chapter 1 practice - quia
TRANSCRIPT
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B1
N
GSS
S Pr
actic
e, G
eom
etry
B
1
Cha
pter
1 P
ract
ice
Tool
s of
Geo
met
ry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
The
figu
re b
elow
is a
cir
cle
with
rad
ius
3 ce
ntim
eter
s.
3 cm
If th
e ra
dius
of
the
circ
le is
dou
bled
, by
wha
t nu
mbe
r is
the
circ
umfe
renc
e m
ultip
lied?
A.
2B.
3
C.
4D
. 5
[G: L
esso
n 1-
6] M
A.9
12.G
.2.7
(M
od)
A
22
Wha
t is
the
leng
th o
f a
segm
ent h
avin
gen
dpoi
nts
with
coo
rdin
ates
(-
3, -
1)an
d (2
, -13
)?
-13
[G: L
esso
n 1-
3] M
A.9
12.G
.1.1
(M
od)
13
33
Tria
ngle
KLM
has
ver
tices
as
show
n in
the
coor
dina
te p
lane
bel
ow.
y
xO
L
K
M
W
hat a
re th
e co
ordi
nate
s of
the
mid
poin
t of
−−−
K
M ?
F.
(2, 2
)G
. (3
, 3)
H.
(3, 1
)I.
(2, 3
)
[G: L
esso
n 1-
3] M
A.9
12.G
.1.1
(M
od)
H
44
The
driv
ing
dist
ance
fro
m M
iam
i to
Key
W
est i
s ab
out 1
60 m
iles.
Wha
t is
the
driv
ing
dist
ance
to th
e ne
ares
t kilo
met
er?
(1 in
. = 2
.54
cm)
-25
7
[G: L
esso
n 0-
2] M
A.9
12.A
.1.5
(M
od)
257
!"#$!"%$&'((($'#")#$*+,,"*-./00123451#11+676"+11#8%"8#71291:;<""*
6=>?:@5<6##%6'A""B*"693<C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGG
GGG$#"6HII?.J3C
!"#$!7B$&'((($'#"$B;K2$*+,,"+-./#123451#11+6#"6"+11%8%L8%71H91:;<""*!"#$!7B$&'((($'#"$B;K2$*+,,"+-./#123451#11+6#"6"+11%8%L8%71H91:;<""*6=>?:@5<6##%6'A""B*"693<C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGGGGG$#"6HII?.J3C---6=>?:@5<6##%6'A""B*"693<C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGGGGG$#"6HII?.J3C
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B2-B3 NGSSS Practice, Geometry
N
GSS
S Pr
actic
e, G
eom
etry
B
3
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
1 P
ract
ice
(continued)
Tool
s of
Geo
met
ry
88
Rec
tang
le P
QR
S ha
s ve
rtic
es a
s sh
own
in th
e co
ordi
nate
pla
ne b
elow
. y
x−
4
−4
−6
−8
46
8
2468-
--
Wha
t is
the
leng
th o
f −−
QS ?
F.
8 H
. 12
G.
9 I.
15
[G: L
esso
n 1-
3] M
A.9
12.G
.1.1
(M
od)
I
99
Tria
ngle
PQ
R h
as v
ertic
es a
s sh
own
belo
w.
y
x
( −1,
2)
( 4, 2
)
( 7,−
1)
If
all
the
coor
dina
tes
are
doub
led,
by
wha
t nu
mbe
r is
the
area
mul
tiplie
d?
-4
[G: L
esso
n 1-
6] M
A.9
12.G
.2.7
(M
od)
4
1010
A p
air
of s
uppl
emen
tary
ang
les
may
not
bot
h be
obt
use.
W
hich
figu
re c
ould
be
used
in a
pro
of o
f th
is
conj
ectu
re?
A.
B.
C.
D. [G
: Les
son
1-5]
MA
.912
.G.8
.4 (
Hig
h)
D
1111
Wha
t num
ber
of s
quar
e m
eter
s is
the
area
of
"A
BC
sho
wn
belo
w?
12 m
20 m
15 m
9 m
F.
47G
. 90
H.
180
I. 3,
600
[G: L
esso
n 1-
6] M
A.9
12.G
.2.5
(M
od)
G
!"#$!"%$&'((($'#")#$*+,,"*-./00123451,11+676"+11#8%"89"12:1;<=""*
6>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGG
GGG$#"[email protected]
B2
NG
SSS
Prac
tice,
Geo
met
ry
Cha
pter
1 P
ract
ice
(continued)
Tool
s of
Geo
met
ry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
55
Qua
drila
tera
l AB
CD
has
fou
r si
des
as s
how
n in
the
figu
re b
elow
.
W
hich
for
mul
a fi
nds
the
peri
met
er o
f A
BC
D?
A.
AB
+ A
D +
BC
+ D
CB.
AB
+ A
C +
BC
+ B
DC.
2(A
D +
AB
)D
. A
D •
AB
[G: L
esso
n 1-
6] M
A.9
12.G
.2.5
(M
od)
A
66
Terr
y is
dra
win
g an
equ
ilate
ral t
rian
gle
on a
co
ordi
nate
pla
ne. S
he p
lace
s th
e fi
rst v
erte
x at
(0,
0),
plac
es th
e se
cond
ver
tex
at (
4, 0
), an
d co
nnec
ts th
em to
dra
w th
e fi
rst s
ide.
Te
rry
choo
ses
a po
int i
n th
e fi
rst q
uadr
ant
for
the
rem
aini
ng v
erte
x. W
hat w
ill b
e th
e y-
coor
dina
te o
f th
is th
ird
vert
ex if
it h
as
an x
-coo
rdin
ate
of 2
?
F.
2G
. 2
√ $ 3
H.
4I.
12
[G: L
esso
n 1-
3] M
A.9
12.G
.1.1
(M
od)
G
77
Sinc
e th
e be
ginn
ing
of th
e sc
hool
yea
r, A
rman
d ha
s re
cord
ed h
ow m
any
mat
h pr
oble
ms
he c
ompl
eted
eac
h w
eek
and
the
tota
l num
ber
over
the
year
. The
tabl
e be
low
sh
ows
a po
rtio
n of
his
rec
ord.
Wee
k10
1112
Wee
kly
Prob
lem
s 21
523
720
2To
tal P
rob
lem
s2,30
62,54
32,77
5
W
hich
gra
ph best a
ppro
xim
ates
the
num
ber
of to
tal p
robl
ems
thro
ugho
ut th
e sc
hool
ye
ar?
A.
Problems
Time
B.
Problems
Time
C.
Problems
Time
D.
Problems
Time
[Fai
r Gam
e] M
A.8
.A.1
.5 (
Mod
) A
!"#$!"%$&'((($'#")#$*+,,"*-./00123451911+676"+11#8%"8#*12:1;<=""*
6>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGG
GGG$#"[email protected]
!"#$!79$&'((($'#"$9<K2$*+,,"+-./9123451911+6#"6"+11%8%L8%L1H:1;<=""*!"#$!79$&'((($'#"$9<K2$*+,,"+-./9123451911+6#"6"+11%8%L8%L1H:1;<=""*6>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGGGGG$#"[email protected]>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGGGGG$#"[email protected]
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B4-B5
B4
NG
SSS
Prac
tice,
Geo
met
ry
Cha
pter
1 P
ract
ice
(continued)
Tool
s of
Geo
met
ry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1212
A F
lori
da b
aseb
all p
itche
r th
row
s a
ball
at
40 m
eter
s pe
r se
cond
. How
fas
t is
this
to th
e ne
ares
t mile
per
hou
r? (
1 km
= 0
.62
mi)
-89
[G: L
esso
n 1-
2] M
A.9
12.A
.1.5
(M
od)
89
1313
DeS
oto
Cou
nty,
Flo
rida
, is
near
ly r
ecta
ngul
ar
in s
hape
with
a le
ngth
to w
idth
rat
io o
f ab
out
3 to
2. T
he a
rea
of th
e co
unty
is 6
40 s
quar
e m
iles.
Wha
t is
the
peri
met
er o
f D
eSot
o C
ount
y, to
the
near
est m
ile?
A.
65 m
iB.
10
3 m
iC.
1,0
67 m
iD
. 4,
096
mi
[G: L
esso
n 1-
6] M
A.9
12.G
.2.5
(M
od)
B
1414
Rec
tang
le J
KLM
has
an
area
of
28 s
quar
e ce
ntim
eter
s.
= 2
8 cm
2
If
the
side
s −−
JK a
nd −−
ML
are
both
trip
led
in
leng
th, h
ow m
any
squa
re c
entim
eter
s is
the
new
are
a?
-8
4
[G: L
esso
n 1-
6] M
A.9
12.G
.2.7
(M
od)
84
1515
Tria
ngle
XYZ
has
ver
tices
X(-
3, 3
), Y(
-1,
0),
and
Z(2,
2).
Whi
ch is
the
long
est s
ide
of
∆X
YZ?
F. −−
X
Y G
. −−
YZ
H
. −−
X
Z I.
The
re is
no
sing
le lo
nges
t sid
e.
[G: L
esso
n 1-
3] M
A.9
12.G
.1.1
(M
od)
H
!"#$!"%$&'((($'#")#$*+,,"*-./00123451%11+676"+11#8%"89,12:1;<=""*
6>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGG
GGG$#"[email protected]
NG
SSS
Prac
tice,
Geo
met
ry
B5
Cha
pter
2 P
ract
ice
Reas
onin
g an
d Pr
oof
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
Giv
en: ∠
ACD
and
∠B
CD
sha
re −−
CD
.
W
hich
con
ject
ure
coul
d be
pro
ven
with
the
addi
tiona
l giv
en in
form
atio
n?
A.
∠AC
D $
∠B
CD
, giv
en th
atm∠
ACD
= 9
0°.
B. A
C =
CD
, giv
en th
at C
D =
BC
.C.
∠AC
D a
nd ∠
BC
D a
re s
uppl
emen
tary
, gi
ven
that
poi
nts
A, C
, and
B a
re
colli
near
.D
. ∠
ACD
$ ∠
BC
D, g
iven
that
−−
CD
is
perp
endi
cula
r to
−−
BC
.
[G: L
esso
n 2-
8] M
A.9
12.G
.8.4
(H
igh)
C
22
The
200
8 es
timat
ed F
lori
da p
opul
atio
n is
18
,328
,340
. Abo
ut 0
.3%
of
the
popu
latio
n sp
eaks
Tag
alog
as
a fi
rst l
angu
age.
Abo
ut
how
man
y Fl
orid
ians
spe
ak T
agal
og a
s a
firs
t la
ngua
ge?
F.
5,50
0G
. 55
,000
H.
550,
000
I. 5,
500,
000
[A: L
esso
n 0-
6] M
A.9
12.A
.1.4
(M
od)
G
33
Whi
ch g
raph
bes
t rep
rese
nts
the
solu
tion
to
the
ineq
ualit
y y ≤
2x
+ 3
?
A.
y
xO -2
-3
-4
21
43
43
2
34 12
B.
Ox
24
3
-2
-31234
43
21y
-4
C.
Ox
24
3
-2
-3123
43
2
y
-44
1
D.
Ox
43
-2
-3123
43
2
y
-4
21
4
[Fai
r Gam
e] M
A.8
.A.4
.2 (
Mod
) A
!"7$!"*$&'((($'#")9$*+,,"*-./00123451711+676"+11#8%"8%%12:1;<=""*
6>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGG
GGG$#"[email protected]
!"#$!79$&'((($'#"$9<K2$*+,,"+-./,123451,11+6#"6"+11%8%L8%*1H:1;<=""*!"#$!79$&'((($'#"$9<K2$*+,,"+-./,123451,11+6#"6"+11%8%L8%*1H:1;<=""*6>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGGGGG$#"[email protected]>?@;A5=6##%6'B""9*"6:3=C5D./4$CE5$&'((($'D305$#"F"6GGGGGGGGGGGGG$#"[email protected]
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B6-B7 NGSSS Practice, Geometry
B6
NG
SSS
Prac
tice,
Geo
met
ry
Cha
pter
2 P
ract
ice
(continued)
Reas
onin
g an
d Pr
oof
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
44
Wha
t is
the
valu
e of
3-
4 ?
F.
-81
G.
-12
H.
- 1 _
81
I. 1 _
81
[A: L
esso
n 7.
2] M
A.9
12.A
.1.3
(Lo
w)
I
55
Wha
t is
the
valu
e of
63 _
6-
2 ?
A.
60
B.
3 _
2
C. 2
D.
65
[A: L
esso
n 7-
2] M
A.9
12.A
.1.3
(M
od)
D
66
Whi
ch e
xpre
ssio
n is
equ
ival
ent t
o
5 _
3-
√__ 2 ?
F.
15 +
5 √__
2 _
7
G.
15 √__
5 -
5
_
7
H.
15 +
7 √__
2 _
5
I. 15
- 5
√__ 2
_
7
[G: L
esso
n 0-
9] M
A.9
12.A
.1.1
(Lo
w)
F
77
Wha
t is
the
valu
e of
the
follo
win
g ex
pres
sion
? 23 + 3
(7 -
50 )
A.
24B.
26
C.
29D
. 66
[A: L
esso
n 1-
2] M
A.9
12.A
.1.4
(M
od)
B
88
The
bar
gra
ph b
elow
dis
play
s th
e he
ight
s of
th
e fiv
e ta
llest
ligh
thou
ses
in th
e U
nite
d St
ates
.
Cape H
attera
s, NC Po
nce In
let, FL Barn
egat, N
JBod
ie Isla
nd, N
CCap
e Loo
kout, N
C
160
170
180
190
150 0
200
Height (ft)
W
hich
is a
val
id in
terp
reta
tion
of th
e da
ta?
F.
The
Cap
e H
atte
ras
light
hous
e is
abo
ut
twic
e as
tall
as th
e C
ape
Loo
kout
lig
htho
use.
G.
The
re is
no
diff
eren
ce in
hei
ght b
etw
een
the
Ponc
e In
let a
nd B
arne
gat
light
hous
es.
H.
Mos
t lig
htho
uses
in th
e U
nite
d St
ates
are
ab
out 1
70 f
eet i
n he
ight
. I.
The
Bod
ie I
slan
d lig
htho
use
is m
ore
than
20
fee
t sho
rter
than
the
Cap
e H
atte
ras
light
hous
e.
[A: L
esso
n 0-
13] M
A.9
12.S
.3.1
(M
od)
I
!"#$!"%$&'((($')"*+$%,--"%./0112345
6,7%7",
)8")8)-29
:;<""%
7=>?:@5<7))A7'B""+%"793<C5D/04$CE5$&'((($'D315$)"F"7GGGGGGGGGGGGG$)"7H
II?/J3C
NG
SSS
Prac
tice,
Geo
met
ry
B7
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
2 P
ract
ice
(continued)
Reas
onin
g an
d Pr
oof
99
Wha
t is
the
valu
e of
the
follo
win
g ex
pres
sion
?
5(33 -
22 )
+ 7
A.
5
B.
17C.
32
D.
122
[A: L
esso
n 1-
2] M
A.9
12.A
.1.4
(M
od)
D
1010
Tria
ngle
XYZ
lies
in th
e co
ordi
nate
pla
ne a
s sh
own
belo
w. R
obb
thin
ks th
at !
XYZ
is
isos
cele
s.
Yy
X
Z
xO
W
hich
wou
ld R
obb
use
to p
rove
or
disp
rove
hi
s co
njec
ture
?
F.
dist
ance
for
mul
aG
. Py
thag
orea
n T
heor
emH
. m
idpo
int f
orm
ula
I. sl
ope
form
ula
[G: L
esso
n 2-
6] M
A.9
12.G
.8.4
(H
igh)
F
1111
Whi
ch e
xpre
ssio
n is
equ
ival
ent t
o
2 _
√__
7 -
2 ?
A.
2 √__
7 -
4
_
5
B.
2 √__
5 _
5
C.
2 √__
7 +
4
_
3
D.
2 √__
7 +
2
_
11
[A: L
esso
n 0-
2] M
A.9
12.A
.1.1
(Lo
w)
C
1212
Mad
alyn
thin
ks th
at th
e su
m o
f th
e an
gle
mea
sure
s in
a q
uadr
ilate
ral i
s 36
0°. S
he
alre
ady
know
s th
at th
e su
m o
f th
e an
gle
mea
sure
s in
a tr
iang
le is
180
°, a
nd s
he p
lans
to
bas
e he
r pr
oof
on th
at f
act.
Mad
alyn
sta
rts
her
proo
f by
dra
win
g th
e fi
gure
bel
ow.
6 4
531
27
H
er fi
gure
can
be
used
to p
rove
that
wha
t so
rt o
f qu
adri
late
rals
con
tain
360
°?
F.
only
Mad
alyn
’s q
uadr
ilate
ral
G.
all q
uadr
ilate
rals
H.
all c
onve
x qu
adri
late
rals
I. al
l con
vex
quad
rila
tera
ls th
at a
re n
ot
para
llelo
gram
s
[G: L
esso
n 2-
8] M
A.9
12.G
.8.4
(H
igh)
I
!"#$!"%$&'((($')"*+$%,--"%./011K2345KLKK,7#7",KK)8A"8A,K29K:;<""%
7=>?:@5<7))A7'B""+%"793<C5D/04$CE5$&'((($'D315$)"F"7GGGGGGGGGG
GGG$)"7HII?/J3C
!")$!#+$&'((($')"$+;M2$%,--",./0AK2345KAKK,7)"7",KKA8AL8#"KH9K:;<""%!")$!#+$&'((($')"$+;M2$%,--",./0AK2345KAKK,7)"7",KKA8AL8#"KH9K:;<""%7=>?:@5<7))A7'B""+%"793<C5D/04$CE5$&'((($'D315$)"F"7GGGGGGGGGGGGG$)"7HII?/J3C...7=>?:@5<7))A7'B""+%"793<C5D/04$CE5$&'((($'D315$)"F"7GGGGGGGGGGGGG$)"7HII?/J3C
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B8-B9
B8
NG
SSS
Prac
tice,
Geo
met
ry
Cha
pter
2 P
ract
ice
(continued)
Reas
onin
g an
d Pr
oof
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1313
On
a lo
adin
g do
ck, a
con
veyo
r ra
mp
is u
sed
to m
ove
pack
ages
fro
m th
e do
ck to
a p
oint
on
the
end
of a
truc
k. I
n th
e fi
gure
, lin
e !
repr
esen
ts th
e lo
adin
g do
ck a
nd p
oint
P
repr
esen
ts th
e po
int o
n th
e tr
uck.
Whi
ch
theo
rem
sta
tes
that
this
is p
ossi
ble?
!
A.
Exa
ctly
one
line
can
be
draw
n be
twee
n tw
o po
ints
.B.
If
two
poin
ts o
f a
line
are
in a
giv
en
plan
e, th
en th
e lin
e is
in th
e pl
ane.
C. A
pla
ne c
onta
ins
a m
inim
um o
f th
ree
non-
colli
near
poi
nts.
D.
A li
ne a
nd a
poi
nt n
ot o
n th
e lin
e ar
e co
ntai
ned
in e
xact
ly o
ne p
lane
.
[G: L
esso
n 2-
5] M
A.9
12.G
.8.4
(H
igh)
D
1414
Whi
ch c
hoic
e is
equ
ival
ent t
o (2
2 )3
_
24 ?
F.
2 –3
G.
20
H.
21
I. 22
[A: L
esso
n 7-
1] M
A.9
12.A
.1.3
(M
od)
I
1515
Giv
en: m∠
QR
S =
90°
and
−−
PQ
is a
str
aigh
t lin
e
Whi
ch c
onje
ctur
e co
uld
be p
rove
n us
ing
the
give
n in
form
atio
n fo
r th
e fi
gure
abo
ve?
A. ∠
QR
S an
d ∠
PR
T ar
e ve
rtic
al a
ngle
s.B.
−−
SR
is th
e pe
rpen
dicu
lar
bise
ctor
of
−−
PQ
C.
m∠
PR
S =
90°
D.
m∠
TRS
= 3
0°
[G: L
esso
n 2-
8] M
A.9
12.G
.8.4
(M
od)
C
1616
The
Bur
eau
of C
ensu
s re
port
ed th
e po
pula
tion
of P
alm
Bea
ch C
ount
y to
be
1,26
5,29
3 in
Jul
y of
200
8. T
his
was
an
11.9
% in
crea
se in
the
popu
latio
n fr
om
Apr
il 1,
200
0. A
bout
wha
t was
the
incr
ease
in
pop
ulat
ion
over
this
tim
e pe
riod
?
F.
1,35
0G
. 13
,500
H.
135,
000
I. 1,
350,
000
[A: L
esso
n 0-
6] M
A.9
12.A
.1.4
(M
od)
H
!"#$!"%$&'((($')"*+$%,--"%./011234562%22,7#7",22)89"8#"23:2;<=""%
7>?@;A6=7))97'B""+%"7:4=C6D/05$CE6$&'((($'D416$)"F"7GGGGGGGGGG
GGG$)"7HII@/J4C
NG
SSS
Prac
tice,
Geo
met
ry
B9
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
3 P
ract
ice
Para
llel a
nd P
erpe
ndic
ular
Lin
es
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
In th
e fi
gure
bel
ow, l
ines
a a
nd b
are
par
alle
l. L
ine
c is
a tr
ansv
ersa
l.
1 2
a b
c
W
hat i
s th
e de
gree
sum
of
the
mea
sure
s of
an
gles
1 a
nd 2
? -180
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
180
22
Alte
rnat
e in
teri
or a
ngle
s ar
e ne
ver
supp
lem
enta
ry.
W
hich
situ
atio
n w
ould
pro
vide
a
coun
tere
xam
ple
to th
is s
tate
men
t?
A.
a lin
e th
at is
par
alle
l to
two
para
llel l
ines
B. a
tran
sver
sal t
hat f
orm
s a
45°
angl
e w
ith
two
para
llel l
ines
C. a
tran
sver
sal t
hat i
s pe
rpen
dicu
lar
to tw
o pa
ralle
l lin
esD
. a
line
who
se s
lope
equ
als
the
slop
es o
f tw
o pa
ralle
l lin
es
[G: L
esso
n 3-
3] M
A.9
12.G
.1.3
(M
od)
C
33
Whi
ch g
raph
sho
ws
the
solu
tion
to th
e fo
llow
ing
syst
em o
f eq
uatio
ns?
{ 4
- 2
x =
1 _
2 y
4x
+ 6
y =
-6
F.
x5
43
2
y
32
1O -22 134
-35
G.
x5
43
2
y
32
1O -4
-3
-212
-53
H.
x7
6
y
54
32
1O -4
-3
-212
-53
I.
x5
4
y
32
1O -2
-3-
2
3 2 14
-35
[Fai
r Gam
e] M
A.8
.A.1
.4 (
Mod
) H
!",$!)+$&'((($')"*-$%,--"%./011234562,22,7#7",22)89)8)-23:2;<=""%
7>?@;A6=7))97'B""+%"7:4=C6D/05$CE6$&'((($'D416$)"F"7GGGGGGGGGG
GGG$)"7HII@/J4C
!")$!#+$&'((($')"$+<K3$%,--",./0#234562#22,7)"7",22989L8#+2H:2;<=""%!")$!#+$&'((($')"$+<K3$%,--",./0#234562#22,7)"7",22989L8#+2H:2;<=""%7>?@;A6=7))97'B""+%"7:4=C6D/05$CE6$&'((($'D416$)"F"7GGGGGGGGGGGGG$)"7HII@/J4C...7>?@;A6=7))97'B""+%"7:4=C6D/05$CE6$&'((($'D416$)"F"7GGGGGGGGGGGGG$)"7HII@/J4C
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B10-B11 NGSSS Practice, Geometry
B10
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
3 P
ract
ice
(con
tinue
d)
Para
llel a
nd P
erpe
ndic
ular
Lin
es
44
The
tabl
e be
low
sho
ws
the
coor
dina
tes
of
two
poin
ts th
at li
e on
line
s m
and
n.
Poin
t 1
Poin
t 2
Line
m
(5, –
2)
(0, 3
)
Line
n
(4, 6
) (1
0, 0
)
W
hich
cho
ice be
st d
escr
ibes
the
rela
tions
hip
betw
een
lines
m a
nd n
?
A.
The
line
s ar
e pa
ralle
l. B.
T
he li
nes
are
perp
endi
cula
r. C.
T
he li
nes
are
neith
er p
aral
lel n
or
perp
endi
cula
r. D
. L
ines
m a
nd n
are
def
ined
by
the
sam
e eq
uatio
n.
[G: L
esso
n 3-
4] M
A.9
12.G
.1.4
(M
od)
A
55
In th
e fi
gure
bel
ow, −−
AB
‖ −−
DE
.
110°
30°
34
56
7
12
Wha
t is m∠
6?
F.
30°
G.
70°
H.
80°
I. 11
0°
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
H
66
In th
e fi
gure
bel
ow, w
hat t
erm
can
be
used
to
desc
ribe
ang
les
1 an
d 2?
1
2
a b
c
A.
alte
rnat
e ex
teri
or a
ngle
s B.
al
tern
ate
inte
rior
ang
les
C.
cons
ecut
ive
inte
rior
ang
les
D.
vert
ical
ang
les
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
A
77
Lin
e p
pass
es th
roug
h th
e po
ints
(3,
0)
and
(0, –
1). W
hat i
s an
equ
atio
n of
a li
ne
perp
endi
cula
r to
line
p a
nd w
ith th
e sa
me
y-in
terc
ept?
F. y
= 1 _
3 x
– 1
G. y
= –
3x –
1
H. y
= 3x
– 1
I. y
= –
1 _
3 x –
1
[G: L
esso
n 3-
4] M
A.9
12.G
.1.4
(M
od)
G
88
In th
e fi
gure
bel
ow, l
ines
c a
nd d
are
par
alle
l. If
m∠
1 =
74º
, wha
t is
the
mea
sure
of ∠
3?
13
2
cd
A.
16º
C.
90º
B.
74º
D.
106º
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
B
!"#$!%&$'()))$(%"*+$,#++",-./00123451%"11#676"#11%89%8%,12:1;<="",
6>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGG
GGGGG$%"[email protected]
NG
SSS
Prac
tice,
Geo
met
ry
B11
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
3 P
ract
ice
(con
tinue
d)
Para
llel a
nd P
erpe
ndic
ular
Lin
es
99
On
the
coor
dina
te g
rid
is th
e gr
aph
of th
e lin
e re
pres
ente
d by
the
equa
tion
2x -
3y
= 9
.
y
x
W
hat i
s th
e eq
uatio
n of
a li
ne th
roug
h po
int
A th
at is
per
pend
icul
ar to
this
line
?
F.
3x +
2y
= -
6G
. 3x
+ 2y
= 6
H.
3x -
2y
= -
6I.
2x +
3y
= -
18
[G: L
esso
n 3-
4] M
A.9
12.G
.1.4
(M
od)
F
1010
Lin
e n
cont
ains
the
poin
t (-
3, 4
) an
d ha
s a
slop
e of
- 2 _
5 .
Whi
ch o
f th
e fo
llow
ing
is a
n eq
uatio
n of
n in
poi
nt-s
lope
for
m?
A. x
- 4
= -
2 _
5 (y +
3)
B. y
- 4
= -
2 _
5 (x +
3)
C. x
+ 3
= -
2 _
5 (y -
4)
D. y
+ 3
= -
2 _
5 (x -
4)
[G: L
esso
n 3-
4] M
A.9
12.G
.1.4
(M
od)
B
1111
Lin
e !
has
a sl
ope
of 5 _
2 .
Whi
ch li
ne b
elow
ha
s a
slop
e th
at m
akes
the
line
perp
endi
cula
r to
line
!?
F.
O -2
-3
-4
-5
13
45
2-
2-
4
2 1345y
x( −
2,−
3)
( 0, 2
)
G.
O -2
-3
-4
-5
13
45
2-
2-
4
2 1345y
x
( 0, 2
) ( 2,−
3)
H.
O -2
-3
-4
-5
13
45
2-
2-
4
2 1345y
x
( −3,
2)
( 2, 0
)
I.
O -2
-3
-4
-5
13
45
2-
2-
4
2 1345y
x
( 3, 2
)
( −2,
0)
[G: L
esso
n 3-
4] M
A.9
12.G
.1.4
(M
od)
H
!"#$!%&$'()))$(%"*+$,#++",-./00123451%%11#676"#11%89%8%#12:1;<="",
6>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGG
GGGGG$%"[email protected]
!"%$!7&$'()))$(%"$&<K2$,#++"#-./L123451L11#6%"6"#11989M8791H:1;<="",!"%$!7&$'()))$(%"$&<K2$,#++"#-./L123451L11#6%"6"#11989M8791H:1;<="",6>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGGGGGGG$%"[email protected]>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGGGGGGG$%"[email protected]
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B12-B13
B12
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
3 P
ract
ice
(con
tinue
d)
Para
llel a
nd P
erpe
ndic
ular
Lin
es
1212
In th
e fi
gure
bel
ow, l
ines
! a
nd m
are
par
alle
l an
d lin
es n
and
p a
re p
aral
lel.
!m
pn1
23
45
67
8
910
1112
1314
1516
If
m∠
7 =
75°
, the
n w
hich
of
the
follo
win
g is
fal
se?
A.
m∠
1 =
105
° B.
∠10
and
∠13
are
sup
plem
enta
ry.
C. m
∠10
= m∠
4 D
. m∠
1 +
m∠
4 +
m∠
16 +
m∠
13 =
360
°
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
B
1313
A li
ne p
asse
s th
roug
h th
e po
ints
(6,
9)
and
(–2,
–3)
. Wha
t is
the
equa
tion
of th
e lin
e in
sl
ope-
inte
rcep
t for
m?
F.
y =
2 _
3 x
G.
y =
3 _
2 x
H.
y =
2 _
3 x +
1
I. y
= 3 _
2 x
+ 1
[G: L
esso
n 3-
4] M
A.9
12.G
.1.4
(M
od)
G
1414
In th
e fi
gure
bel
ow, w
hat t
erm
can
be
used
to
desc
ribe
ang
les
1 an
d 2?
1
2
a b
c
A.
alte
rnat
e in
teri
or a
ngle
s B.
alte
rnat
e ex
teri
or a
ngle
sC.
cor
resp
ondi
ng a
ngle
s D
. ve
rtic
al a
ngle
s
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
C
1515
Lin
e t i
s a
tran
sver
sal t
o lin
es !
and
m.
!m
t( x+
15)
°
( 4x)
°
Wha
t mus
t be
the
valu
e of
x s
o th
at !
‖ m
?
F.
5G
. 15
H.
33I.
39
[G: L
esso
n 3-
2] M
A.9
12.G
.1.3
(M
od)
H
!"#$!%&$'()))$(%"*+$,#++",-./00123451%&11#676"#11%89%8&&12:1;<="",
6>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGG
GGGGG$%"[email protected]
NG
SSS
Prac
tice,
Geo
met
ry
B13
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
4 P
ract
ice
Con
grue
nt T
rian
gles
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
In th
e fi
gure
bel
ow, −−
BD
bis
ects
−−
AC .
W
hat f
urth
er in
form
atio
n is
nee
ded
to p
rove
th
at %
AB
D &
%C
BD
by
SSS?
A.
−−
AB
& −−
CB
.B.
−−
BD
& −−
AD
.C.
−−
BD
bis
ects
∠A
BC
.D
. N
o fu
rthe
r in
form
atio
n is
nee
ded.
[Les
son
4-4]
MA
.912
.G.4
.6 (
Hig
h)
A
22
Wha
t is
the
valu
e of
x?
45
55x
F.
80G
. 90
H.
100
I. 12
0 [Les
son
4-2]
MA
.912
.G.2
.2 (
Mod
) H
33
In th
e di
agra
m b
elow
, KM
= K
L.
38°
56°
Wha
t is
the
degr
ee m
easu
re o
f ∠
JKM
?
-18
[G: L
esso
n 4-
6] M
A.9
12.G
.2.2
(M
od)
18
44
Tria
ngle
GH
I ha
s ve
rtic
es G
(–8,
0),
H(0
, 0),
and
I(0,
6).
Whi
ch o
f th
e fo
llow
ing
coor
dina
tes
desc
ribe
a tr
ansf
orm
atio
n su
ch
that
%G
HI &
%G′H′I′
?
A.
G′(–
6, 2
), H′(2
, 2),
I′(0,
8)
B. G
′(0, 8
), H′(0
, 0),
I′(0,
6)
C. G
′(–16
, 0),
H′(0
, 0),
I′(0,
12)
D.
G′(–
8, –
2), H′(0
, –2)
, I′(0
, –8)
[Les
son
4-7]
MA
.912
.G.2
.6 (
Hig
h)
D
!%+$!%K$'()))$(%"*9$,#++",-./00123451%+11#676"#11%89%89K12:1;<="",
6>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGG
GGGGG$%"[email protected]
!"%$!7&$'()))$(%"$&<L2$,#++"#-./M123451M11#6%"6"#11989M87K1H:1;<="",!"%$!7&$'()))$(%"$&<L2$,#++"#-./M123451M11#6%"6"#11989M87K1H:1;<="",6>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGGGGGGG$%"[email protected]>?@;A5=6%%96(B""&,"6:3=C5D./4$CE5$'()))$(D305$%"F"6GGGGGGGGGGGGG$%"[email protected]
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B14-B15 NGSSS Practice, Geometry
B14
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
4 P
ract
ice
(con
tinue
d)
Con
grue
nt T
rian
gles
55
Tria
ngle
s JK
L an
d M
NL
shar
e ve
rtex
L a
nd
have
the
side
leng
ths
liste
d in
the
figu
re
belo
w.
6
6
12
12
10
Wha
t is
the
valu
e of
x?
F.
6G
. 10
H.
12I.
20 [Les
son
4-3]
MA
.912
.G.4
.4 (
Mod
) G
66
The
equ
atio
n be
low
des
crib
es th
e su
m o
f th
e m
easu
res
of th
e an
gles
in a
tria
ngle
:m∠
1 +
m∠
2 +
m∠
3 =
180
º
Whi
ch c
hoic
e is
a s
olut
ion
for
all
poss
ible
m∠
1?
A.
m∠
1 =
18
0º
__
m∠
2 +
m∠
3
B. m
∠1
= 1
80º -
(m∠
2 +
m∠
3)C.
m∠
1 =
180
º + (
m∠
2 +
m∠
3)D
. m∠
1 =
60º
[Fai
r Gam
e] M
A.8
.A.4
.1 (
Low
) B
77
Wha
t is
m∠
DC
E?
4213
6
F.
42º
G.
54º
H.
94º
I. 96
º
[Les
son
4-2]
MA
.912
.G.2
.2 (
Mod
) H
88
The
Ber
mud
a Tr
iang
le is
a p
art o
f th
e A
tlant
ic O
cean
rep
uted
to c
ause
mys
teri
ous
navi
gatio
nal p
robl
ems
for
ship
s an
d ai
rpla
nes.
The
sid
es o
f th
e B
erm
uda
Tria
ngle
ru
n fr
om M
iam
i, FL
sou
thea
st to
San
Jua
n,
Puer
to R
ico;
then
nor
th to
Ber
mud
a,
Ber
mud
a; a
nd th
en s
outh
wes
t bac
k to
M
iam
i. T
he r
egio
n is
rou
ghly
equ
ilate
ral
with
eac
h si
de a
bout
100
0 m
iles
long
. A
coor
dina
te g
rid
is p
lace
d on
a m
ap s
o th
at
Mia
mi i
s at
(0,
0)
and
San
Juan
is a
t (10
, 0).
Whi
ch o
f th
e fo
llow
ing
wou
ld b
e th
e co
ordi
nate
s of
Ber
mud
a?
A.
(0, 1
0)B.
(5,
5 √__
3 )C.
(6,
4)
D.
(5 √__
3 , 5
)
[Les
son
4-8]
MA
.912
.G.2
.6 (
Hig
h)
B
!"#$!"%$&'((($'")*+$,-##),./011234562"+22-787)-22"9+"9+-23:2;<=)),
7>?@;A6=7""+7'B))C,)7:4=D6E/05$DF6$&'((($'E416$")G)7HHHHHHHH
HHHHH$")7IJJ@/K4D
NG
SSS
Prac
tice,
Geo
met
ry
B15
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
4 P
ract
ice
(con
tinue
d)
Con
grue
nt T
rian
gles
99
Wha
t is
m∠
AB
C?
6412
4
F.
26º
G.
56º
H.
90º
I. 98
º [Les
son
4-2]
MA
.912
.G.2
.2 (
Mod
) I
1010
−−
AB
# −−
DE
and
−−
AB
‖ −−
DE
.
By
whi
ch p
ostu
late
or
theo
rem
is
%A
BC
# %
ED
C?
A.
ASA
B. S
SSC.
SA
SD
. H
L
[G: L
esso
n 4-
5] M
A.9
12.G
.4.6
(H
igh)
A
1111
Tria
ngle
AB
C is
con
grue
nt to
tria
ngle
DE
F.
If th
e co
ordi
nate
s of
tria
ngle
AB
C a
re
A(–
4, 2
), B
(–3,
–4)
, and
C(–
2, 2
), w
hat t
ype
of tr
iang
le is
%D
EF
?
F.
isos
cele
sG
. ri
ght
H.
scal
ene
I. eq
uila
tera
l
[Les
son
4-8]
MA
.912
.G.2
.6 (
Hig
h)
F
1212 %
AB
C a
nd %
DE
F a
re is
osce
les
tria
ngle
s as
in
dica
ted
and
−−
AB
# −−
DE
.
Whi
ch o
f th
e fo
llow
ing
stat
emen
ts is
not
su
ffic
ient
to p
rove
%A
BC
# %
DE
F?
A. ∠
A #
∠B
B.
∠A
# ∠
D
C. −−
AC #
−−
DF
D
. ∠
B #
∠E
[Les
son
4-5]
MA
.912
.G.4
.6 (
Hig
h)
A
1313
Tria
ngle
AB
C w
ith v
ertic
es a
s sh
own
is to
be
refl
ecte
d ov
er th
e x-
axis
to f
orm
%X
YZ.
y
x
( 0, 4
)
( 3, 5
)
( 7, 2
)
W
hat w
ill b
e th
e le
ngth
of
−−
YZ ?
F.
√___
10
G.
5H
. √__
_ 53
I.
25
[G: L
esso
n 4-
7] M
A.9
12.G
.4.8
(H
igh)
B
!"#$!"%$&'((($'")*+$,-##),./011234562"822-787)-22"9+"98"23:2;<=)),
7>?@;A6=7""+7'B))C,)7:4=D6E/05$DF6$&'((($'E416$")G)7HHHHHHHH
HHHHH$")7IJJ@/K4D
!)"$!8C$&'((($'")$C<L3$,-##)-./0,234562,22-7")7)-22+9+M98,2I:2;<=)),!)"$!8C$&'((($'")$C<L3$,-##)-./0,234562,22-7")7)-22+9+M98,2I:2;<=)),7>?@;A6=7""+7'B))C,)7:4=D6E/05$DF6$&'((($'E416$")G)7HHHHHHHHHHHHH$")7IJJ@/K4D...7>?@;A6=7""+7'B))C,)7:4=D6E/05$DF6$&'((($'E416$")G)7HHHHHHHHHHHHH$")7IJJ@/K4D
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B16-B17
N
GSS
S Pr
actic
e, G
eom
etry
B
17
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
5 P
ract
ice
Rela
tions
hips
in T
rian
gles
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
In th
e fi
gure
bel
ow, w
hat a
re th
e po
ssib
le
valu
es f
or x
?
46 x
A.
2 ≤
xB.
2 <
x <
10
C. 2
≤ x
≤ 1
0 D
. x
< 1
0
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
B
22
Loo
k at
the
figu
re b
elow
.
115°
25°
W
hich
is a
true
rel
atio
nshi
p fo
r th
e si
des
of
the
tria
ngle
?
F.
XZ
< X
YG
. X
Y <
YZ
H.
XZ
< YZ
I.
XY
< X
Z
[G: L
esso
n 5-
3] M
A.9
12.G
.4.7
(M
od)
I
33
Whi
ch o
f th
e fo
llow
ing
leng
ths
can
be u
sed
to f
orm
a tr
iang
le?
A.
2, 3
, 7B.
5, 1
3, 9
C. 3
, 8, 1
4D
. 9.
3, 1
.4, 7
.2
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
B
44
In th
e fi
gure
bel
ow, w
hich
of
the
follo
win
g co
uld
not b
e th
e va
lue
of p
?
9 ft
6 ft
pft
F.
2G
. 5
H.
7I.
10
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
F
55
Tria
ngle
XYZ
has
the
follo
win
g an
gle
mea
sure
s: m∠
X =
50°
, m∠
Y =
60°
, and
m∠
Z =
70°
. Whi
ch s
tate
men
t is
fals
e?
A.
XZ
< X
Y B.
ZY
< X
Y C.
XY
< Z
Y +
XZ
D.
XZ
< Z
Y
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
D
!"#$!%&$'()))$("&*+$,-..&,/0122345673"#33-8+8&-33"9:%9".34;3<=>&&,
8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHH
HHHHH$"&8IJJA0K5D
B16
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
4 P
ract
ice
(con
tinue
d)
Con
grue
nt T
rian
gles
1414 #
AB
C s
how
n be
low
is a
n eq
uila
tera
l tr
iang
le. W
hat i
s m∠
DAC
?
70
A.
10º
B.
50º
C.
60º
D.
110º [Les
son
4-6]
MA
.912
.G.2
.2 (
Mod
) A
1515
In th
e di
agra
m, #
AB
C $
#E
DC
and
m∠
ACD
= (
3x -
4)°
.
95°
50°
35°
Wha
t is
the
valu
e of
x?
F.
33G
. 18
H.
15I.
13
[G: L
esso
n 4-
3] M
A.9
12.G
.4.6
(H
igh)
G
1616
In th
e di
agra
m, #
AB
C $
#D
EC
.
Whi
ch o
f th
e fo
llow
ing
stat
emen
ts is
not
su
ppor
ted
by th
is c
ongr
uenc
e?
A. −−
AB
|| −−
DE
B.
−−
AD
bis
ects
−−
BE
C.
−−
BE
⊥ −−
AB
D
. C
is th
e m
idpo
int o
f −−
AD
[Les
son
4-5]
MA
.912
.G.4
.6 (
Hig
h)
C
17
17
In th
e fi
gure
bel
ow, −−
BD
bis
ects
∠A
BC
.
30°
48°
W
hat i
s th
e m
easu
re o
f ∠
BD
C?
F.
51º
G.
81º
H.
99º
I. 10
2º [Les
son
4-2]
MA
.912
.G.2
.2 (
Mod
) G
!".$!"L$'()))$("&*:$,-..&,/0122345673"L33-8+8&-33"9:"9+.34;3<=>&&,
8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHH
HHHHH$"&8IJJA0K5D
!&"$!+%$'()))$("&$%=M4$,-..&-/01-345673-33-8"&8&-33:9:#9+-3I;3<=>&&,!&"$!+%$'()))$("&$%=M4$,-..&-/01-345673-33-8"&8&-33:9:#9+-3I;3<=>&&,8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHHHHHHH$"&8IJJA0K5D///8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHHHHHHH$"&8IJJA0K5D
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B18-B19 NGSSS Practice, Geometry
B18
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
5 P
ract
ice
(con
tinue
d)
Rela
tions
hips
in T
rian
gles
66
Tria
ngle
s P
QT
and
RQ
T sh
are
side
−−
QT
and
have
sid
e m
easu
res
as s
how
n.
12
9812
W
hich
sta
tem
ent b
elow
must b
e tr
ue?
F.
m∠
P >
m∠
RG
. m∠
PQ
T >
m∠
RQ
TH
. m∠
PTQ
= m∠
QTR
I. −−
QT ⊥
−−
PR
[G: L
esso
n 5-
6] M
A.9
12.G
.4.7
(M
od)
G
77
From
156
5 to
176
3 th
e Sp
anis
h E
mpi
re
clai
med
Flo
rida
as
its te
rrito
ry. D
urin
g th
at
peri
od th
e E
mpi
re u
sed
as it
s fl
ag th
e C
ross
of
Bur
gand
y, a
red
bra
nche
d cr
oss
on a
re
ctan
gula
r w
hite
bac
kgro
und
that
was
5 f
eet
high
by
8.5
feet
long
. 1
2
T
he c
ross
for
ms
the
equa
l len
gth
diag
onal
s of
the
rect
angl
e, w
hich
inte
rsec
t at t
heir
m
idpo
ints
. Whi
ch is
a tr
ue r
elat
ions
hip
for
∠1
and ∠
2?
A.
m∠
1 >
m∠
2 B.
m∠
1 <
m∠
2 C.
m∠
1 +
m∠
2 =
90
D
. m∠
1 =
m∠
2
[G: L
esso
n 5-
6] M
A.9
12.G
.4.7
(M
od)
A
88
In th
e tr
iang
le s
how
n be
low
, the
mea
sure
s of
tw
o si
des
are
3 fe
et a
nd 1
3 fe
et.
3 ft
13 ft
xft
Wha
t is
the
leas
t pos
sibl
e w
hole
num
ber
mea
sure
for
the
thir
d si
de?
F.
10
G.
11H
. 15
I. 16
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
G
99
Eac
h af
tern
oon
duri
ng h
is s
prin
g br
eak,
D
avis
goe
s to
a s
hopp
ing
mal
l and
pla
ys
vide
o ga
mes
. His
spe
ndin
g ca
n be
mod
eled
by
the
equa
tion
y =
-10
x +
130
, whe
re x
is
the
num
ber
of h
ours
Dav
is s
pend
s at
the
mal
l an
d y
is th
e am
ount
of
mon
ey D
avis
has
left
. W
hat i
nfor
mat
ion
does
the x-intercep
t of
this
mod
el te
ll?
A.
the
num
ber
of h
ours
unt
il D
avis
is o
ut o
f m
oney
B.
the
am
ount
of
mon
ey D
avis
had
at t
he
begi
nnin
g of
spr
ing
brea
k C.
the
num
ber
of h
ours
Dav
is h
as s
pent
at
the
mal
l D
. th
e am
ount
of
mon
ey D
avis
has
spe
nt
[Fai
r Gam
e] M
A.8
.A.1
.2 (
Mod
) A
!"#$!%&$'()))$("&*+$,-..&,/0122345673",33-8+8&-33"9:%9"+34;3<=>&&,
8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHH
HHHHH$"&8IJJA0K5D
NG
SSS
Prac
tice,
Geo
met
ry
B19
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
5 P
ract
ice
(con
tinue
d)
Rela
tions
hips
in T
rian
gles
1010
Tria
ngle
s F
EP
and
VSR
hav
e si
de le
ngth
s as
sh
own
belo
w.
12
1012
8
66
Whi
ch m
ust b
e tr
ue?
F.
m∠
SPV
> m∠
EF
PG
. m∠
EF
P >
m∠
SRV
H.
m∠
PF
E >
m∠
SVR
I. −−
EP
$ −−
RS
[G: L
esso
n 5-
6] M
A.9
12.G
.4.7
(M
od)
G
1111
Bas
ed o
n th
e fi
gure
bel
ow, w
hat i
s th
e ra
nge
of th
e po
ssib
le v
alue
s fo
r x?
60°
45
4541
54°
3x+
5
A.
-3
< x
< 1
5
B.
3 _
5 < x
< 1
2
C. -
5 _
3 < x
< 1
2
D.
12 <
x <
36
[G: L
esso
n 5-
6] M
A.9
12.G
.4.7
(M
od)
C
1212
Tria
ngle
s D
EF
and
PQ
R h
ave
side
leng
ths
as
show
n be
low
. The
mea
sure
of
angl
e D
is
grea
ter
than
the
mea
sure
of
angl
e P
.
10
14
10
14
W
hich
must b
e tr
ue?
F.
EF
> Q
R
G.
ED
+ P
R >
EF
H
. 2 ·
QR
> E
FI.
QR
> E
F
[G: L
esso
n 5-
6] M
A.9
12.G
.4.7
(M
od)
F
1313
Whi
ch o
f th
e fo
llow
ing
leng
ths
can
be u
sed
to f
orm
a tr
iang
le?
A.
3, 1
, 5B.
5, 4
, 10
C. 9
, 20,
17
D.
11, 2
, 6
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
H
!"#$!%&$'()))$("&*+$,-..&,/0122345673"-33-8+8&-33"9:%9"#34;3<=>&&,
8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHH
HHHHH$"&8IJJA0K5D
!&"$!+%$'()))$("&$%=L4$,-..&-/01"&345673"&33-8"&8&-33:9:,9&"3I;3<=>&&,!&"$!+%$'()))$("&$%=L4$,-..&-/01"&345673"&33-8"&8&-33:9:,9&"3I;3<=>&&,8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHHHHHHH$"&8IJJA0K5D///8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHHHHHHH$"&8IJJA0K5D
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B20-B21
B20
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
5 P
ract
ice
(con
tinue
d)
Rela
tions
hips
in T
rian
gles
1414
Bas
ed o
n th
e fi
gure
bel
ow, w
hich
mus
t be
true
abo
ut th
e va
lue
of x
?
8
9x
F.
x <
17
G.
x =
17
H.
x >
17
I. x
= √
____
145
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
F
1515
Whi
ch o
f th
e fo
llow
ing
is th
e ra
nge
for
the
mea
sure
of
the
thir
d si
de o
f th
e tr
iang
le
show
n be
low
?
175
x
A.
12 <
x <
22
B. 3
< x
< 7
C. x
> 1
2D
. x
< 2
2
[G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
F
1616
A tr
iang
le is
dra
wn
havi
ng th
e si
de-l
engt
h re
latio
nshi
ps s
how
n in
the
figu
re b
elow
.
10
x+
5
x
W
hat i
s th
e sm
alle
st p
ossi
ble
who
le n
umbe
r va
lue
for
x?
-3
[
G: L
esso
n 5-
5] M
A.9
12.G
.4.7
(M
od)
3
1717
Tria
ngle
s A
BC
and
DB
C s
hare
−−
CB
. If
−−
AC
and
−−
DC
are
con
grue
nt, w
hich
of
the
follo
win
g is
a tr
ue s
tate
men
t for
thes
e tr
iang
les?
F.
If m∠
ACB
> m∠
DC
B, t
hen
AB
> D
B.
G.
If m∠
BA
C =
m∠
BD
C, t
hen
∆A
BC
$ ∆
DB
C.
H.
If A
B >
DB
, the
n m∠
ACB
< m∠
DC
B.
I. If
m∠
AB
C =
m∠
DC
B, t
hen
∆A
BC
$ ∆
DB
C.
[G: L
esso
n 5-
6] M
A.9
12.G
.4.7
(M
od)
F
!"#$!%&$'()))$("&*+$,-..&,/0122345673%&33-8+8&-33"9:%9"-34;3<=>&&,
8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHH
HHHHH$"&8IJJA0K5D
NG
SSS
Prac
tice,
Geo
met
ry
B21
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
6 P
ract
ice
Qua
drila
tera
ls
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
Hen
dry
Cou
nty
is o
ne o
f th
e fiv
e co
untie
s th
at m
eet a
t a p
oint
nea
r th
e ce
nter
of
Lak
e O
keec
hobe
e. T
he m
ap b
elow
sho
ws
Hen
dry
Cou
nty.
All
side
s ar
e st
raig
ht s
egm
ents
.
La
Bel
leC
lew
isto
n
Har
lem S
outh
Cle
wis
ton
Sea
rsK
eri
Feld
a
Den
aud
Wha
t num
ber
of d
egre
es is
the
sum
of
the
inte
rior
ang
les
of th
e fi
gure
abo
ve?
-16
20
[G: L
esso
n 6-
1] M
A.9
12.G
.2.2
(M
od)
1,62
0
22
Whi
ch o
f th
e fo
llow
ing
best
iden
tifie
s a
rect
angl
e?
A.
a pa
ralle
logr
am w
hose
dia
gona
ls b
isec
t ea
ch o
ther
B. a
par
alle
logr
am w
hose
dia
gona
ls a
re
cong
ruen
tC.
a p
aral
lelo
gram
who
se d
iago
nals
are
pe
rpen
dicu
lar
bise
ctor
sD
. a
para
llelo
gram
with
two
pair
s of
co
ngru
ent s
ides
[G: L
esso
n 6-
5] M
A.9
12.G
.3.2
(M
od)
B
33
Whi
ch o
f th
e qu
adri
late
rals
bel
ow c
ould
be
divi
ded
into
two
righ
t tri
angl
es b
y on
e of
its
diag
onal
s?
F.
G.
H.
I.
[G: L
esso
n 6-
6] M
A.9
12.G
.3.2
(M
od)
I
!%"$!%:$'()))$("&*L$,-..&,/0122345673%"33-8+8&-33"9:%9.#34;3<=>&&,
8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHH
HHHHH$"&8IJJA0K5D
!&"$!+%$'()))$("&$%=M4$,-..&-/01""345673""33-8"&8&-33:9:,9&.3I;3<=>&&,!&"$!+%$'()))$("&$%=M4$,-..&-/01""345673""33-8"&8&-33:9:,9&.3I;3<=>&&,8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHHHHHHH$"&8IJJA0K5D///8?@A<B7>8"":8(C&&%,&8;5>D7E016$DF7$'()))$(E527$"&G&8HHHHHHHHHHHHH$"&8IJJA0K5D
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B22-B23 NGSSS Practice, Geometry
B22
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
6 P
ract
ice
(con
tinue
d)
Qua
drila
tera
ls
44
Whi
ch o
f th
e fo
llow
ing cann
ot b
e us
ed to
pr
ove
that
a p
aral
lelo
gram
is a
rec
tang
le?
A.
Show
that
all
four
ang
les
are
righ
t an
gles
.B.
Sho
w th
at th
e di
agon
als
are
cong
ruen
t.C.
Sho
w th
at th
e op
posi
te s
ides
are
co
ngru
ent a
nd p
aral
lel.
D.
Show
that
one
pai
r of
con
secu
tive
side
s is
per
pend
icul
ar.
[G: L
esso
n 6-
3] M
A.9
12.G
.3.4
(H
igh)
C
55
In th
e di
agra
m b
elow
, lin
es p
and
q a
re
para
llel.
Two
tran
sver
sals
inte
rsec
t at a
poi
nt
on li
ne q
to f
orm
a tr
iang
le.
p q
Whi
ch s
tate
men
t wou
ld not
be
usef
ul in
a
proo
f th
at th
e su
m o
f th
e an
gle
mea
sure
s in
a
tria
ngle
is 1
80°
usin
g th
is d
iagr
am?
F.
A s
trai
ght a
ngle
mea
sure
s 18
0°.
G.
The
mea
sure
of
an a
ngle
for
med
by
adja
cent
ang
les
is th
e su
m o
f th
e ad
jace
nt a
ngle
s’ m
easu
res.
H.
Ver
tical
ang
les
are
cong
ruen
t.I.
Alte
rnat
e in
teri
or a
ngle
s ar
e co
ngru
ent.
[Fai
r Gam
e] M
A.8
.G.2
.3 (
Mod
) H
66
Wha
t is
the m∠M
in q
uadr
ilate
ral LMNP
?
( 5n-
4)°
( 3n+
2)°
( n+
10)
°
( 2n)
° -98
[G: L
esso
n 6-
1] M
A.9
12.G
.2.2
(M
od)
98
77
Susi
e’s
teac
her
draw
s th
e qu
adri
late
ral
show
n be
low
on
the
boar
d.
Whi
ch o
f th
ese
obse
rvat
ions
can
not b
e us
ed
to p
rove
that
the
quad
rila
tera
l is
a pa
ralle
logr
am?
A.
The
opp
osite
sid
es a
re c
ongr
uent
.B.
Bot
h pa
irs
of o
ppos
ite a
ngle
s ar
e co
ngru
ent.
C. O
ne p
air
of o
ppos
ite s
ides
is c
ongr
uent
an
d pa
ralle
l. D
. T
he d
iago
nals
are
per
pend
icul
ar.
[G: L
esso
n 6-
3] M
A.9
12.G
.3.4
(H
igh)
D
!"#$!"%$&'((($'#)*+$,-..),/0122345673""33-898)-33#:%":%)34;3<=>)),
8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHH
HHHHH$#)8IJJA0K5D
NG
SSS
Prac
tice,
Geo
met
ry
B23
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
6 P
ract
ice
(con
tinue
d)
Qua
drila
tera
ls
88
Wha
t is
the
degr
ee m
easu
re o
f an
ext
erio
r an
gle
of th
e re
gula
r po
lygo
n sh
own
belo
w?
-36
[G: L
esso
n 6-
1] M
A.9
12.G
.2.2
(M
od)
36
99
Wha
t typ
e of
qua
drila
tera
l has
the
vert
ices
(0
, 6),
(3, 9
), (9
, 3),
(6, 0
)?
F.
para
llelo
gram
G.
squa
reH
. re
ctan
gle
I. tr
apez
oid
[G: L
esso
n 6-
3] M
A.9
12.G
.3.3
(H
igh)
H
1010
The
tabl
e be
low
sho
ws
the
slop
es o
f th
e tw
o di
agon
als
for
each
of
four
qua
drila
tera
ls.
D
iag
onal
1D
iag
onal
2
ABCD
3 1 _
3
FGHI
- 2 _
5
5 _
2
JKLM
- 7 _
8
4 _
3
PQRS
6 _
5 -
6 _
5
W
hich
qua
drila
tera
l cou
ld b
e a
squa
re?
A. ABCD
B. F
GHI
C. JKLM
D. PQRS
[G: L
esso
n 6-
5] M
A.9
12.G
.3.2
(M
od)
B
1111
Wha
t num
ber
of d
egre
es is
m∠R
in
para
llelo
gram
QRST
?
( 4x-
22)
°( 4
x+
4)°
-77
[G: L
esso
n 6-
1] M
A.9
12.G
.2.2
(M
od)
77
!"#$!"%$&'((($'#)*+$,-..),/0122345673".33-898)-33#:%":%"34;3<=>)),
8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHH
HHHHH$#)8IJJA0K5D
!)#$!9"$&'((($'#)$"=L4$,-..)-/01#"345673#"33-8#)8)-33%:%,:)%3I;3<=>)),!)#$!9"$&'((($'#)$"=L4$,-..)-/01#"345673#"33-8#)8)-33%:%,:)%3I;3<=>)),8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHHHHHHH$#)8IJJA0K5D///8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHHHHHHH$#)8IJJA0K5D
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B24-B25
B24
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
6 P
ract
ice
(con
tinue
d)
Qua
drila
tera
ls
1212
Wha
t is
the
valu
e of
x in
the
kite
bel
ow?
(3x+
6)°
-2
8
[G: L
esso
n 6-
6] M
A.9
12.G
.3.2
(H
igh)
28
1313
Dev
on a
nd J
amal
bot
h dr
aw r
egul
ar
poly
gons
. Dev
on’s
pol
ygon
has
14
side
s.
Jam
al’s
pol
ygon
has
15
side
s. W
hich
st
atem
ent i
s no
t tru
e?
F.
The
mea
sure
s of
all
the
exte
rior
ang
les
of D
evon
’s p
olyg
on a
re e
qual
.G
. T
he s
um o
f al
l the
ext
erio
r an
gles
of
Dev
on’s
pol
ygon
equ
als
the
sum
of
all
the
exte
rior
ang
les
of J
amal
’s p
olyg
on.
H.
The
mea
sure
of
one
of th
e ex
teri
or
angl
es o
f Ja
mal
’s p
olyg
on is
gre
ater
than
th
e m
easu
re o
f on
e of
the
exte
rior
ang
les
of D
evon
’s p
olyg
on.
I. T
he m
easu
re o
f on
e of
the
exte
rior
an
gles
of
Jam
al’s
pol
ygon
plu
s th
e m
easu
re o
f th
e ad
jace
nt in
teri
or a
ngle
is
180
°.
[G: L
esso
n 6-
1] M
A.9
12.G
.2.2
(M
od)
H
1414
Qua
drila
tera
l STU
V h
as tw
o ve
rtic
es, S
and
T,
plo
tted
in th
e co
ordi
nate
pla
ne b
elow
.
y
x
−8
−6
−4
−4
−8
48
42
68
−6
26
−1010
10−
10
Whi
ch p
air
of c
oord
inat
es f
or U
and
V w
ill
form
trap
ezoi
d ST
UV
?
A.
(0, 0
), (5
, 6)
B. (
0, 0
), (8
, 0)
C. (
5, 6
), (8
, 0)
D.
(–5,
0),
(0, 0
)
[G: L
esso
n 6-
6] M
A.9
12.G
.3.3
(H
igh)
B
1515
Sout
hern
Mem
oria
l Par
k in
Nor
th M
iam
i B
each
is b
ound
ed o
n th
e w
est b
y N
E 1
6th
Ave
., on
the
east
by
NE
18t
h A
ve.,
on th
e no
rth
by N
E 1
57th
Ter
race
, and
on
the
sout
h by
NE
151
st S
tree
t. A
ll ro
ads
are
stra
ight
an
d in
ters
ect i
n ri
ght a
ngle
s. D
iago
nals
ac
ross
the
park
are
con
grue
nt. W
hat t
ype
of
quad
rila
tera
l is
Sout
hern
Mem
oria
l Par
k?
F.
para
llelo
gram
G.
rect
angl
eH
. rh
ombu
sI.
trap
ezoi
d
[G: L
esso
n 6-
6] M
A.9
12.G
.3.2
(M
od)
G
!"#$!"%$&'((($'#)*+$,-..),/0122345673"%33-898)-33#:%":%934;3<=>)),
8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHH
HHHHH$#)8IJJA0K5D
NG
SSS
Prac
tice,
Geo
met
ry
B25
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
7 P
ract
ice
Prop
ortio
ns a
nd S
imila
rity
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
The
figu
re b
elow
sho
ws
two
tria
ngle
s:
!E
AB
and
!E
CD
.
Wha
t inf
orm
atio
n is
nee
ded
to p
rove
that
!
EA
B a
nd !
EC
D a
re s
imila
r?
A. −−
CD
is p
erpe
ndic
ular
to −−
EA
.
B.
CD
_
AB
= E
C
_
CA
= E
D
_
DB
C. m
∠E
CD
= m∠
EA
B
D.
No
addi
tiona
l inf
orm
atio
n is
nee
ded.
[G: L
esso
n 7-
5] M
A.9
12.G
.4.6
(H
igh)
C
22
The
Eve
rgla
des
area
of
sout
hern
Flo
rida
is
esse
ntia
lly a
vas
t slo
w-m
ovin
g riv
er 1
00
kilo
met
ers
wid
e an
d 16
0 ki
lom
eter
s lo
ng.
The
wat
er f
low
s at
abo
ut 0
.8 k
ilom
eter
per
da
y. I
f a
map
of
the
area
sho
ws
the
wid
th a
s 5
inch
es, h
ow m
any
inch
es lo
ng is
the
area
on
the
map
?
-8
[G: L
esso
n 7-
7] M
A.9
12.A
.1.5
(M
od)
8
33
The
Fou
r Se
ason
s H
otel
is th
e ta
llest
bui
ldin
g in
Mia
mi a
t a h
eigh
t of
240
met
ers.
Upo
n its
co
mpl
etio
n, O
ne B
ayfr
ont P
laza
will
bec
ome
the
talle
st a
t a h
eigh
t of
320
met
ers.
An
arch
itect
bui
lds
a sc
ale
mod
el to
sho
w th
e co
mpa
riso
n of
the
two
build
ings
. If
he b
uild
s hi
s m
odel
of
the
Four
Sea
sons
Hot
el to
a
heig
ht o
f 48
cen
timet
ers,
how
tall
is h
is
mod
el o
f O
ne B
ayfr
ont P
laza
?
-6
4
[G: L
esso
n 7-
7] M
A.9
12.G
.2.3
(H
igh)
64
44
The
sid
es o
f tw
o si
mila
r tr
iang
les
are
in a
ra
tio o
f 4:
6. I
f th
e pe
rim
eter
of
the
smal
ler
tria
ngle
is 3
0 ce
ntim
eter
s, w
hat i
s th
e pe
rim
eter
of
the
larg
er tr
iang
le?
F.
20 c
mG
. 45
cm
H.
67.5
cm
I. 13
5 cm
[G: L
esso
n 7-
3] M
A.9
12.G
.4.4
(M
od)
G
!"9$!",$&'((($'#)*L$,-..),/0122345673"933-898)-33#:%.:)L34;3<=>)),
8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHH
HHHHH$#)8IJJA0K5D
!)#$!9"$&'((($'#)$"=M4$,-..)-/01#.345673#.33-8#)8)-33%:%,:)+3I;3<=>)),!)#$!9"$&'((($'#)$"=M4$,-..)-/01#.345673#.33-8#)8)-33%:%,:)+3I;3<=>)),8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHHHHHHH$#)8IJJA0K5D///8?@A<B7>8##%8'C))",)8;5>D7E016$DF7$&'((($'E527$#)G)8HHHHHHHHHHHHH$#)8IJJA0K5D
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B26-B27 NGSSS Practice, Geometry
B26
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
7 P
ract
ice
(continued)
Prop
ortio
ns a
nd S
imila
rity
55
Qua
drila
tera
l AB
CD
is d
raw
n in
a c
oord
inat
e pl
ane
so th
at th
e pr
oduc
t of
the
slop
es o
f an
y tw
o ad
jace
nt s
ides
of
the
quad
rila
tera
l is
–1.
Is q
uadr
ilate
ral A
BC
D s
imila
r to
squ
are
WX
YZ?
A.
yes
B. n
oC.
onl
y if
AB
_
WX
= C
D
_
YZ
D.
only
if (
AB
)(X
Y) =
(B
C)(
WX
)
[G: L
esso
n 7-
6] M
A.9
12.G
.2.6
(H
igh)
D
66
Wha
t is
the
leng
th o
f th
e th
ird
side
of
the
larg
er tr
iang
le?
1212
15
2424
-30
[G: L
esso
n 7-
5] M
A.9
12.G
.4.4
(M
od)
30
77
The
Ber
mud
a Tr
iang
le is
a r
egio
n of
the
Atla
ntic
Oce
an o
ff o
f th
e ea
st c
oast
of
Flor
ida.
The
tria
ngle
is o
ften
def
ined
as
havi
ng v
ertic
es a
t Mia
mi,
Flor
ida;
San
Jua
n,
Puer
to R
ico;
and
Ber
mud
a, B
erm
uda.
BE
RM
UD
A
PU
ER
TO
RIC
OH
AIT
IJA
MA
ICA
San
Ju
an
CU
BA
BA
HA
MA
S
US
A
Mia
mi
Mia
mi h
as la
titud
e an
d lo
ngitu
de
(26°
N, 8
0° W
). Sa
n Ju
an h
as la
titud
e an
d lo
ngitu
de (
18°
N, 6
6° W
). A
bout
wha
t is
the
stra
ight
-lin
e di
stan
ce b
etw
een
Mia
mi a
nd
San
Juan
if a
1°
diff
eren
ce is
70
mile
s?
F.
8
00 m
i H
. 1,5
40 m
iG
. 1,
130
mi
I. 1,
710
mi
[Fai
r Gam
e] M
A.8
.G.2
.4 (
Mod
) G
88
Tria
ngle
AB
C w
ith v
ertic
es A
(0, 0
), B
(0, 4
), an
d C
(3, 0
) is
dila
ted
to f
orm
tria
ngle
AD
E.
y
x
Wha
t is
the
leng
th o
f −−
DE
if D
has
co
ordi
nate
s (0
, 5)?
A.
4.5
C. 6
B. 5
D
. 7.
5
[G: L
esso
n 7-
6] M
A.9
12.G
.4.8
(H
igh)
D
!"#$!"%$&'((($')*+,$%-..*%/0122345673"833-9#9*-33):;.:)*34<3=>?**%
9@AB=C7?9));9'D**"%*9<5?E7F016$EG7$&'((($'F527$)*H*9IIIIIIII
IIIII$)*9JKKB0L5E
NG
SSS
Prac
tice,
Geo
met
ry
B27
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
7 P
ract
ice
(continued)
Prop
ortio
ns a
nd S
imila
rity
99
Two
righ
t tri
angl
es a
re s
imila
r. T
he a
rea
of
the
firs
t rig
ht tr
iang
le is
x2 s
quar
e un
its, a
nd
the
area
of
the
seco
nd r
ight
tria
ngle
is 4
x2 sq
uare
uni
ts. I
f th
e hy
pote
nuse
of
the
firs
t tr
iang
le h
as a
leng
th o
f 14
uni
ts, t
hen
how
m
any
units
long
is th
e hy
pote
nuse
of
the
seco
nd tr
iang
le?
-28
[G: L
esso
n 7-
5] M
A.9
12.G
.4.4
(M
od)
28
1010
A p
olyg
on h
as v
ertic
es A
(1, 2
), B
(2, 0
), C
(1, –
2), D
(–1,
–2)
, E(–
2, 0
), an
d F
(–1,
2).
Is A
BC
DE
F s
imila
r to
a r
egul
ar h
exag
on
with
sid
es o
f le
ngth
4?
F. y
es, b
ecau
se a
ll re
gula
r he
xago
ns
are
sim
ilar
G. y
es, b
ecau
se b
oth
hexa
gons
hav
e co
rres
pond
ing
side
sH
. no,
bec
ause
AB
CD
EF
doe
s no
t hav
e si
des
of le
ngth
4I.
no, b
ecau
se A
BC
DE
F d
oes
not h
ave
six
equa
l-le
ngth
sid
es
[G: L
esso
n 7-
6] M
A.9
12.G
.2.6
(H
igh)
I
1111
In th
e fi
gure
bel
ow, l
ines
a, b
, and
c a
re
para
llel.
Wha
t is
x?
x+
11
ba c
12
15x
-9
[G: L
esso
n 7-
4] M
A.9
12.G
.4.5
(M
od)
9
1212
A c
onst
ruct
ion
wor
ker
atta
ches
a 9
7-fo
ot-
long
tens
ion
wir
e to
a c
ross
pos
t 72
feet
up
a ce
ll-ph
one
tow
er. A
t a c
erta
in ti
me
of d
ay,
the
shad
ow o
f th
e cr
oss
post
rea
ches
to th
e po
int w
here
the
tens
ion
wir
e to
uche
s th
e gr
ound
.
97 ft
72 ft
If
the
cons
truc
tion
wor
ker
stan
ds 6
fee
t tal
l, ho
w lo
ng is
his
sha
dow
in f
eet a
nd in
ches
at
that
tim
e of
day
?
A.
5 ft
3 in
. C.
6 f
tB.
5 f
t 5 in
. D
. 8
ft 1
in.
[G: L
esso
n 7-
5] M
A.9
12.G
.2.3
(H
igh)
B
!"#$!"%$&'((($')*+,$%-..*%/0122345673",33-9#9*-33):;.:).34<3=>?**%
9@AB=C7?9));9'D**"%*9<5?E7F016$EG7$&'((($'F527$)*H*9IIIIIIII
IIIII$)*9JKKB0L5E
!*)$!#"$&'((($')*$">M4$%-..*-/01);345673);33-9)*9*-33;:;%:*%3J<3=>?**%!*)$!#"$&'((($')*$">M4$%-..*-/01);345673);33-9)*9*-33;:;%:*%3J<3=>?**%9@AB=C7?9));9'D**"%*9<5?E7F016$EG7$&'((($'F527$)*H*9IIIIIIIIIIIII$)*9JKKB0L5E///9@AB=C7?9));9'D**"%*9<5?E7F016$EG7$&'((($'F527$)*H*9IIIIIIIIIIIII$)*9JKKB0L5E
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B28-B29
B28
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
7 P
ract
ice
(continued)
Prop
ortio
ns a
nd S
imila
rity
1313
In th
e fi
gure
bel
ow, l
ines
ℓ, m
, and
n a
re
para
llel.
Wha
t is
the
valu
e of
x?
1.5 2.0
1.8 x
!m
n
F.
1.7
H.
2.7
G.
2.4
I. 3.
6
[G: L
esso
n 7-
4] M
A.9
12.G
.4.5
(M
od)
G
1414
Gin
a m
ade
a sc
ale
draw
ing
of h
er b
edro
om
for
a sc
hool
pro
ject
. She
use
d a
scal
e of
1
inch
to 2
5 in
ches
for
her
dra
win
g. I
f th
e ar
ea o
f he
r ro
om o
n th
e sc
ale
draw
ing
is
51.8
4 sq
uare
inch
es, w
hat i
s th
e ac
tual
are
a of
her
roo
m in
squ
are
feet
?
-2
25
[G: L
esso
n 7-
7] M
A.9
12.A
.1.5
(M
od)
225
1515
Wha
t is
the
mea
sure
of
x in
the
figu
re
belo
w?
4 5.8
6
x
-6
.3
[G: L
esso
n 7-
5] M
A.9
12.G
.4.4
(M
od)
6.3
1616
Tria
ngle
s A
BC
and
DE
F h
ave
side
leng
ths
and
angl
es a
s sh
own
belo
w.
15
6
9
10
54°
72°
Whi
ch a
dditi
onal
pie
ce o
f in
form
atio
n is
ne
eded
to p
rove
!A
BC
∼ !
DE
F?
A.
m∠
A =
54°
B. B
oth
tria
ngle
s ar
e is
osce
les.
C.
BC
_
EF
= 0
.6
D.
EF
= 6
[G: L
esso
n 7-
5] M
A.9
12.G
.4.6
(H
igh)
A
!"#$!"%$&'((($')*+,$%-..*%/0122345673"%33-8#8*-33)9:.9)#34;3<=>**%
8?@A<B7>8)):8'C**"%*8;5>D7E016$DF7$&'((($'E527$)*G*8HHHHHHHH
HHHHH$)*8IJJA0K5D
NG
SSS
Prac
tice,
Geo
met
ry
B29
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
8 P
ract
ice
Righ
t Tri
angl
es a
nd T
rigo
nom
etry
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
In r
ight
tria
ngle
JK
L, −−
KM
is a
n al
titud
e.
W
hich
sta
tem
ent i
s tr
ue?
A.
JK
_
JL =
MK
_
ML
B.
JK
_
JL =
KM
_
JK
C.
JK
_
KM
= JL
_
M
L
D.
JK
_
KM
= K
L _
M
L
[G: L
esso
n 8-
1] M
A.9
12.G
.4.5
(M
od)
D
22
The
tabl
e be
low
sho
ws
the
leng
th o
f on
e le
g of
a r
ight
tria
ngle
and
the
area
of
the
righ
t tri
angl
e.
!Le
ngth
of
Leg
Are
a
ABC
3
9 _
2
DEF
22
√__
3
_
3
GHI
515
JKL
1 √__
3
W
hich
is a
30°
-60°
-90°
tria
ngle
?
F. !
AB
CG
. !
DE
FH
. !
GH
II.
!JK
L
[G: L
esso
n 8-
3] M
A.9
12.G
.5.3
(M
od)
G
33
The
figu
re b
elow
sho
ws
how
are
as o
f sq
uare
s an
d tr
iang
les
can
be u
sed
to p
rove
th
e Py
thag
orea
n T
heor
em.
c
c
c
cb
b
b
b
a
a
a
a
W
hich
is a
true
sta
tem
ent t
hat w
ould
be
used
in
the
proo
f of
the
Pyth
agor
ean
The
orem
?
A.
The
are
a of
the
larg
er s
quar
e is
a2 +
b2 .
B. T
he a
rea
of th
e sm
alle
r sq
uare
is
(a +
b)2 .
C. T
he to
tal a
rea
of th
e fo
ur r
ight
tria
ngle
s is
2ab
.D
. T
he to
tal a
rea
of th
e fo
ur r
ight
tria
ngle
s is
1 _
2 ab.
[G: L
esso
n 8-
2] M
A.9
12.G
.5.1
(H
igh)
C
44
In r
ight
tria
ngle
CD
E, −−
EF
is a
n al
titud
e,
EF
= 1
2, a
nd F
D =
16.
Wha
t is
the
valu
e of
CF
?
12
16
F.
9G
. 13
.9H
. 16
I. 21
.3
[G: L
esso
n 8-
1] M
A.9
12.G
.5.2
(M
od)
F
!"-$!."$&'((($')*+%$%-..*%/0122345673"-33-8#8*-33)9:.9..34;3<=>**%
8?@A<B7>8)):8'C**"%*8;5>D7E016$DF7$&'((($'E527$)*G*8HHHHHHHH
HHHHH$)*8IJJA0K5D
!*)$!#"$&'((($')*$"=L4$%-..*-/01)#345673)#33-8)*8*-33:9:%9)*3I;3<=>**%!*)$!#"$&'((($')*$"=L4$%-..*-/01)#345673)#33-8)*8*-33:9:%9)*3I;3<=>**%8?@A<B7>8)):8'C**"%*8;5>D7E016$DF7$&'((($'E527$)*G*8HHHHHHHHHHHHH$)*8IJJA0K5D///8?@A<B7>8)):8'C**"%*8;5>D7E016$DF7$&'((($'E527$)*G*8HHHHHHHHHHHHH$)*8IJJA0K5D
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B30-B31 NGSSS Practice, Geometry
B30
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
8 P
ract
ice
(continued)
Righ
t Tri
angl
es a
nd T
rigo
nom
etry
55
In r
ight
tria
ngle
XYZ
, sin
X =
16
_
34 .
Whi
ch is
the
ratio
for
tan X
?
A.
34 _
16
B.
34 _
30
C.
16 _
30
D.
30 _
16
[G: L
esso
n 8-
4] M
A.9
12.T
.2.1
(M
od)
C
66
In r
ight
tria
ngle
ABC
, −−
AD
is a
n al
titud
e of
th
e tr
iang
le th
at c
uts
the
hypo
tenu
se in
to tw
o se
gmen
ts w
ith le
ngth
s as
sho
wn.
53.
2
W
hat i
s th
e he
ight
of
tria
ngle
ABC
?
-4
[G: L
esso
n 8-
1] M
A.9
12.G
.4.4
(M
od)
4
77
The
Cap
e St
. Geo
rge
light
hous
e is
on
the
panh
andl
e G
ulf
Coa
st o
f Fl
orid
a. T
he
light
hous
e, w
hich
was
reb
uilt
in 2
008,
sta
nds
74 f
eet t
all.
74 ft
d
12
To
the
near
est f
oot,
wha
t is
the
dist
ance
, d,
from
the
top
of th
e lig
htho
use
to th
e bo
at if
si
n 12
° =
0.2
1 an
d co
s 12
° =
0.9
8?
-3
52
[G: L
esso
n 8-
5] M
A.9
12.T
.2.2
(H
igh)
35
2
88
Whi
ch is
the
valu
e of
x in
the
righ
t tr
iang
le b
elow
?
x
45˚
16
F.
4G
. 8
H.
8 √__
2 I.
16 √__
2
[G: L
esso
n 8-
3] M
A.9
12.G
.5.3
(M
od)
H
!"#$!%"$&'((($')*+,$,#%%*,-./00123451%*11#676*#11)89%8%:12;1<=>**,
6?@A<B5>6))96'C**",*6;3>D5E./4$DF5$&'((($'E305$)*G*6HHHHHHHH
HHHHH$)*6IJJA.K3D
NG
SSS
Prac
tice,
Geo
met
ry
B31
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
8 P
ract
ice
(continued)
Righ
t Tri
angl
es a
nd T
rigo
nom
etry
99
Bef
ore
the
Cap
e St
. Geo
rge
light
hous
e co
llaps
ed in
Oct
ober
200
5, it
list
ed 7
° of
f ver
tical
.
74 ft
7
W
hat w
as th
e ve
rtic
al d
iffe
renc
e, in
fee
t, be
twee
n its
hei
ght w
hen
built
and
its
heig
ht a
s it
lean
ed f
orw
ard?
(si
n 7°
= 0
.12,
co
s 7°
= 0
.99,
tan
7° =
0.1
2)
-0
.74
[G: L
esso
n 8-
5] M
A.9
12.T
.2.2
(H
igh)
0.
74
1010
In r
ight
tria
ngle
LMN
, m∠L
= 4
9°,
m∠N
= 9
0°, a
nd MN
= 1
2. W
hat i
s th
e le
ngth
of
−−
LN to
the
near
est t
enth
if
sin
49°
= 0
.75,
cos
49°
= 0
.66,
and
ta
n 49
° =
1.1
5?
A.
7.9
B.
9.1
C. 1
0.4
D.
13.8
[G: L
esso
n 8-
4] M
A.9
12.T
.2.1
(M
od)
C
1111
Joey
pla
ns to
buy
uni
form
s fo
r hi
s so
ftba
ll te
am. C
ompa
ny A
cha
rges
$25
per
uni
form
. C
ompa
ny B
cha
rges
a o
ne-t
ime
$75
set-
up
fee
and
then
$20
per
uni
form
. Whi
ch g
raph
be
low
mod
els
the
two
com
pani
es’
pric
es?
F.
y
x
$100
$200
510
1520
$300
$400
$500
Com
pany
A Com
pany
B
Num
ber o
f Uni
form
s
G.
y
x
$100
$200
510
1520
$300
$400
$500
Com
pany
B Com
pany
A
Num
ber o
f Uni
form
s
H.
y
x
$100
$200
510
1520
$300
$400
$500
Com
pany
B
Com
pany
A
Num
ber o
f Uni
form
s
I.
y
x
$100
$200
510
1520
$300
$400
$500
Com
pany
A
Com
pany
B
Num
ber o
f Uni
form
s
[Fai
r Gam
e] M
A.8
.A.1
.3 (
Hig
h)
H
!"#$!%"$&'((($')*+,$,#%%*,-./00123451%)11#676*#11)89%8%,12;1<=>**,
6?@A<B5>6))96'C**",*6;3>D5E./4$DF5$&'((($'E305$)*G*6HHHHHHHH
HHHHH$)*6IJJA.K3D
!*)$!7"$&'((($')*$"=L2$,#%%*#-./):123451):11#6)*6*#11989,8)"1I;1<=>**,!*)$!7"$&'((($')*$"=L2$,#%%*#-./):123451):11#6)*6*#11989,8)"1I;1<=>**,6?@A<B5>6))96'C**",*6;3>D5E./4$DF5$&'((($'E305$)*G*6HHHHHHHHHHHHH$)*6IJJA.K3D---6?@A<B5>6))96'C**",*6;3>D5E./4$DF5$&'((($'E305$)*G*6HHHHHHHHHHHHH$)*6IJJA.K3D
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B32-B33
B32
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
8 P
ract
ice
(continued)
Righ
t Tri
angl
es a
nd T
rigo
nom
etry
1212
The
figu
re b
elow
sho
ws
a 45
°-45
°-90
° an
d a
30°-
60°-
90°
tria
ngle
that
sha
re −−
QS .
30°
45°
W
hich
is n
ot tr
ue?
A.
QP
> Q
S +
SR
B. S
P >
QR
C. Q
R +
SR
> Q
PD
. (P
S)2 =
(Q
R)2 +
(SR
)2
[G: L
esso
n 8-
3] M
A.9
12.G
.5.3
(M
od)
A
1313
A c
ity w
ishe
s to
bui
ld a
sid
ewal
k di
agon
ally
ac
ross
a r
ecta
ngul
ar-s
hape
d pa
rk. T
he p
ark
mea
sure
s 14
0 fe
et b
y 22
5 fe
et. H
ow m
any
dolla
rs w
ill it
cos
t the
city
to c
onst
ruct
the
side
wal
k if
a lo
w b
id o
f $3
0 pe
r fo
ot is
ac
cept
ed?
-795
0
[G: L
esso
n 7-
2] M
A.9
12.G
.5.4
(H
igh)
7,
950
1414
In r
ight
tria
ngle
GH
I, −−
HJ
is a
n al
titud
e w
ith
leng
th 6
. Whi
ch c
hoic
e sh
ows
poss
ible
le
ngth
s fo
r −−
GJ
and
−−
JI ? 6
F.
3 an
d 12
G.
4 an
d 8
H.
6 an
d 12
I. 3
and
9
[G: L
esso
n 8-
1] M
A.9
12.G
.4.5
(M
od)
F
1515
The
figu
re b
elow
sho
ws
trap
ezoi
d F
GH
I di
vide
d in
to th
ree
righ
t tri
angl
es w
ith s
ide
leng
ths
as m
arke
d. T
his
figu
re is
use
d in
the
proo
f of
the
Pyth
agor
ean
The
orem
dev
elop
ed
by P
resi
dent
Jam
es A
. Gar
fiel
d, th
e on
ly
U.S
. Pre
side
nt k
now
n to
hav
e pu
blis
hed
a ge
omet
ric
proo
f.
ab
ba
cc
W
hich
of
the
follo
win
g is
not
a tr
ue
stat
emen
t abo
ut th
e fi
gure
?
A.
The
are
a of
"F
GJ
is h
alf
the
area
of
trap
ezoi
d F
GH
I.B.
The
are
a of
trap
ezoi
d F
GH
I is
1 _
2 (a
+ b
)2 .
C. T
he a
rea
of "
FG
J is
1 _
2 c2 .
D.
The
tota
l are
a of
"F
JI a
nd "
GJH
is a
b.
[G: L
esso
n 8-
2] M
A.9
12.G
.5.1
(H
igh)
A
!"#$!%"$&'((($')*+,$,#%%*,-./00123451%"11#676*#11)89%89"12:1;<=**,
6>?@;A5=6))96'B**",*6:3=C5D./4$CE5$&'((($'D305$)*F*6GGGGGGGG
GGGGG$)*[email protected]
NG
SSS
Prac
tice,
Geo
met
ry
B33
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
9 P
ract
ice
Tran
sfor
mat
ions
and
Sym
met
ry
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
A r
egul
ar h
exag
on li
es in
the
coor
dina
te
plan
e w
ith p
oint
A a
t (3,
0).
y
x
Wha
t are
the
coor
dina
tes
of v
erte
x A
aft
er a
re
flec
tion
acro
ss th
e y-
axis
and
a tr
ansl
atio
n up
2 u
nits
?
A.
(–3,
0)
B. (
–3, 2
)
C. ( –
3.5,
√ $ 3
_
2 )
D.
(–3.
5, 3
)
[G: L
esso
n 9-
4] M
A.9
12.G
.2.6
(H
igh)
B
22
The
ver
tices
of "
LMN
are
L(5
, 6),
M(2
, 0),
and
N(–
8, 8
). If
the
figu
re is
tran
slat
ed a
nd
the
imag
e ha
s ve
rtic
es in
ran
dom
ord
er a
t (–
2, 0
), (1
, 6),
and
(–12
, 8),
then
whi
ch r
ule
desc
ribe
s th
e tr
ansl
atio
n?
F.
(x, y
) →
(x,
y -
4)
G.
(x, y
) →
(x
- 4
, y)
H.
(x, y
) →
(x,
y +
4)
I. (x
, y) →
(x
+ 4
, y)
[G: L
esso
n 9-
2] M
A.9
12.G
.2.6
(H
igh)
G
33
Tria
ngle
PQ
R h
as v
ertic
es P
(-6,
0),
Q(-
6, 5
), an
d R
(-2,
3) a
s sh
own
belo
w.
y
x( -
6, 0
)
( -6,
5)
( -2,
3)
W
hat i
s th
e im
age
of p
oint
R a
fter
a 2
70°
rota
tion
coun
terc
lock
wis
e ab
out t
he o
rigi
n?
A.
(-2,
-3)
B. (
-3,
-2)
C. (
3, 2
)D
. (3
, 5)
[G: L
esso
n 9-
3] M
A.9
12.G
.2.6
(H
igh)
C
44
Squa
re J
KLM
has
ver
tices
J(1
, 0),
K(2
, 1),
L(3,
0),
and
M(2
, –1)
. If
the
figu
re is
dila
ted
with
a c
ente
r at
the
orig
in a
nd w
ith a
sca
le
fact
or o
f √__
2 , th
en w
hat i
s th
e le
ngth
of
each
si
de o
f th
e di
late
d sq
uare
?
F.
1 un
itG
. √__
2 un
itsH
. 2
units
I. 4
units
[G: L
esso
n 9-
6] M
A.9
12.G
.2.6
(H
igh)
H
!%%$!%K$&'((($')*+#$,#%%*,-./00123451%%11#676*#11)8998),12:1;<=**,
6>?@;A5=6))96'B**",*6:3=C5D./4$CE5$&'((($'D305$)*F*6GGGGGGGG
GGGGG$)*[email protected]
!*)$!7"$&'((($')*$"<L2$,#%%*#-./)M123451)M11#6)*6*#11989,8)91H:1;<=**,!*)$!7"$&'((($')*$"<L2$,#%%*#-./)M123451)M11#6)*6*#11989,8)91H:1;<=**,6>?@;A5=6))96'B**",*6:3=C5D./4$CE5$&'((($'D305$)*F*6GGGGGGGGGGGGG$)*[email protected]>?@;A5=6))96'B**",*6:3=C5D./4$CE5$&'((($'D305$)*F*6GGGGGGGGGGGGG$)*[email protected]
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B34-B35 NGSSS Practice, Geometry
B34
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
9 P
ract
ice
(con
tinue
d)
Tran
sfor
mat
ions
and
Sym
met
ry
55
Tria
ngle
DE
F h
as v
ertic
es D
(–1,
–3)
, E
(3, 1
), an
d F
(3, –
3). W
hich
sho
ws
a re
flec
tion
of th
e tr
iang
le o
ver
the
line
y =
x?
A.
2−
2−
3−
41
34
2
−2
−3
−434 1
y
Ox
B.
2−
2−
3−
41
34
2
−2
−3
−434 1
y
Ox
C.
2−
2−
3−
41
34
2
−2
−3
−434 1
y
Ox
D.
2−
2−
3−
41
34
2 1
−2
−3
−434
y
Ox
[G: L
esso
n 9-
1] M
A.9
12.G
.2.6
(H
igh)
C
66
Tria
ngle
KLM
has
ver
tices
K(–
1, 3
), L(
3, 3
), an
d M
(2, –
4). W
hich
of
thes
e gr
aphs
re
pres
ents
the
resu
lting
imag
e af
ter ∆
KLM
is
rot
ated
180
° cou
nter
cloc
kwis
e ab
out t
he
orig
in?
F.
y
x
( 1,-
3)( -
3,-
3)
( -2,
4)
G.
y
x
'(2,-
4)
'(-
1, 3
)'(
3, 3
)
H.
y
x
'(4,
2)
'(-
3,-
1)
'(-
3, 3
)
I. y
x
'(-
4,-
2)
'(3,
1)
'(3,-
3)
[G: L
esso
n 9-
3] M
A.9
12.G
.2.6
(H
igh)
F
!""#!"$#%&'''#&()*+#,+""),-./00123451"611+787)+11(9669:(12;1<=>)),
7?@A<B5>7((67&C)):,)7;3>D5E./4#DF5#%&'''#&E305#()G)7HHHHHHHH
HHHHH#()7IJJA.K3D
NG
SSS
Prac
tice,
Geo
met
ry
B35
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
9 P
ract
ice
(con
tinue
d)
Tran
sfor
mat
ions
and
Sym
met
ry
77
Loo
k at
the
tran
sfor
mat
ion
belo
w.
y
x
''
''
W
hat i
s th
e m
easu
re o
f th
e an
gle
of
rota
tion
of W
XYZ
abo
ut th
e or
igin
in a
co
unte
rclo
ckw
ise
dire
ctio
n?
A.
360°
B. 2
70°
C. 1
80°
D.
90°
[G: L
esso
n 9-
3] M
A.9
12.G
.2.6
(H
igh)
D
88
Tria
ngle
JK
L is
dila
ted
by s
cale
fac
tor
1.5,
re
flec
ted
acro
ss th
e y-
axis
, and
tran
slat
ed
2 un
its le
ft. W
hat w
ill b
e th
e ne
w
coor
dina
tes
of v
erte
x J
afte
r th
e th
ree
tran
sfor
mat
ions
?
x2
13
4
2
−2
−2
−3
−4
−3
−44 3 1
y
O
F.
J'(-
3, 3
)G
. J'
(-1,
3)
H.
J'(3
, 1)
I. J'
(1, 3
)
[G: L
esso
n 9-
4] M
A.9
12.G
.2.6
(H
igh)
I
99
Mag
gie
and
Joe
both
hav
e a
savi
ngs
plan
th
at th
ey p
ay in
to a
t fix
ed in
terv
als.
Mag
gie’
s m
oney
goe
s to
buy
bon
ds w
ith a
fixe
d-pe
rcen
t int
eres
t rat
e. J
oe’s
mon
ey g
oes
into
an
acc
ount
that
ear
ns n
o in
tere
st b
ut h
e ca
n w
ithdr
aw m
oney
at a
ny ti
me.
Whi
ch g
raph
be
st m
odel
s Jo
e’s
savi
ngs
prog
ram
?
A.
x
y
Money
Time
B.
x
y
Money
Time
C.
x
y
Money
Time
D.
x
y
Money
Time
[Fai
r Gam
e] M
A.8
.A.1
.6 (
Mod
) B
!""#!"$#%&'''#&()*+#,+""),-./00123451"811+787)+11(9669:$12;1<=>)),
7?@A<B5>7((67&C)):,)7;3>D5E./4#DF5#%&'''#&E305#()G)7HHHHHHHH
HHHHH#()7IJJA.K3D
!)(#!8:#%&'''#&()#:=L2#,+"")+-./(,123451(,11+7()7)+11696,9(81I;1<=>)),!)(#!8:#%&'''#&()#:=L2#,+"")+-./(,123451(,11+7()7)+11696,9(81I;1<=>)),7?@A<B5>7((67&C)):,)7;3>D5E./4#DF5#%&'''#&E305#()G)7HHHHHHHHHHHHH#()7IJJA.K3D---7?@A<B5>7((67&C)):,)7;3>D5E./4#DF5#%&'''#&E305#()G)7HHHHHHHHHHHHH#()7IJJA.K3D
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B36-B37
B36
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
9 P
ract
ice
(con
tinue
d)
Tran
sfor
mat
ions
and
Sym
met
ry
1010
Trap
ezoi
d ABCD
has
ver
tices
as
show
n in
th
e co
ordi
nate
pla
ne b
elow
.
x2
13
4
2
−2
−2
−3
−4
−3
−44 3 1
y
O'
'''
ABCD
is tr
ansf
orm
ed to
cre
ate
a co
ngru
ent
imag
e. W
hat t
rans
form
atio
ns o
ccur
red
to
crea
te A’B’C’D’?
F.
2 re
flec
tions
and
a tr
ansl
atio
nG
. 2
refl
ectio
ns a
nd a
rot
atio
nH
. ro
tatio
n, r
efle
ctio
n, a
nd a
tran
slat
ion
I. a
rota
tion
and
a re
flec
tion
[G: L
esso
n 9-
4] M
A.9
12.G
.2.6
(H
igh)
H
1111
Rig
ht tr
iang
le GHI
has
vert
ices
G(0
, 0),
H(3
, 0),
and I(
0, 4
). T
he tr
iang
le is
tr
ansf
orm
ed s
o th
at H' h
as c
oord
inat
es (
3, 2
). W
hich
cou
ld b
e th
e tr
ansf
orm
atio
n ap
plie
d to
!GHI?
A.
rota
tion
arou
nd th
e or
igin
B. t
rans
latio
nC.
ref
lect
ion
acro
ss a
ver
tical
line
D.
none
of
the
abov
e
[G: L
esso
n 9-
4] M
A.9
12.G
.2.6
(H
igh)
B
1212
Isos
cele
s tr
apez
oid LM
NO
has
ver
tices
L(
–4, –
3), M
(–4,
0), N
(–2,
1),
and
O(–
2, –
4). I
f th
e fi
gure
is d
ilate
d w
ith th
e ce
nter
at t
he o
rigi
n an
d w
ith a
sca
le f
acto
r of
1.
5, w
hat i
s th
e le
ngth
of
−−−
L' M
' of
the
dila
ted
isos
cele
s tr
apez
oid?
-4
5.
[G: L
esso
n 9-
6] M
A.9
12.G
.2.6
(H
igh)
4.
5
1313
A tr
iang
le h
as v
ertic
es a
t (1,
0),
(1, –
1), a
nd
(–1,
–1)
. A r
efle
ctio
n in
wha
t lin
e w
ould
pl
ace
the
vert
ices
at (
0, 1
), (–
1, 1
) an
d (–
1, –
1)?
F. y
= –
1G
. y
= x
H.
the x-
axis
I. th
e y-
axis
[G: L
esso
n 9-
1] M
A.9
12.G
.2.6
(H
igh)
G
!""#!"$#%&'''#&()*+#,+""),-./00123451"$11+676)+11(8998")12:1;<=)),
6>?@;A5=6((96&B))C,)6:3=D5E./4#DF5#%&'''#&E305#()G)6HHHHHHHH
HHHHH#()[email protected]
NG
SSS
Prac
tice,
Geo
met
ry
B37
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
10
Prac
tice
Cir
cles
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
−−
LP a
nd −−
LQ a
re s
ecan
ts o
f th
e ci
rcle
bel
ow.
If
LM
= 6
, MP
= 1
0, a
nd LO
= 8
, the
n w
hat i
s th
e le
ngth
of
−−
LQ ?
-12
[G: L
esso
n 10
-7] M
A.9
12.G
.4.5
(M
od)
12
22
Whi
ch s
how
s 0.
0000
0305
in s
cien
tific
no
tatio
n?
A.
3.05
× 1
0–5
B. 3
.05 ×
10–6
C. 3
0.5 ×
10–7
D.
305 ×
10–8
[Fai
r Gam
e] M
A.8
.A.6
.1 (
Low
) B
33
Kat
hy d
rew
the
figur
e be
low
of
circ
le L
to
prov
e a
theo
rem
.
Whi
ch th
eore
m is
Kat
hy m
ost l
ikel
y tr
ying
to
pro
ve?
F.
Equ
al a
rcs
cut e
qual
cho
rds.
G.
If a
rad
ius
of a
cir
cle
is p
erpe
ndic
ular
to
a ch
ord,
then
it b
isec
ts th
e ch
ord.
H.
The
mea
sure
of
an in
scri
bed
angl
e eq
uals
on
e ha
lf th
e m
easu
re o
f its
inte
rcep
ted
arc.
I. A
line
tang
ent t
o a
circ
le is
per
pend
icul
ar
to th
e ra
dius
at t
he p
oint
of
tang
ency
.
[G: L
esso
n 10
-3] M
A.9
12.G
.6.3
(H
igh)
G
44
Cha
rlie
’s c
ar h
as 1
7-in
ch w
heel
s. T
he ti
res
mea
sure
7 in
ches
fro
m th
e ri
m to
the
oute
r ed
ge. O
ne o
f hi
s ca
r’s
whe
els
is s
how
n be
low
.
17 in
.7 in
.
C
harl
ie d
rives
3.4
mile
s to
sch
ool e
ach
mor
ning
. Abo
ut h
ow m
any
full
rota
tions
do
the
whe
els
mak
e on
the
way
to s
choo
l?
A.
2,20
0 ro
tatio
nsB.
2,9
00 r
otat
ions
C. 4
,400
rot
atio
nsD
. 5,
800
rota
tions
[G: L
esso
n 10
-1] M
A.9
12.G
.6.5
(H
igh)
A
!"L#!9)#%&'''#&()*()#,+""),-./00"L123451"L11+676)+11(89987(12:1;<=)),6>?@;A5=6((96&B))C,)6:3=D5E./4#DF5#%&'''#&E305#()G)6HHHHHHHHHHHHH#()[email protected]
!)(#!7C#%&'''#&()#C<M2#,+"")+-./(+123451(+11+6()6)+11989,8(L1I:1;<=)),!)(#!7C#%&'''#&()#C<M2#,+"")+-./(+123451(+11+6()6)+11989,8(L1I:1;<=)),6>?@;A5=6((96&B))C,)6:3=D5E./4#DF5#%&'''#&E305#()G)6HHHHHHHHHHHHH#()[email protected]>?@;A5=6((96&B))C,)6:3=D5E./4#DF5#%&'''#&E305#()G)6HHHHHHHHHHHHH#()[email protected]
Printer PDF
Copyright ©
Glencoe/M
cGraw
-Hill, a division of T
he McG
raw-H
ill Com
panies, Inc.
B38-B39 NGSSS Practice, Geometry
B38
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
10
Prac
tice
(con
tinue
d)
Cir
cles
55
Whi
ch o
f th
e fo
llow
ing
is th
e gr
aph
of
(x –
3)2 +
(y
+ 4
)2 = 9
?
F.
yx
G.
y x
H.
y
x
I. y
x
[G: L
esso
n 10
-8] M
A.9
12.G
.6.7
(H
igh)
F
66
In th
e fi
gure
bel
ow, ! "#
XW
is ta
ngen
t to
circ
le
O a
t poi
nt W
, ! "#
XY
is ta
ngen
t to
circ
le O
at
poin
t Y, a
nd m
$
WY
is 1
40°.
140
W
hat i
s th
e de
gree
mea
sure
of ∠
WX
Y?
-40
[G: L
esso
n 10
-6] M
A.9
12.G
.6.4
(M
od)
40
77
A c
ircl
e in
the
coor
dina
te p
lane
has
a r
adiu
s of
10
units
and
a c
ente
r at
coo
rdin
ates
(–
2, 1
). W
hich
is a
n eq
uatio
n of
the
circ
le?
A.
(x -
2)2 +
(y
+ 1
)2 = 1
0B.
(x
+ 2
)2 + (
y -
1)2 =
10
C. (
x -
2)2 +
(y
+ 1
)2 = 1
00D
. (x
+ 2
)2 + (
y -
1)2 =
100
[G: L
esso
n 10
-8] M
A.9
12.G
.6.6
(M
od)
D
!"#$!%&$'()))$(*&+*&$,-""&,./011",234562",22-787&-22*9%%98"23:2;<=&&,7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D
NG
SSS
Prac
tice,
Geo
met
ry
B39
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
10
Prac
tice
(con
tinue
d)
Cir
cles
88
Lin
e B
E is
tang
ent t
o th
e ci
rcle
at p
oint
B,
−−
AB
is a
dia
met
er, a
nd m
$
BA
C e
qual
s 25
0°.
W
hat i
s th
e de
gree
mea
sure
of ∠
AB
C?
-35
[G: L
esso
n 10
-6] M
A.9
12.G
.6.4
(M
od)
35
99
Wha
t is
the
diam
eter
of
a ci
rcle
who
se
equa
tion
is (
x -
4)2 +
(y
+ 4
)2 = 3
6?
F.
6G
. 12
H.
18I.
36
[G: L
esso
n 10
-8] M
A.9
12.G
.6.6
(H
igh)
G
1010
In th
e ci
rcle
bel
ow, −−
P
S an
d −−
QR
are
cho
rds
inte
rsec
ting
at p
oint
T. I
f Q
T =
8, R
T =
3,
and
PT
= 4
, the
n w
hat i
s th
e le
ngth
of
−−
ST ?
-6
[G: L
esso
n 10
-7] M
A.9
12.G
.4.5
(M
od)
6
1111
A c
ircl
e in
the
coor
dina
te p
lane
is d
efin
ed b
y th
e eq
uatio
n (x
+ 2
)2 + y
2 = 4
. Wha
t are
the
coor
dina
tes
of th
e ce
nter
of
the
circ
le?
A.
(-2,
0)
B. (
2, 0
)C.
(0,
0)
D.
(0, -
2)
[G: L
esso
n 10
-8] M
A.9
12.G
.6.6
(M
od)
A
!"#$!%&$'()))$(*&+*&$,-""&,./011"-234562"-22-787&-22*9%%98L23:2;<=&&,7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D
!&*$!8C$'()))$(*&$C<M3$,-""&-./0C&234562C&22-7*&7&-22%9%,9*-2I:2;<=&&,!&*$!8C$'()))$(*&$C<M3$,-""&-./0C&234562C&22-7*&7&-22%9%,9*-2I:2;<=&&,7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D...7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D
Printer PDF
Cop
yrig
ht ©
Gle
ncoe
/McG
raw
-Hill
, a d
ivis
ion
of T
he M
cGra
w-H
ill C
ompa
nies
, Inc
.
NGSSS Practice, Geometry B40-B41
B40
N
GSS
S Pr
actic
e, G
eom
etry
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
10
Prac
tice
(con
tinue
d)
Cir
cles
1212
Ang
le A
CB
is in
scri
bed
in th
e ci
rcle
bel
ow,
and
inte
rcep
ts a
rc A
DB
.
If
m !
A
DB
equ
als
95°,
then
wha
t is
the
degr
ee
mea
sure
of ∠
ACB
?
-4
7.5
[G: L
esso
n 10
-4] M
A.9
12.G
.6.4
(M
od)
47.5
1313
The
gra
ph o
f th
e ci
rcle
for
whi
ch e
quat
ion
has
a pa
rt o
f th
e x-
axis
as
a di
amet
er?
F.
(x +
3)2 +
(y
- 5
)2 = 2
5G
. (x
- 2
)2 + (
y -
3)2 =
25
H.
x2 + (
y -
5)2 =
25
I. (x
- 2
)2 + y
2 = 2
5
[G: L
esso
n 10
-8] M
A.9
12.G
.6.7
(H
igh)
I
1414
The
cir
cle
grap
h be
low
sho
ws
hous
ing
char
acte
rist
ics
for
the
stat
e of
Flo
rida
, ac
cord
ing
to th
e 20
00 U
.S. C
ensu
s. T
he
grap
h sh
ows
thre
e ca
tego
ries
: ow
ner-
occu
pied
hou
sing
uni
ts (
O),
rent
er-o
ccup
ied
hous
ing
units
(R
), an
d va
cant
hou
sing
un
its (V
).
If
the
num
ber
of o
wne
r-oc
cupi
ed h
ousi
ng
units
was
abo
ut 5
mill
ion,
then
abo
ut h
ow
man
y ho
usin
g un
its w
ere
vaca
nt d
urin
g th
e 20
00 U
.S. C
ensu
s?
A.
1.5
mill
ion
hous
ing
units
B. 2
mill
ion
hous
ing
units
C. 2
.5 m
illio
n ho
usin
g un
itsD
. 8.
5 m
illio
n ho
usin
g un
its
[G: L
esso
n 10
-2] M
A.9
12.S
.3.1
(M
od)
A
1515
Lin
es j
and !
are
tang
ent t
o ci
rcle
A. W
hat i
s th
e va
lue
of x
? !
°
312°
F.
24°
G.
48°
H. 1
32°
I. 15
6°
[G: L
esso
n 10
-6] M
A.9
12.G
.6.4
(M
od)
H
!"#$!%&$'()))$(*&+*&$,-""&,./011%&234562%&22-787&-22*9%%98-23:2;<=&&,7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D
NG
SSS
Prac
tice,
Geo
met
ry
B41
Nam
e D
ate
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Cha
pter
11
Prac
tice
Are
as o
f Pol
ygon
s an
d C
ircl
es
Cir
cle
the
lett
er o
f the
ans
wer
you
cho
ose.
11
Whi
ch s
tate
men
t wou
ld n
ot b
e us
ed in
de
rivin
g th
e ar
ea f
orm
ula
for
a tr
iang
le u
sing
a
para
llelo
gram
?
h
b
A.
The
are
a of
a p
aral
lelo
gram
is A
= b
h.B.
The
dia
gona
l div
ides
the
para
llelo
gram
in
to 2
con
grue
nt tr
iang
les.
C. T
he a
reas
of
the
tria
ngle
s ar
e eq
ual.
D.
b2 + h
2 = (
diag
onal
)2
[G: L
esso
n 11
-1] M
A.9
12.G
.2.5
(M
od)
D
22
Wha
t is
the
area
, in
squa
re m
eter
s, o
f th
e tr
apez
oid
show
n be
low
?
30 m
20 m
18 m
12 m
-300
[G: L
esso
n 11
-2] M
A.9
12.G
.2.5
(M
od)
300
33
Wha
t is
the
area
of
an e
quila
tera
l tri
angl
e w
ith s
ide
leng
th 1
2? 12
1212
F.
9 √__
3 G
. 18
√__ 3
H.
36 √__
3 I.
72 √__
3
[G: L
esso
n 11
-1] M
A.9
12.G
.2.5
(M
od)
H
44
A r
ecta
ngle
has
leng
th, !
and
wid
th, w
. The
ar
ea o
f a
rect
angl
e is
the
prod
uct o
f th
e le
ngth
and
wid
th, !
w. =!w
!
w
If
the
wid
th o
f th
e re
ctan
gle
is d
oubl
ed a
nd
the
leng
th is
trip
led,
wha
t will
be
the
diff
eren
ce o
f th
e ne
w a
rea
and
the
orig
inal
ar
ea?
A.
!w
B. 4!w
C. 5!w
D.
6!w
[G: L
esso
n 11
-5] M
A.9
12.G
.2.7
(M
od)
C
!"#$!""$%&'''$&#()##$*+,,(*-./00"#123451"#11+676(+11#(8,78(91:;1<=>((*
6?@A<B5>6##"6&C((D*(6;3>E5F./4$EG5$%&'''$&F305$#(H(6IIIIIIIIIIIII$#(6:JJA.K3E---
!&*$!8C$'()))$(*&$C<L3$,-""&-./0C*234562C*22-7*&7&-22%9%,9C*2I:2;<=&&,!&*$!8C$'()))$(*&$C<L3$,-""&-./0C*234562C*22-7*&7&-22%9%,9C*2I:2;<=&&,7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D...7>?@;A6=7**%7(B&&C,&7:4=D6E/05$DF6$'()))$(E416$*&G&7HHHHHHHHHHHHH$*&7IJJ@/K4D
Printer PDF