geometry get ready for the eoi pass based on the pattern, what are the next two terms of the...
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Geometry Get Ready for the EOI
PASS
Based on the pattern, what are the next two terms of the sequence?
9, 11, 15, 23, 39, . . .
1.
Content 1.1
Page 1
A 52
B 59
C 63
D 71
Geometry Get Ready for the EOI
PASS
Write the conditional statement illustrated by this Venn diagram
2.
Content 1.2
Page 2
F If an animal is a mammal, then it is a cow.
G If an animal is a cow, then it is a mammal.
H If an animal is a mammal, then it is not a cow.
J If an animal is a cow, then it is not a mammal.
Mammals
Cows
Geometry Get Ready for the EOI
PASS Content 2.2a
3.
Page 3
A
B
C
D
Line r is parallel to line t.
Find measure of angle 5. r
t
7
1 3
2
65
4
135°
045
0135
0125
0225
Geometry Get Ready for the EOI
PASS
F x = 3, y = 2
G x = 2, y = 3
H x = 6, y = 3
J x = 3, y = 6
4. In parallelogram DEFG,
DH = x + 3, HF = 3y,
GH = 4x – 5, and HE = 2y + 3.
Find the values of x and y.
Content 2.3c
Page 4
D
FG
E
H
Geometry Get Ready for the EOI
PASS
Find the values of x and y, given that and
are parallel.
OP
Content 2.4b
Page 5
A x = 10; y = 25.5
B 5x = 20; y = 17
C x = 13; y = 25
D x = 25.5; y = 10
M
O
Py
x
9
1820
N
Q
NQ5.
Geometry Get Ready for the EOI
PASS
F ASA only
G AAS only
H either ASA or AAS
J neither
Can you use the ASA Postulate, the
AAS Theorem, or both to prove the
triangles congruent?
Content 2.5a
6.
Page 6
Geometry Get Ready for the EOI
PASS
The circles are congruent. What can you conclude from the diagram?
Content 2.5b
A arc CAB arc FDE
B arc AB arc DE
C arc DF arc AC
D none of these
7.
Page 7
C FO
AP
E
B
D
)
)
Geometry Get Ready for the EOI
PASS
F 292°
G 146°
H 68°
J 34°
A park maintenance person stands 16 m from a circular
monument. If you assume her lines of sight form
tangents to the monument and make an angle of 34°,
what is the measure of the arc of the monument that her
lines of sight intersect?
Content 2.6a
8.
Page 8
Geometry Get Ready for the EOI
PASS
The figure consists of a chord,
a secant and a tangent to the
circle. Find the value of x, round
to the nearest hundredth, if
necessary.
A 15.75
B 9
C 5.14
D 28
Content 2.6b
9.
Page 9
4
79
15x
Geometry Get Ready for the EOI
PASS
F 13
G 5
H 18
J 8
A grid shows the positions of a subway stop and your
house. The subway stop is located at (–5, 2) and your
house is located at (–9, 9). What is the distance, to the
nearest unit, between your house and the subway stop?
Content 3.1
10.
Page 10
Geometry Get Ready for the EOI
PASS
A
B
C
D
27
Content 3.2
11.
Page 11
Find the length of the
hypotenuse using the special
relationships for a 45-45-90
triangle.
7 in.
2
3
37
Geometry Get Ready for the EOI
PASS
F
G
H
J
Content 3.3
12.
Page 12
Write the ratios for sin
A and cos A.
C B
A
4
3
5
Not drawn to scale
Geometry Get Ready for the EOI
PASS
A 145 ft
B 149 ft
C 135 ft
D 139 ft
To find the height of a pole, a surveyor moves 140 feet away
from the base of the pole and then, with a transit 4 feet tall,
measures the angle of elevation to the top of the pole to be
44. To the nearest foot, what is the height of the pole?
Content 3.3
13.
Page 13
Geometry Get Ready for the EOI
PASS
F hexagonal prism
G pentagonal prism
H octagonal prism
J septagonal prism
Which polyhedron has 10 faces?
Content 4.1a
14.
Page 13
Geometry Get Ready for the EOI
PASS
A 7 inches
B 18 inches
C 49 inches
D 327 inches
The volume of a cylinder is 980 cubic inches. The height of the
cylinder is 20 in. What is the radius of the cylinder?
Content 4.1b
15.
Page 15
hrV cylinder2
Geometry Get Ready for the EOI
PASS
F 81 : 225
G 3 : 5
H 5 : 3
J 225 : 81
Find the similarity ratio of a cube with volume
729 to a cube with volume 3375 . 2m
Content 4.2a
16.
Page 16
2m
3sVcube 26sSAcube
Geometry Get Ready for the EOI
PASS
A no, it is not a net for a cube7
B yes, U and Y, V and Z, W and Z are opposite faces
C yes, U and X, V and W, Z and Y are opposite faces
D yes, U and W, V and Y, X and Z are opposite faces
Consider the pattern to the
right. Is the pattern a net for a
cube? If so, name the letters
that will appear on opposite
faces.
Content 4.317.
Page 17
U V W
X Y Z
Geometry Get Ready for the EOI
PASS
F
G
H
J
M is the midpoint of the line segment CF for the points C(3, 4) and F(9, 8). Find MF.
136
Content 5.1
Page 18
18.
134
13
132
212
212 yyxx
111 , yxP 222 , yxPand
Distance between two points
Geometry Get Ready for the EOI
PASS
A right
B obtuse
C isosceles
D equilateral
What type of triangle has vertices at the
points A(-1,1), B(3,1), and C(-1,-2)?
Content 5.2a
19.
Page 19
Geometry Get Ready for the EOI
PASS
Which graph shows a triangle and its reflection image in the x-axis?
Content 5.2b
20.
Page 20
2 4–2–4 x
2
4
–2
–4
y
2 4–2–4 x
2
4
–2
–4
y
2 4–2–4 x
2
4
–2
–4
y
2 4–2–4 x
2
4
–2
–4
y
F
G
H
J