1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62
1.
2. Yes, by definition. No, they don’t have to be adjacent
3. Yes4. No5. Yes
7. Complementary: GLH and HLJ Supplementary: GLJ and JLK
No, they don’t have to share a vertex
1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62
9. m2 = 69° 11. m2 = 85°
13. m2 = 25° 15. m2 = 153°
17. x = 8, mDEG = 135°, mGEF = 45°
19. x = 9, mDEG = 54°, mGEF = 36°
21. Linear Pair 23. Vertical Angles25. Linear Pair 27. Neither
29. The angles add up to 90°, not 180°. ANS: x = 22.5
31. x = 10°, y = 35° 33. x = 55°, y = 30°
1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62
39. x = 23, mA = 71°, mB = 19°
41. x = 4, mA = 68°, mB = 22°
43. x = 39, mA = 58°, mB = 122°
49. FGA & AGC 50. FGA & CGD
51. FGA & AGC 52. FGA & AGB
53. Subtract 180 – 120 to find the supplementary angle, 60°
61. 62.L J
H K
E F G HJ JK
HL LK
EF FG GE
1.6 – Classify Polygons
Polygon:
Plane figure that is formed by 3 or more segments, called sides such that:
1. Each side intersects exactly 2 other sides, once at each endpoint
2. No sides with a common endpoint are collinear
3. No curved sides
Side: Line segment forming the polygon
M
T
SR
Q
QM
MT
TS
SR
RQ
Vertex: Point where two sides meet
M
T
SR
Q
M
T
S
R
Q
Consecutive Sides: Two sides that share a point, one after the other
M
T
SR
Q
and MTQM
and QRQM
Diagonal: Segment that joins two nonconsecutive sides
M
T
SR
Q
QT
QS
MS
MR
TR
# of sides Name
3
4
5
6
7
8
9
10
11
12
n
trianglequadrilateral
pentagonhexagon
heptagonoctagon
nonagondecagon
? Extra Credit!
dodecagonn-gon
Convex: No line that contains a side of the polygon contains a point in the interior of the polygon. (rubberband)
Concave: Not convex! Think of a cave going inward!
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
No, Curved side
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, concave
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, convex
State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
No,
Sides intersect 3 other sides
Equilateral Equiangular Regular
All sides are congruent
All angles are congruent
All sides AND all angles are congruent
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Regular
Hexagon
All sides and angles
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Regular
quadrilateral
All sides and angles
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Equiangular
Octagon
All angles , but not all sides
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
equilateral
decagon
All sides , but not all angles
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Regular
Heptagon
All sides and angles
Classify the name of the polygon by the number of sides. Is the polygon equilateral, equiangular, or regular? Explain your reasoning.
Equilateral
Quadrilateral
All sides , but not all angles
1.7 - Find Perimeter, Circumference, and Area
Area:
Perimeter:
Square units inside a shape.
Measured in u2
cm2, in2, ft2
Length around a shape.
Measured in ucm, in, ft, yd
, yd2
sP 4 2sA
Square:
s
wA wP 22
Rectangle:
bhA
w
cbaP bhA2
1
Triangle:
b
a ch
b
a ch
rC 2 2rA
Circle:d
dC
Diameter = 2 radius
1. Find the perimeter and area of the shaded figure.
sP 4 2sA)8(4PinP 32
2)8(A264inA
Perimeter: _____________
Area: __________________
inP 32264inA
1. Find the perimeter and area of the shaded figure.
298 ftA
Perimeter: _____________
Area: __________________
wP 22 bhA)7(2)14(2 P
1428PftP 42
)7)(14(A
ftP 42298 ftA
1. Find the perimeter and area of the shaded figure.
cbaP bhA2
1
343016 PinP 80 )16)(30(
2
1A
)16(15A2240inA
Perimeter: _____________
Area: __________________
inP 802240inA
1. Find the perimeter and area of the shaded figure.
cbaP bhA2
1
204839 PcmP 107 )15)(48(
2
1A
A24(15)
A360cm2
Perimeter: _____________
Area: __________________
cmP 107
A360cm2
2. Find the perimeter and area of the shaded figure.
Perimeter: _____________
Area: __________________
2rA dC )49(CcmC 49
224.5A
A600.25cm2
A600.25cm2
cmC 49
1. Find the perimeter and area of the shaded figure.
cbaP bhA2
1
13107 PmP 30 )5)(10(
2
1A
)5(5A225mA
Perimeter: _____________
Area: __________________
mP 30225mA
4. Use the information about the figure to find the indicated measure.
Perimeter = 84ftFind the length. wP 22
)13(2284 26284
258 ft29
Area = 432m2
Find the width.
4. Use the information about the figure to find the indicated measure.
2A s2432 s
432 s
4 108
2 2 2 27
3 9
3 3
2 3 2 3s 6 6s m
Area = 189cm2
Find the height.
4. Use the information about the figure to find the indicated measure.
bhA2
1
h)21(2
1189
189 10.5h
hcm18