5.5 a&b Graphs of Sine and Cosine HW p. 589 1-23 odd, 31-65 odd.
1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62
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Transcript of 1.5 HW pg. 38-41 #1-5, 7-33 odd, 39-43 odd, 49-53, 61, 62
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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
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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°
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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
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1.6 – Classify Polygons
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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
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Side: Line segment forming the polygon
M
T
SR
Q
QM
MT
TS
SR
RQ
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Vertex: Point where two sides meet
M
T
SR
Q
M
T
S
R
Q
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Consecutive Sides: Two sides that share a point, one after the other
M
T
SR
Q
and MTQM
and QRQM
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Diagonal: Segment that joins two nonconsecutive sides
M
T
SR
Q
QT
QS
MS
MR
TR
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# of sides Name
3
4
5
6
7
8
9
10
11
12
n
trianglequadrilateral
pentagonhexagon
heptagonoctagon
nonagondecagon
? Extra Credit!
dodecagonn-gon
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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!
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State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
No, Curved side
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State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, concave
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State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
Yes, convex
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State whether the shape is a polygon. If yes, is it concave or convex? If no, why not?
No,
Sides intersect 3 other sides
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Equilateral Equiangular Regular
All sides are congruent
All angles are congruent
All sides AND all angles are congruent
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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
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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
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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
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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
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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
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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
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1.7 - Find Perimeter, Circumference, and Area
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Area:
Perimeter:
Square units inside a shape.
Measured in u2
cm2, in2, ft2
Length around a shape.
Measured in ucm, in, ft, yd
, yd2
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sP 4 2sA
Square:
s
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wA wP 22
Rectangle:
bhA
w
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cbaP bhA2
1
Triangle:
b
a ch
b
a ch
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rC 2 2rA
Circle:d
dC
Diameter = 2 radius
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1. Find the perimeter and area of the shaded figure.
sP 4 2sA)8(4PinP 32
2)8(A264inA
Perimeter: _____________
Area: __________________
inP 32264inA
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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
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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
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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
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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
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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
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4. Use the information about the figure to find the indicated measure.
Perimeter = 84ftFind the length. wP 22
)13(2284 26284
258 ft29
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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
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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