The Polygon Angle-Sum Theorems Worksheet With Answers (Page 5 of 8) in pdf

EXERCISES

3. Practice

For more exercises, see Extra Skill, Word Problem, and Proof Practice.

Practice and Problem Solving

Assignment Guide

4. No; two sides intersect

Practice by Example

Is the ﬁgure a polygon? If not, tell why.

between endpoints.

A B

1-10, 50-53

Example 1

(page 157)

A B

11-49, 54-56

for

yes

Challenge

57-63

Help

No; it has no sides.

No; it is not a plane ﬁgure.

Test Prep

64-70

Name each polygon by its vertices. Then identify its sides and angles.

5. MWBFX; sides:

Mixed Review

71-86

; ' : l M,

l W, l B, l F, l X

Homework Quick Check

To check students’ understanding

7. HEPTAGN; sides:

of key skills and concepts, go over

;

Exercises 8, 22, 32, 37, 55.

' : l H, l E, l P, l T, l A,

KCLP; sides:

;

l G, l N

Exercises 8–10

Point out that it

' : l K, l C, l L, l P

is usually easier to count vertices

Example 2

Find a polygon in each photograph. Classify the polygon by its number of sides.

than sides of a polygon. Because

Tell whether the polygon is convex or concave.

(page 158)

the number of vertices and sides

are equal, either method is

10.

acceptable.

Connection to Language Arts

Exercises 12, 13

Point out that

the two polygons differ only

pentagon; convex

pentagon; concave

in the prefix do-, which means

decagon; concave

“two.” By adding it and the

Example 3

Find the sum of the measures of the angles of each polygon.

prefix deca-, which means “ten,”

(page 159)

1080

11.

12. dodecagon

1800

13. decagon

1440

you get 2 + 10 = 12.

14. 20-gon

3240

15. 1002-gon

180,000

Example 4

Algebra

Find the missing angle measures.

(page 160)

16.

102

17.

18.

116

100

117

129

120

105

130

GPS

Guided Problem Solving

115

Enrichment

103

135

145

125

Reteaching

Adapted Practice

19.

20.

21.

135

Practice

113,

Name

Class

Date

119

Practice 3-5

Lines in the Coordinate Plane

151

Write an equation of the line with the given slope that contains the

given point.

60, 60, 120, 120

1. F(3, -6), slope

2. Q(5, 2), slope -2

3. A(3, 3), slope 7

4. B(-4, -1), slope -

140

5. L(-3, -2), slope

7. D(1, -9), slope 4

8. W(0, 6), slope -1

6. R(15, 10), slope

Graph each line using slope-intercept form.

9. 2y = 8x - 2

10. 2y =

x - 10

11. 3x + 9y = 18

12. -x + y = -1

13. y + 7 = 2x

14. 4x - 2y = 6

15. 5 - y =

x =

y - 1

16.

Example 5

Find the measures of an interior angle and an exterior angle of each

Graph each line.

regular polygon.

17. y = 5x + 4

18. y = x - 3

19. x = -2

20. y = -2x

(page 160)

21. y = -5

22. y = x

23. y = - x + 2

24. x = 2.5

Write an equation of the line containing the given points.

22. pentagon

23. dodecagon

24. 18-gon

25. 100-gon

25. A(2, 7), B(3, 4)

26. P(-1, 3), Q(0, 4)

27. S(10, 2), T(2, –2)

28. D(7, -4), E(-5, 2)

31. X(-1, -1), Y(4, –2)

32. M(8, -3), N(7, 3)

108; 72

150; 30

160; 20

176.4; 3.6

29. G(-2, 0), H(3, 10)

30. B(3, 5), C(-6, 2)

Write equations for (a) the horizontal line and (b) the vertical line that

161

contain the given point.

Lesson 3-5

The Polygon Angle-Sum Theorems

33. Z(2, -11)

34. D(0, 2)

35. R(-4, -4)

36. F(-1, 8)

Graph each line using intercepts.

37. 3x - y = 12

38. 2x + 4y = -4

x +

y = 3

40. 12x - 3y = –6

39.

41. 2x - 2y = 8

42.

x + 2y = 2

43. -6x + 1.5y = 18

44. 0.2x + 0.3y = 1.8

45. Hourly Wages The equation P = $3.90 + $0.10x represents the hourly

pay (P) a worker receives for loading x number of boxes onto a truck.

a. What is the slope of the line represented by the given equation?

b. What does the slope represent in this situation?

c. What is the y-intercept of the line?

d. What does the y-intercept represent in this situation?

46. Inclines The Blackberrys’ driveway is difﬁcult to get up in the winter

ice and snow because of its slope. What is the equation of the line that

represents the Blackberrys’ driveway?

161

The Polygon Angle-Sum Theorems Worksheet With Answers Page 5

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