NAME _____________________________________________ DATE __________________ PERIOD _________

74 Course 3 • Chapter 5 Triangles and the Pythagorean Theorem

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.

For Exercises 1–12, use the figure at the right. In

1 25 6

3 47 8

the figure, line m is parallel to line n.

Classify each pair of angles as alternate interior, alternate exterior, or corresponding.

1. ∠1 and ∠8

2. ∠5 and ∠7

3. ∠3 and ∠6

4. ∠2 and ∠4

5. ∠2 and ∠7

6. ∠4 and ∠5

If m∠4 = 122°, find each given angle measure. Justify your answer.

7. m∠8

8. m∠5

9. m∠2

10. m∠1

11. m∠6

12. m∠7

For Exercises 13 and 14, use the figure at the right.

12 3

5 4

6 7

43° 13. List all the angles congruent to the given angle. Explain your reasoning.

14. List all the angles congruent to ∠5. Explain your reasoning.

Lesson 1 Skills PracticeLines

073_088_CC_A_RSPC3_C05_662332.indd Page 74 7/13/11 9:06 AM s-60user073_088_CC_A_RSPC3_C05_662332.indd Page 74 7/13/11 9:06 AM s-60user /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/.../Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/...

PDF Pass

Course 3 • Chapter 5 Triangles and the Pythagorean Theorem 73

NAME _____________________________________________ DATE __________________ PERIOD _________

Copy

righ

t ©

The

McG

raw

-Hill

Com

pani

es, I

nc. P

erm

issi

on is

gra

nted

to

repr

oduc

e fo

r cl

assr

oom

use

.Lesson 1 Homework PracticeLines

For Exercises 1–6, use the figure at the right. In the figure, line m is parallel to line n.

List all pairs of each type of angle.

1. vertical

2. complementary

3. supplementary

4. corresponding

5. alternate interior

6. alternate exterior

Use the figure at the right for Exercises 7–10.

7. Find the measure of ∠2. Explain your reasoning.

8. Find the measure of ∠3. Explain your reasoning.

9. Find the measure of ∠4. Explain your reasoning.

10. Find the measure of ∠6. Explain your reasoning.

11. ALGEBRA Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If m∠A = 4x and m∠B = 3x + 7, find the value of x. Explain.

12. ALGEBRA Angles G and H are supplementary and congruent. If ∠G and ∠H are alternate interior angles, what is the measure of each angle?

1 24 3

56

78 9 10

12 3

5 46 7

86°

073_088_CC_A_HWPSC3_C05_662335.indd Page 73 02/07/11 9:12 PM s-60user073_088_CC_A_HWPSC3_C05_662335.indd Page 73 02/07/11 9:12 PM s-60userVolumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/ASSESSMENT_MASTERS_COURSE1-3...Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY/ASSESSMENT_MASTERS_COURSE

PDF Pass