Summative Test# 3:

Relationships among Angles formed by Parallel Lines cut by a Transversal

Choose the letter of the correct answer

1. Which of the following statements is CORRECT when parallel lines are cut by a transversal?

A. The sum of the degree measure of corresponding angles is 180O.

B. The sum of the degree measure of complementary angles is 180O.

C. The angles in a vertical pair are acute.

D. Corresponding angles are congruent.

2. Which of the statements below is ALWAYS TRUE?

A. Any two acute angles are complementary.

B. Alternate exterior angles are both obtuse angles.

C. Complementary angles are both acute angles.

D. Supplementary angles are both obtuse angles.

For numbers 3-6, refer to Figure 1. l1║l2 and t is a transversal.

3. Which of the following are corresponding angles?

A. ∠1 and ∠5, ∠2 and ∠6 C. ∠3 and ∠5, ∠4 and ∠6

B. ∠1 and ∠7, ∠2 and ∠8 D. ∠3 and ∠6, ∠4 and ∠5

4. Which of the following are alternate interior angles?

A. ∠1 and ∠5, ∠2 and ∠6 C. ∠3 and ∠5, ∠4 and ∠6

B. ∠1 and ∠7, ∠2 and ∠8 D. ∠3 and ∠6, ∠4 and ∠55. Which of the following are alternate exterior angles?

A. ∠1 and ∠5, ∠2 and ∠6 C. ∠3 and ∠5, ∠4 and ∠6

B. ∠1 and ∠7, ∠2 and ∠8 D. ∠3 and ∠6, ∠4 and ∠5

6. Which of the following are same-side interior angles?

A. ∠1 and ∠5, ∠2 and ∠6 C. ∠3 and ∠5, ∠4 and ∠6

B. ∠1 and ∠7, ∠2 and ∠8 D. ∠3 and ∠6, ∠4 and ∠5

7. In Figure 2, line t is perpendicular and transversal to line a and line b. Which statement is NOT correct?

A. ∠1 and ∠6 are congruent angles.

B. ∠1 and ∠4 form a linear pair.

C. ∠2 and ∠3 are supplementary.

D. ∠3 and ∠5 are congruent angles.

For numbers 8 -11. Refer to Figure 3, Parallel lines a and b are cut by transversal t.

8. If m∠1 = 85, what is m∠5?

A. 5 B. 85

C. 95

D. 275

9. If m∠3 = 85, what is m∠7?

A. 85 B. 90

C. 100

D. 110

10. If m∠4 = (4x) and m∠8 = (x +72), what is x?

A. 24 B. 40

C. 60

D. 120​