Download Name Geometry CP – Chapter 3 Review #1-2

Name ____________________________________
Geometry CP – Chapter 3 Review
#1-2 - Refer to the figure to answer the questions.
1. Identify the intersection of plane ABD and plane CDE.
2. Name a segment skew to ̅̅̅̅ .
#3-6 - Identify each pair of angles as alternate interior,
alternate exterior, corresponding, or consecutive interior
angles.
3. ∠ 5 and ∠ 13
4. ∠ 7 and ∠ 12
5. ∠ 9 and ∠ 16
6. Given a ║ b and m∠ 6 = 89, find m∠ 10.
7. Find the values of x and y given a ║ b, m∠ 8 = 4x + 10, m∠ 12 = 7x – 17, and m∠ 11 = 3y.
#8-9 - Use the figure to answer the questions.
8. State the transversal that forms ∠ 11 and ∠ 13.
9. If m∠ 1 = 120, find m∠ 8.
10. Find the value of x so that ℓ ║ m.
11. Complete the proof.
Given: ∠ 1 and ∠ 2 are complementary.
∠ 3 and ∠ 4 are complementary.
∠1 ≅ ∠3
Prove: ∠ 3 and ∠ 2 are complementary.
Statements
1. ∠ 1 and ∠ 2 are complementary.
∠ 3 and ∠ 4 are complementary.
∠1 ≅ ∠3
2. ∠ 2 ≅ ∠ 4
3. m∠ 2 = m∠ 4
4. m∠ 3 + m∠ 4 = 90
5. m∠ 3 + m∠ 2 = 90
6. ∠ 3 and ∠ 2 are complementary.
Reasons
1. ________________________________
2. ________________________________
3. ________________________________
4. ________________________________
5. ________________________________
6. Definition of complementary angles
#12-13 - Refer to the figure to answer the questions.
12. Name the transversal that forms ∠ 3 and ∠ 6. Then
identify the special name for the angle pair.
13. If p ║ q, m∠ 1 = 5b + 23, and m∠ 11 = 2b + 10, find m∠ 2, m∠ 4, m∠ 10, and m∠ 12.
14. Find the value of x so that 𝒦 ║ ℓ.
#15-17 - Given the following information, determine which
lines, if any, are parallel. State the postulate or theorem that
justifies your answer.
15. ∠ QSR ≅ ∠ SUT
16. ∠ 1 ≅ ∠ 2
17. m∠ RTU + m∠ TUS = 180
18. Find the value of x so that p ║ q.
19. Find the distance between the following parallel lines: y = 3x – 1 and y = 3x – 11
#20-21 - Use the figures to answer each question.
20. If m∠ 2 = 6x + 8 and m∠ 6 = 8x – 6, find the value of x so that ℓ ║ m.
21. Given m∠ 6 + m∠ 7 = 180, which postulate or theorem justifies that ℓ ║ m?
19. Find the distance between the following parallel lines: y = 3x – 1 and y = 3x – 11
(Alternate Solution Method)