Proving Lines Parallel

Question 1

Lines c and d are parallel lines cut by transversal p.

Revolt · Accepted Answer

∠2 ≅ ∠6

Question 2

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.

Revolt · Accepted Answer

converse alternate exterior angles theorem

Question 3

Letters a, b, c, and d are angle measures.

Revolt · Accepted Answer

d

Question 4

Lines a and b are parallel and lines e and f are parallel.

Revolt · Accepted Answer

82

Question 5

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

Revolt · Accepted Answer

Lines e and f are parallel because their alternate exterior angles are congruent.

Question 6

Given: and Prove:

Revolt · Accepted Answer

m∠1 + m∠4 = 180°

Question 7

In the diagram, g ∥ h, m∠1 = (4x + 36)°, andm∠2 = (3x – 3)°.

Revolt · Accepted Answer

60°

Question 8

Which diagram shows lines that must be parallel lines cut by a transversal?

Revolt · Accepted Answer

Lines s and r are intersected by line m. At the intersection of lines r and m, the top angle is 91 degrees. At the intersection of lines s and m, the top angle is 91 degrees.

Question 9

Parallel lines e and f are cut by transversal b.

Revolt · Accepted Answer

25

Question 10

Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersection of lines b and f, the bottom right angle is (6 x minus 36) degrees.

Revolt · Accepted Answer

22

Proving Lines Parallel Answers

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