Proving Lines Parallel

Question 1

Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k?

Revolt · Accepted Answer

converse of the alternate exterior angles theorem

Question 2

Question 4

Revolt · Accepted Answer

converse alternate exterior angles theorem

Question 3

Which diagram shows parallel lines cut by a transversal?

Revolt · Accepted Answer

[Image: 2 lines are cut by a transversal. At the intersect...]

Question 4

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply.

Revolt · Accepted Answer

x = z; x + y = 180°

Question 5

Which lines are parallel? Justify your answer.

Revolt · Accepted Answer

Lines l and m are parallel because same side interior angles are supplementary

Question 6

If angle 1 is 110°, what would the other angle measures have to be in order for m || n and q || p? Angle 2 = ⇒ 110° Angle 3 = ° Angle 4 = ⇒ 70°

Revolt · Accepted Answer

⇒ 110: 70; Part 2: 70; ⇒ 70: 110

Question 7

Find the values of x and y that make k || j and m || n. x = ⇒ 80° y = ⇒ 130°

Revolt · Accepted Answer

⇒ 80: 40; ⇒ 130: 120

Question 8

Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .

Revolt · Accepted Answer

it is given; Selection 1: it is given; Selection 2: angle 2; Selection 3: angle 3; Selection 4: converse alternate exterior angles theorem

Question 9

Question 12

Revolt · Accepted Answer

angle 2

Question 10

Question 13

Revolt · Accepted Answer

angle 3

Proving Lines Parallel Answers

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