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

corresponding angles theorem ✔ converse alternate exterior angles theorem converse same side interior angles theorem

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 = ° y = °

Revolt · Accepted Answer

Part 1: 40; Part 2: 120

Question 8

✔ it is given of the transitive property linear pairs are supplementary

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

♣ = ♦ = ♠ =

Revolt · Accepted Answer

alternate interior angles theorem

Question 10

angle 1 ✔ angle 2 line m

Revolt · Accepted Answer

angle 2

Proving Lines Parallel Answers