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

D: converse of the alternate exterior angles theorem

Question 2

Which diagram shows parallel lines cut by a transversal?

Revolt · Accepted Answer

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

Question 3

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

A: x = z; B: x + y = 180°

Question 4

Which lines are parallel? Justify your answer.

Revolt · Accepted Answer

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

Question 5

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 6

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 7

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

Revolt · Accepted Answer

A: it is given

Question 8

♣ =  ♦ =  ♠ =

Revolt · Accepted Answer

B: alternate interior angles theorem

Question 9

Question 9

Revolt · Accepted Answer

70

Question 10

Question 10

Revolt · Accepted Answer

120

Proving Lines Parallel Answers