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 2

Revolt · Accepted Answer

70

Question 3

angle 1 angle 2 ✔ angle 3

Revolt · Accepted Answer

✔ angle 3

Question 4

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

Revolt · Accepted Answer

✔ converse alternate exterior angles theorem

Question 5

Find the values of x and y that make k || j and m || n.

Revolt · Accepted Answer

⇒ 80: 40; ⇒ 130: 120

Question 6

Given: ∠T ≅ ∠V; ST || UVProve: TU || VW

Revolt · Accepted Answer

♣ = ♦ = ♠ =: alternate interior angles theorem; ♣ = ♦ = ♠ =: transitive property; ♣ = ♦ = ♠ =: converse alternate interior angles theorem

Question 7

givenlinear pair postulate✔ transitive property

Revolt · Accepted Answer

✔ transitive property

Question 8

✔ converse alternate interior angles theoremconverse corresponding angles theoremconverse alternate exterior angles theorem

Revolt · Accepted Answer

✔ converse alternate interior angles theorem

Proving Lines Parallel Answers