Proving Lines Parallel Answers

Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k?converse of the corresponding angles theoremconverse of the alternate interior angles theoremconverse of the same side interior angles theoremconverse of the alternate exterior angles theorem

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply.x = z x + y = 180°x + z = 180°x = y z = 180°

Which lines are parallel? Justify your answer.Lines p and q are parallel because same side interior angles are congruent.Lines p and q are parallel because alternate exterior angles are congruentLines l and m are parallel because same side interior angles are supplementaryLines l and m are parallel because alternate interior angles are supplementary.

Angle 2 = [___]°

Angle 3 = [___]°

Angle 4 = [___]°

x = [___]°

y = [___]°

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 [___].

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 [___].

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 [___].

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 [___].

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

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

givenlinear pair postulate✔ transitive property

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