Question

Given:line segment WZ is congruent to line segment YZline segment WX is parallel to line segment ZY Prove: triangle WXZ is congruent to triangle YZX

Answer 1

Complete the proof below by choosing the correct reason for line number 4.

Statement


Reason

1.line segment WZ is congruent to line segment YZ


Given

2.line segment WX is parallel to line segment ZY


Given

3.angle WXZ and angle XYZ
are alternate interior angles.


Definition of alternate interior angles.

4.angle WXZ is congruent to angle XZY

5.line segment ZX is congruent to line segment XY


Reflexive Property

6.triangle WXZ is congruent to triangle YZX


SAS

Answer 2

A. Alternate Interior Angle Theorem
B. Alternate Exterior Angle Theorem
C. Consecutive Interior Angle Theorem
D. Corresponding Angles Theorem