Question

Complete the proof.

Prove: △VWX ≅ △XYV
A) AAS
B) ASA
C) HL
D) SAS

Answer 1

D) SAS

Explanation:

Answer 2

D) SAS

Explanation:

Given:

Segment XY = segment VW

Segment XY ║ segment VW

∠ VXY = ∠ WVX (Alternate Interior angle Theorem)

Segment VX ≅ segment VX (relative property of Congruence)

Solution:

In △VWX and △XYV

Segment VX ≅ segment VX

∠ WVX = ∠ VXY

Segment XY = segment VW

∴ By Side Angle Side Congruence Property

△VWX ≅ △XYV by SAS