Question

Complete the proof. Given WX VZ, WY ≥ VY, YZ ~ YAX Prove AVWX = AWVZ W STATEMENTS 2.1 N 1. WX VZ. WY VY, YZ YX X 6. Z REASONS 1. Given 2. Reflexive Property of Congruence 3. Definition of congruent segments 4. Segment Addition Postulate 5. Substitution Property of Equality 6. Transitive Property of Equality 7. Definition of congruent segments​

Answer 1

The proof of Δ VWX = Δ WVZ is completed using two column proof

How to complete the proof

The proof is completed as follows

Statement Reason

VW ≅ WV Reflexive Property of Congruence

WY ≅ VY, XY ≅ YZ Definition of congruent segments

WY + YZ = WZ Segment Addition Postulate

VY + XY = WZ Substitution Property of Equality

VX = WZ Transitive Property of Equality

Δ VWX = Δ WVZ Definition of congruent segments