Write a two column proof!

Question

Given:

Line Segment AB ≅ Line Segment CD, Line Segment BC ≅ Line Segment DA

 

Prove:

△ABC ≅ △CDA

Answer 1

The figure is one triangle with base AC, and vertex B above, and another triangle using the same base with vertex D below.

 

AB is congruent to CD   given

BC is congruent to AD   given

AC = AC                      reflexive property of equality

Triangle ABC is congruent to triangle CDA    SSS method of congruence

 

Q.E.D.