Prove the following indirectly using two-column form:

Question

Given: ∠F ≇ ∠S, segment AF ≅ segment ST

Prove: Segment FT ≇ segment AS

Answer 1

Suppose FT = AS

AF = ST : given

AT = TA : reflexive

Triangle TFA is congruent to triangle AST : SSS

angle F = angle S : CPCTC

contradiction