State the third congruence that must be given to prove that △ABC △XYZ using the indicated postulate or theorem. - Show Work & Explain

Question

Given

<A ≅ <X

<B ≅ <Y

 

 

Method

AAS Congruence Theorem

Answer 1

To be able to apply AAS congruence theorem two consecutive angles and a side must be congruent. If <A and <B are congruent to <X and <Y then there are two possibilities for the congruent side, either side BC must equal side YZ or side AC must equal side XZ.