Questions: Which postulate or theorem proves that these two triangles are congruent?
ASA Congruence Postulate
HL Congruence Theorem
SAS Congruence Postulate
Transcript text: Which postulate or theorem proves that these two triangles are congruent?
ASA Congruence Postulate
HL Congruence Theorem
SAS Congruence Postulate
Solution
Solution Steps
Step 1: Analyze the given information
We are given two triangles, $\triangle WXY$ and $\triangle ZYX$. We are told that $\angle W \cong \angle Z$ and $\angle Y \cong \angle Y$. Also, the segment $WY \cong ZY$.
Step 2: Determine the appropriate congruence postulate
We have two pairs of congruent angles ($\angle W \cong \angle Z$ and $\angle Y \cong \angle X$) and a pair of congruent non-included sides ($WY \cong ZY$).
Final Answer: The ASA Congruence Postulate proves that the two triangles are congruent.