Questions: Which postulate or theorem proves that these two triangles are congruent? ASA Congruence Postulate HL Congruence Theorem SAS Congruence Postulate

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
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Solution

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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.

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