Question

determine if the two triangles are necessarily congruent. if so, fill in a flowchart proof to prove that they are. the triangles are are not necessarily congruent. answer: you must answer all questions above in order to submit.

Explanation:

Step1: Identify given information

We have two - triangles $\triangle ZAY$ and $\triangle MLK$. We see that $\angle A=\angle M$, $\angle Y = \angle K$ and $ZY=LK$.

Step2: Apply congruence criterion

By the Angle - Angle - Side (AAS) congruence criterion, if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. Here, in $\triangle ZAY$ and $\triangle MLK$, we have two pairs of congruent angles ($\angle A=\angle M$ and $\angle Y=\angle K$) and a pair of congruent non - included sides ($ZY = LK$).

Answer:

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