\begin{tabular}{|c|c|}\hline \( \begin{array}{c}\text { Which postulate proves these two } \\ \text { triangles are congruent? }\end{array} \) \\ \hline ASA \\ \hline HL & SAS \\ \hline\end{tabular}
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To determine the congruence of two triangles, the Angle-Side-Angle (ASA) postulate is a reliable approach. This postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. It’s like having a secret handshake that only congruent triangles know! Another useful postulate is Side-Angle-Side (SAS). According to SAS, if two sides and the angle between them in one triangle are congruent to two sides and the angle between them in another triangle, then the triangles are congruent. Think of it as the “angle sandwich” where the angle is the perfect spread holding the congruent sides together!