Question

1. which congruence postulate or theorem must you use before proving ef ≅ hi? sas congruence postulate sss congruence postulate aaa congruence postulate ssa congruence postulate

Explanation:

Step1: Recall congruence postulates

SAS (Side - Angle - Side) requires two sides and the included angle to be equal. SSS (Side - Side - Side) requires all three sides to be equal. AAA (Angle - Angle - Angle) only gives similarity, not congruence. SSA (Side - Side - Angle) is not a valid congruence postulate in general.

Step2: Analyze given triangles

In the two triangles, we have two pairs of equal sides ($5$ and $11$) and the included angles ($123^{\circ}$) are equal.

Answer:

SAS congruence postulate