Question

1. in the diagram below, if ∠p = ∠t, ∠q = ∠u, and pq = tu, which postulate can be used to prove that △pqr = △tuv? a. sss congruence postulate b. hl congruence theorem c. asa congruence postulate d. sas congruence postulate

Explanation:

Step1: Recall congruence postulates

We know that SAS (Side - Angle - Side) requires two sides and the included angle, ASA (Angle - Side - Angle) requires two angles and the included side, HL (Hypotenuse - Leg) is for right - triangles, and SSS (Side - Side - Side) requires three sides.

Step2: Analyze given information

We are given two angles ($\angle P=\angle T$ and $\angle Q=\angle U$) and the included side between them ($PQ = TU$). This matches the ASA (Angle - Side - Angle) congruence postulate.

Answer:

C. ASA Congruence Postulate