Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 5 of 10 are the two right triangles △trs and △wuv congruent? i…

Question

question 5 of 10 are the two right triangles △trs and △wuv congruent? if so, name the congruence postulate that applies. given: (overline{rs}congoverline{uv}), (angle scongangle v) a. congruent - sas b. might not be congruent c. congruent - sss d. congruent - asa

Explanation:

Step1: Recall congruence postulates

SAS (Side - Angle - Side) requires two sides and the included angle to be congruent. SSS (Side - Side - Side) requires all three sides to be congruent. ASA (Angle - Side - Angle) requires two angles and the included side to be congruent.

Step2: Analyze given information

We are given one side $\overline{RS}\cong\overline{UV}$ and one non - included angle $\angle S\cong\angle V$. We do not have enough information to use SAS, SSS or ASA.

Answer:

B. Might not be congruent