Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

is △efg ≅ △hjk? if so, name the postulate that applies. given: (overlin…

Question

is △efg ≅ △hjk? if so, name the postulate that applies. given: (overline{ef}congoverline{hj}), (overline{eg}congoverline{hk}), (overline{fg}congoverline{jk}) a. congruent - sss b. congruent - sas c. might not be congruent d. congruent - asa

Explanation:

Step1: Recall congruence postulates

The SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Check given information

We are given that $\overline{EF}\cong\overline{HJ}$, $\overline{EG}\cong\overline{HK}$, and $\overline{FG}\cong\overline{JK}$. This means the three sides of $\triangle EFG$ are congruent to the three sides of $\triangle HJK$.

Answer:

A. Congruent - SSS