Question

what else would need to be congruent to show that △efg≅△jkl by sss? given: (overline{eg}congoverline{jl}), (overline{fg}congoverline{kl}). a. (overline{ef}congoverline{fg}) b. (angle econgangle j) c. (angle fcongangle k) d. (overline{ef}congoverline{jk})

Explanation:

Step1: Recall SSS congruence criterion

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

Step2: Identify given congruent sides

We are given that $\overline{EG}\cong\overline{JL}$ and $\overline{FG}\cong\overline{KL}$.

Step3: Determine the missing congruent side

For $\triangle EFG\cong\triangle JKL$ by SSS, we need the third - pair of corresponding sides to be congruent. The missing pair is $\overline{EF}$ and $\overline{JK}$, so we need $\overline{EF}\cong\overline{JK}$.

Answer:

D. $\overline{EF}\cong\overline{JK}$