Question

question 23 of 25
what else would need to be congruent to show that \\( \triangle efg \cong \triangle jkl \\) by sss?
given:
\\( \overline { e g } \cong \overline { j l } \\)
\\( \overline { f g } \cong \overline { k l } \\)
a. \\( \overline { e f } \cong \overline { j k } \\)
b. \\( \angle e \cong \angle j \\)
c. \\( \overline { e f } \cong \overline { f g } \\)
d. \\( \angle f \cong \angle k \\)

Explanation:

Step1: Recall SSS Congruence Criterion

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

Step2: Identify the given congruent sides

We are given \( \overline{EG}\cong\overline{JL}\) and \( \overline{FG}\cong\overline{KL}\).

Step3: Determine the missing congruent side

For \( \triangle EFG\) and \( \triangle JKL\), the third pair of sides should be \( \overline{EF}\) and \( \overline{JK}\). If \( \overline{EF}\cong\overline{JK}\), then by SSS, \( \triangle EFG\cong\triangle JKL\).

Answer:

A. \( \overline{EF}\cong\overline{JK}\)