Question

1 look at the figures. how can you prove the triangles are congruent? △abc≅△def by the sas postulate. it is not possible to determine if the triangles are congruent. △abc≅△def by the sss postulate.

Explanation:

Step1: Identify congruent sides

We see that the markings on the sides of $\triangle ABC$ and $\triangle DEF$ show that all three pairs of corresponding sides are equal.

Step2: Apply congruence postulate

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. Since we have three pairs of congruent sides, we use SSS.

Answer:

$\triangle ABC\cong\triangle DEF$ by the SSS Postulate.