Question

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

Explanation:

Step1: Identify congruent parts

We see two - pairs of congruent sides (marked with single and double - hash marks) and the included angles between these sides are congruent (implied by the figure's orientation and the nature of the problem).

Step2: Apply congruence postulate

The Side - Angle - Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Here, we have two sides and the included angle of $\triangle ABC$ congruent to two sides and the included angle of $\triangle DEF$.

Answer:

B. $\triangle ABC\cong\triangle DEF$ by the SAS Postulate.