Question

1. look at the figures. how can you prove these triangles are congruent?

△abc≅△def by the sss postulate.

△abc≅△def by the sas postulate.

it is not possible to determine if the triangles are congruent.

Explanation:

Step1: Recall congruence postulates

The SAS (Side - Angle - Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Step2: Identify corresponding parts

In \(\triangle ABC\) and \(\triangle DEF\), we can see that one side - angle - side correspondence exists. The marked sides and the included angles (the angles between the marked sides) are equal.

Answer:

\(\triangle ABC\cong\triangle DEF\) by the \(SAS\) Postulate.