Question

1. how are the following triangle congruent? if they are not congruent then choose nei (not enough information or not possible)

side - side - side
side - angle - side
angle - side - angle

Explanation:

Step1: Analyze first - triangle pair

We only see two angles marked equal. There are no side - length information given for the first pair of triangles. So, we don't have enough information to prove congruence.

Step2: Analyze second - triangle pair

We see three pairs of equal sides marked by the tick marks on the sides of the second pair of triangles. By the Side - Side - Side (SSS) postulate, if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Answer:

For the first pair: NEI (not enough information)
For the second pair: Side - Side - Side