Question

determine if the triangles below are congruent. if so, what properties are used in your logic?

Explanation:

Step1: Check for vertical angles

Vertical angles are equal. The two triangles have a pair of vertical angles.

Step2: Check for side - side - side (SSS)

The two triangles have three pairs of equal sides (marked in the figure).

Answer:

Yes, the triangles are congruent. The properties used are vertical angles (to get one pair of equal angles) and SSS (side - side - side) congruence property (since three pairs of sides are equal).