Question

which postulate would prove these two triangles are congruent? sss sas neither

Explanation:

1. First, identify the given information from the diagram: The vertical angles formed by the intersecting lines are equal (vertical angles theorem). Also, two sides of one triangle are marked as equal to two sides of the other triangle (the tick marks indicate congruent sides).
2. The SAS (Side - Angle - Side) 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 pairs of congruent sides (from the tick marks) and the included angle (the vertical angle) which is congruent. So the SAS postulate can be used to prove the triangles are congruent. The SSS postulate requires three pairs of congruent sides, and we don't have enough information for that here.

Answer:

SAS