Question

problem 12: (first taught in lesson 36) select which shortcut can be used to prove that this pair of triangles is congruent. if no method applies, choose
one.\

Explanation:

Step1: Recall congruence criteria

The Side - Angle - Side (SAS) congruence criterion 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.

Step2: Analyze the triangles

From the image, if we assume the markings on the sides and the right - angle (the included angle) are as shown, we can use SAS to prove congruence if the appropriate sides and included angle match the requirements of the SAS postulate. Since the question is asking for a congruence shortcut and SAS is a valid congruence - proving method for triangles, the answer is Side - Angle - Side.

Answer:

B. Side - Angle - Side