Question

1. choose the correct answer. which pair of triangles demonstrates congruence with the sas postulate? c a d b

Explanation:

Step1: Recall SAS Postulate

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.

Step2: Analyze Option A

In option A, the angle is not the included angle between the two sides.

Step3: Analyze Option B

In option B, we have two sides and the included angle congruent. Let's assume the common side (the side that is shared between the two triangles conceptually) along with the marked sides and angles. If we consider the two triangles, two sides and the angle between them (the included angle) are congruent.

Step4: Analyze Option C

In option C, there is no information about an included angle. It just shows three sides (which would be SSS if all three sides were congruent, but here we are looking for SAS).

Step5: Analyze Option D

In option D, there is no information about a side - angle - side relationship. It seems to be more of an AA (angle - angle) or maybe a non - congruent case (if we consider side - side - non - included angle which is not a congruence postulate)

Answer:

B.