Question

10 which of the following triangle pairs can be proven with the sas postulate (select all that apply)?

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, there are two pairs of congruent sides and the included angle (the vertical angles are congruent) between them. So, it satisfies the SAS postulate.

Step3: Analyze Option B

In option B, the sides and the angle do not follow the SAS pattern. The angle is not the included angle between the two pairs of congruent sides.

Step4: Analyze Option C

In option C, the sides and the angle do not follow the SAS pattern. The angle is not the included angle between the two pairs of congruent sides.

Step5: Analyze Option D

In option D, the sides and the angle do not follow the SAS pattern. The angle is not the included angle between the two pairs of congruent sides.

Step6: Analyze Option E

In option E, there are two pairs of congruent sides and the included angle (the right angles are congruent) between them. So, it satisfies the SAS postulate.

Answer:

A, E