for which pair of triangles would you use AAS to prove the congruence of the 2 triangles

According to AAS congruence rule, two triangles are congruent if two angles and a non included side are congruent to corresponding angles and side of another triangle.

We need two angles and a non included side, to use AAS postulate.

In option A, two sides and their inclined angle are congruent, therefore these triangles are congruent by SAS postulate and option A is incorrect.

In option B, two angles and a non included side are congruent, therefore these triangles are congruent by AAS postulate and option B is correct.

In option C, two angles and their included side are congruent, therefore these triangles are congruent by ASA postulate and option C is incorrect.

In option D, all sides are congruent, therefore these triangles are congruent by SSS postulate and option D is incorrect.

MrRoyal MrRoyal · Answer 2 · 2021-10-26T14:16:35+02:00

Similar triangles may or may not be congruent.

The pair that supports AAS postulate is (b)

To do this, we simply analyze the options

(a) Triangle A

Two sides and one angle are congruent for both triangles.

This means that, the theorem is: SAS

(b) Triangle B

Two angles and one side are congruent for both triangles.

This means that, the theorem is: AAS or ASA

However, the congruent side is not between the angles.

So, the correct theorem for triangles B is AAS

Hence, the pair of triangles that supports AAS postulate is (b)

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