Question

Which of the following conditions make a pair of triangles congruent?

One angle and two sides are congruent.
Two angles and one side are congruent.
Two corresponding sides and one angle are congruent.
Two corresponding sides and two corresponding angles are congruent.

Answer 1

the true answer is Two corresponding sides and two corresponding angles are congruent.

Answer 2

Answer: Two angles and one side are congruent.

Two corresponding sides and two corresponding angles are congruent.

Explanation:

AAS theorem tells that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.

Therefore, if Two angles and one side are congruent. then the triangles are congruent.

If two corresponding sides and two corresponding angles are congruent, then also by AAS theorem triangles are congruent.