Question

Determine whether the statement is true or false. Explain your reasoning. If itis false, provide a counterexample.Statement: Two triangles that have congruent angles are congruent.

Answer 1

The statement is False

Explanation:

Statement: Two triangles that have congruent angles are congruent.

The statement is False.

As a counterexample, consider the two triangles below:

The two triangles above have congruent angles 45°-45°-90.°

However, the side lengths are not the same, thus, the triangles are not congruent, hence supporting our claim that the given statement is False.