Question

What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent. If two triangles are congruent, then their corresponding angles are congruent. If the corresponding angles of two triangles are congruent, then the triangles are congruent. If two triangles are not congruent, then their corresponding angles are not congruent. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Answer 1

The two triangles may be congruent, but additional information is needed about the third angle in each triangle

Answer 2

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Explanation:

What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent.

Inverse of a statement means its opposite or negating both the hypothesis and conclusion of a conditional statement.

So, the inverse of the given statement will be :

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.