Question

1. what is the converse of the following statement? if two triangles are congruent, then their corresponding angles are congruent. if two triangles are not congruent, then their corresponding angles are not congruent. if the corresponding angles of two triangles are congruent, then the triangles are congruent. if two triangles are congruent, then their corresponding angles are congruent. if the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Explanation:

Step1: Recall the definition of converse

For a conditional statement “If \(p\), then \(q\)”, the converse is “If \(q\), then \(p\)”.
In the given statement “If two triangles are congruent (\(p\)), then their corresponding angles are congruent (\(q\))”, we need to swap \(p\) and \(q\).

Step2: Form the converse

The converse is “If the corresponding angles of two triangles are congruent (\(q\)), then the triangles are congruent (\(p\))”.

Answer:

If the corresponding angles of two triangles are congruent, then the triangles are congruent.