Question

Converse of the statement"If two triangles are congruent, then they have the same measure".

• A. If two triangles have the same measure, then they are congruent
• B. If two triangles have the same measure, then they are not congruent
• C. If two triangles are not congruent, then they do not have the same measure
• D. If two triangles do not have the same measure, then they are not congruent

Answer 1

The correct option is A If two triangles have the same measure, then they are congruent

For any conditional staements $p\to q$
Converse statement is $q\to p$
Inverse statement is $\sim p\to \sim q$
Contrapositive statement is $\sim q\to \sim p$
So, in this case
$p$= two triangles are congruent,
$q$= they have the same measure
Converse statement is $q\to p$
$\Rightarrow$ If two triangles have the same measure, then they are congruent