Converse and Contrapositive Statements/Examples/Triangles of 2 and 3 Equal Sides

Examples of Converse Statements
Let $P$ be the statement:


 * If a triangle has $3$ equal sides, then it has $2$ equal sides

which is trivially true.

$P$ can also be written:


 * A triangle has $3$ equal sides only if it has $2$ equal sides


 * A sufficient condition for a triangle to have $2$ equal sides is for it to have $3$ equal sides


 * A necessary condition for a triangle to have $3$ equal sides is for it to have $2$ equal sides

The converse of $P$ is:


 * If a triangle has $2$ equal sides, then it has $3$ equal sides

which is false.