For each statement in Ex 5-10 copy and complete a table like the one shown below.

If a triangle is scalene, then it has no congruent sides.

If the given statement is ‘’If p then q’’, the contrapositive is ‘’If not q then not p’’.

If the given statement is ‘’If p then q’’, the converse is ‘’If q then p’’.

If the given statement is ‘’If p then q’’, the inverse is ‘’If not p then not q’’.

The given statement is “If a triangle is scalene, then it has no congruent sides”.

Since a scalene triangle has three different measures sides.

Therefore, the given statement: “If a triangle is scalene, then it has no congruent sides” is true.

The contrapositive of the given statement is If a triangle has congruent sides, then it is not scalene.

Thus, it is also true.

The converse of the given statement is If a triangle has no congruent sides, then it is scalene.

Thus, it is true.

The inverse of the given statement is “If a triangle is not scalene, then it has congruent sides”.

Thus, it is true.