Question

Give two example of converse statements:-​

Answer 1

Step-by-step explanation:

Statement If two angles are congruent, then they have the same measure.

Converse If two angles have the same measure, then they are congruent

Answer 2

Answer:

Example 1:

Statement If two angles are congruent, then they have the same measure.

Converse If two angles have the same measure, then they are congruent.

Inverse If two angles are not congruent, then they do not have the same measure.

Contrapositive If two angles do not have the same measure, then they are not congruent.

In the above example, since the hypothesis and conclusion are equivalent, all four statements are true. But this will not always be the case!

Example 2:

Statement If a quadrilateral is a rectangle, then it has two pairs of parallel sides.

Converse If a quadrilateral has two pairs of parallel sides, then it is a rectangle. (FALSE!)

Inverse If a quadrilateral is not a rectangle, then it does not have two pairs of parallel sides. (FALSE!)

Contrapositive If a quadrilateral does not have two pairs of parallel sides, then it is not a rectangle