GEOMETRY, 2008
38

 PAGE: 96 SET: Exercises PROBLEM: 38

The given statement is if you exercise regularly, then you are in good shape.

The converse of the above statement is

Converse:            If you are in good shape, then you are doing exercise regularly.

The converse is true.

The inverse of the statement is

Inverse:               If you do not exercise regularly, then you are not in good shape.

The inverse is false because you can also get good shape with Yoga.

The contrapositive of the statement is

Contrapositive:  If you are not in good shape, then you are not doing exercise regularly.

The contrapositive is true.

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