Practice Contrapositive in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The statement 'If not Q, then not P'—logically equivalent to 'If P, then Q.'
Flip and negate. Always has the same truth value as the original.
Example 1
easyForm the contrapositive of: 'If n^2 is even, then n is even.'
Example 2
mediumProve by contrapositive: 'If n^2 is odd, then n is odd.'
Example 3
easyWrite the contrapositive of: 'If a triangle is equilateral, then all its angles are 60°.'
Example 4
mediumWrite the contrapositive of: 'If n^2 is even, then n is even.'