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Contrapositive of the statement "If two numbers are not equal, then their squares are not equal." is: (1) If the squares of two numbers are equal, then the numbers are not equal (2) If the squares of two numbers are equal, then the numbers are equal (3) If the squares of two numbers are not equal, then the numbers are equal (4) If the squares of two numbers are not equal, then the numbers are not equal

1. If the squares of two numbers are equal, then the numbers are not equal
2. If the squares of two numbers are equal, then the numbers are equal
3. If the squares of two numbers are not equal, then the numbers are equal
4. If the squares of two numbers are not equal, then the numbers are not equal

Correct answer: If the squares of two numbers are equal, then the numbers are equal

Solution

The contrapositive of a statement reverses and negates both the hypothesis and conclusion. Since the original statement asserts that unequal numbers lead to unequal squares, its contrapositive correctly states that equal squares imply equal numbers.

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