Question

drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.
match each statement with its contrapositive.

if a figure isnt a pentagon, then the sum of its interior angles isnt 540°,
if two figures arent congruent, then their corresponding sides arent equal.
if two numbers arent even, then their product isnt even.
if the sum of the interior angles of a figure isnt 540°, then the figure isnt a pentagon.
if the corresponding sides of two figures arent equal, then the two figures arent congruent.
if the product of two numbers isnt even, then the two numbers arent even.

if two figures are congruent, then their corresponding sides are equal.

if two numbers are even, then their product is even.

if a figure is a pentagon, then the sum of its interior angles is 540°.

Explanation:

A contrapositive of a statement "If P, then Q" is "If not Q, then not P". We apply this rule to each given statement:

1. For "If two figures are congruent, then their corresponding sides are equal", P is "two figures are congruent", Q is "their corresponding sides are equal". The contrapositive is "If the corresponding sides of two figures aren't equal, then the two figures aren't congruent."
2. For "If two numbers are even, then their product is even", P is "two numbers are even", Q is "their product is even". The contrapositive is "If the product of two numbers isn't even, then the two numbers aren't even."
3. For "If a figure is a pentagon, then the sum of its interior angles is 540°", P is "a figure is a pentagon", Q is "the sum of its interior angles is 540°". The contrapositive is "If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon."

Answer:

1. If two figures are congruent, then their corresponding sides are equal. → If the corresponding sides of two figures aren't equal, then the two figures aren't congruent.
2. If two numbers are even, then their product is even. → If the product of two numbers isn't even, then the two numbers aren't even.
3. If a figure is a pentagon, then the sum of its interior angles is 540°. → If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon.