Question

answer the following questions.
answer questions 1-4 given the following conditional statement:
if a figure is a square, then it has four equal sides.

1. the contrapositive form of the statement would be:

○ if a figure is not a square, then it does not have four equal sides.
○ a figure is a square if and only if it has four equal sides
○ if a figure does not have four equal sides, then it is not a square.
○ if a figure has four equal sides, then it is a square.

Explanation:

To find the contrapositive of a conditional statement "If \( p \), then \( q \)", we use the rule: contrapositive is "If not \( q \), then not \( p \)". Here, \( p \) is "a figure is a square" and \( q \) is "it has four equal sides". So not \( q \) is "a figure does not have four equal sides" and not \( p \) is "it is not a square". So the contrapositive is "If a figure does not have four equal sides, then it is not a square".

Answer:

C. If a figure does not have four equal sides, then it is not a square.