Which statement is logically equivalent to the following conditional statement?

"If it has exactly five sides, then it is not an octagon."

A: If it is not an octagon, then it has exactly five sides.
B: If it does not have exactly five sides, then it is not an octagon.
C: If it does not have exactly five sides, then it is an octagon.
D: If it is an octagon, then it does not have exactly five sides.

D: If it is an octagon, then it does not have exactly five sides.

This is a contrapositive. If the original statement is true, then the contrapositive is also valid.
(I also just did this exam and got it correct.)

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saimaparvezVT saimaparvezVT · Answer 2 · 2022-08-31T14:51:45+02:00

The statement that if it is an octagon, then it does not have exactly five sides is a conditional statement which is the correct option (D).

What is the conditional statement?

The conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).

Let us consider the example to understand the parts of a conditional statement.

Conditional Statement: If today is Friday, then yesterday was Thursday.

Hypothesis: "If today is Friday."

In the given problem,

Conditional Statement: If it has exactly five sides, then it is not an octagon.

Hypothesis: "If it has exactly five sides"

If it is an octagon, then it does not have exactly five sides.

Here, this is a contrapositive.

If the original statement is true, then the contrapositive is also valid.

Hence, the statement that If it is an octagon, then it does not have exactly five sides is a conditional statement

Learn more about the conditional statement here:

brainly.com/question/7066208

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