Question

What is the inverse of the following conditional statement?

"If an angle measures ninety degrees then it is a right angle."

A. If an angle measures ninety degrees then it is a right angle.
B. If an angle does not measure ninety degrees then it is a right angle.
C. If an angle measures ninety degrees then it is not a right angle.
D. If an angle does not measure ninety degrees then it is not a right angle.

Answer 1

The answer is D. You essentially just put "not" in front of the true statements.

Answer 2

Answer: D. If an angle does not measure ninety degrees then it is not a right angle.

Explanation:

Hi, to obtain the inverse of a conditional statement we have to negate the hypothesis and the conclusion of the conditional statement.

In this case, the hypothesis is "If an angle measures ninety degrees"

The negative form is "If an angle does not measure ninety degrees" .

The conclusion of the statement is, "then it is a right angle."

The negative form is "then it is not a right angle."

In conclusion, the correct option is option D. If an angle does not measure ninety degrees then it is not a right angle.

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