Question

matching 3 points. for the statement \if an angle measures 90°, then it is a right angle,\ identify the following: converse, inverse, contrapositive. if an angle is not a right angle, then it does not measure 90°. if an angle is a right angle, then it measures 90°. if an angle does not measure 90°, then it is not a right angle. if an angle measures 90°, then it is not a right angle. if an angle is a not a right angle, then it measures 90°. if an angle is a right angle, then it does not measure 90°.

Explanation:

The original statement is "If an angle measures 90°, then it is a right - angle".

• The converse switches the hypothesis and conclusion: "If an angle is a right - angle, then it measures 90°".
• The inverse negates both the hypothesis and conclusion: "If an angle does not measure 90°, then it is not a right - angle".
• The contrapositive switches and negates both the hypothesis and conclusion: "If an angle is not a right - angle, then it does not measure 90°".

Answer:

Converse: If an angle is a right - angle, then it measures 90°.
Inverse: If an angle does not measure 90°, then it is not a right - angle.
Contrapositive: If an angle is not a right - angle, then it does not measure 90°.