Converses, Inverses, and Counterexamples - Station 1

Which is the inverse of the following statement?

If an angle is a right angle, then its measure is 90 degrees.

• If an angle is not a right angle, then its measure is not 90 degrees

• If the measure of an angle is 90 degrees, then it is a right angle.

• If the measure of an angle is not 90 degrees, then it is not a right angle.

• If the measure of an angle is more than 90 degrees, then it is not a right angle.

Which of the following statements has a converse that is ALWAYS true?

• If two angles are vertical, then they are congruent.

• If two angles are a linear pair, then they are supplementary.

• If two angles are adjacent, then they share a common side.

• If two lines are skew, then they don't intersect.

Which of the following statements has a converse that is not always true?

• If two angles are supplementary, then their measures add up to 180 degrees.

• If two angles are complementary, then their measures add up to 90 degrees

• If two angles make a linear pair, then they are adjacent.

• If an angle is an acute angle, then its measure is less than 90 degrees.

Which statement is the inverse of the following conditional statement?

If the measure of an angle is 180 degrees, then it is a straight angle.

• If an angle is a straight angle, then its measure is 180 degrees

• If an angle is not a straight angle, then its measure is not 180 degrees.

• If the measure of an angle is not 180 degrees, then it is not a straight angle.

• If the measure of an angle is less than 180 degrees, then it is not a a straight angle.