Conditional Statements

1. What is the hypothesis in the following conditional statement?

If the sum of two angles is 90°, then the angles are complementary.

• the sum of two angles is 90°

• the angles are complementary

2. What is the hypothesis in the following conditional statement?

If two angles are a linear pair, then the angles are supplementary.

• two angles are a linear pair

• the angles are supplementary

3. What is the conclusion in the following conditional statement?

If two lines intersect to form a right angle, then they are perpendicular lines.

• two lines intersect to form a right angle

• they are perpendicular lines

4. What is the conclusion in the following conditional statement?

If an angle is acute, then it has a measure shorter than 90°.

• an angle is acute

• it has a measure shorter than 90°

1. What is the converse of the following conditional statement?

If the sum of two angles is 90°, then the angles are complementary.

• If two angles are complementary, then the sum of the angles is 90°.

• If the sum of two angles is not 90°, then the angles are not complementary.

• If two angles are not complementary, then the sum of the angles is not 90°.

2. What is the converse of the following conditional statement?

If two angles are a linear pair, then the angles are supplementary.

• If two angles are not a linear pair, then the angles are not supplementary.

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

• If two angles are not supplementary, then the angles are not a linear pair.

3. What is the converse of the following conditional statement?

If two lines intersect to form a right angle, then they are perpendicular lines.

• If two intersecting lines doesn't form a right angle, then they aren't perpendicular lines.

• If two intersecting lines are perpendicular, then they form a right angle.

• If two intersecting lines aren't perpendicular, then they don't form a right angle.

4. What is the converse of the following conditional statement?

If an angle is acute, then it has a measure shorter than 90°.

• If an angle isn't acute, then it doesn't have a measure shorter than 90°.

• If an angle has a measure shorter than 90°, then it is acute.

• If an angle doesn't have a measure shorter than 90°, then it isn't acute.

1. What is the inverse of the following conditional statement?

If the sum of two angles is 90°, then the angles are complementary.

• If two angles are complementary, then the sum of the angles is 90°.

• If the sum of two angles is not 90°, then the angles are not complementary.

• If two angles are not complementary, then the sum of the angles is not 90°.

2. What is the inverse of the following conditional statement?

If two angles are a linear pair, then the angles are supplementary.

• If two angles are not a linear pair, then the angles are not supplementary.

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

• If two angles are not supplementary, then the angles are not a linear pair.