Converse, Inverse and Contrapositives

• conditional statement
• inverse
• converse
• contrapositive

• conditional statement
• inverse
• converse
• contrapositive

• conditional statement
• inverse
• converse
• contrapositive

What is the converse to this statement?

• If it isn't dark outside, then it is not night.

• If it is night, then it is dark outside

• If it is not night, then it is not dark outside.

• It is night.

When taking the converse we ___________ the hypothesis and conclusion

• negate

• switch

• highlight

• switch and negate

If angles are not congruent, then the measures of the angles are not equal. Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.

• If angles are not congruent, then the measures of the angles are not equal.

• If the measures of the angles are not equal, then the angles are not congruent.

• If the angles are not congruent, then the measure of the angles are equal.

Given:

Statement A: If two lines are parallel, then they do not intersect.

Statement B: If two lines intersect, then they are not parallel.

What is the relationship between Statement A and Statement B?

• inverse

• converse

• biconditional

• contrapositive

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

If angles are congruent, then the measures of the angles are equal. Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.

• If angles are not congruent, then the measures of the angles are not equal.

• If the measures of the angles are not equal, then the angles are not congruent.

• If the angles are not congruent, then the measure of the angles are equal.

For the contrapositive we _________ the hypothesis and conclusion

• switch

• negate

• switch and negate

• neither