Converse, Inverse, Contrapositive, and Biconditional Stateme

If two lines have no common point, then they are parallel. What is the converse of this conditional statement?

• If two lines have a common point, then they are not parallel.

• If two lines are parallel, then they have no common point.

• If two lines are not parallel, then they have a common point.

• Two lines have no common point if and only if they are parallel.

If two lines have no common point, then they are parallel. What is the inverse of this conditional statement?

• If two lines have a common point, then they are not parallel.

• If two lines are parallel, then they have no common point.

• If two lines are not parallel, then they have a common point.

• Two lines have no common point if and only if they are parallel.

If two lines have no common point, then they are parallel. What is the contrapositive of this conditional statement?

• If two lines have a common point, then they are not parallel.

• If two lines are parallel, then they have no common point.

• If two lines are not parallel, then they have a common point.

• Two lines have no common point if and only if they are parallel.

If two lines have no common point, then they are parallel. What is the biconditional of this conditional statement?

• If two lines have a common point, then they are not parallel.

• If two lines are parallel, then they have no common point.

• If two lines are not parallel, then they have a common point.

• Two lines have no common point if and only if they are parallel.

Write the if-then form of this statement:

Two circles with equal diameters are congruent.

• If two circles are not congruent, then they do not have equal diameters.

• Two circles have equal diameters if and only if they are congruent.

• If two circles are congruent, then they have equal diameters.

• If two circles have equal diameters, then they are congruent.

If two circles have equal diameters, then they are congruent.

What is the inverse of this conditional statement?

• If two circles are not congruent, then they do not have equal diameters.

• If two circles do not have equal diameters, then they are not congruent.

• If two circles are congruent, then they have equal diameters.

• If two circles have equal diameters, then they are congruent.

If two circles have equal diameters, then they are congruent.

What is the contrapositive of this conditional statement?

• If two circles are not congruent, then they do not have equal diameters.

• If two circles do not have equal diameters, then they are not congruent.

• If two circles are congruent, then they have equal diameters.

• If two circles have equal diameters, then they are congruent.

Given the biconditional statement, identify the conditional statement and its converse.

A point is the mid point of a segment if and only if it divides the segment into two equal parts.

• If a point is the mid point of a segment then it divides the segment into two equal parts.

• If a point is not the mid point of a segment then it does not divide the segment into two equal parts.

• If a point divides the segment into two equal parts then it is the mid point of a segment.

• If a point does not divide the segment into two equal parts then it is not the mid point of a segment.

Given the biconditional statement, identify the conditional statement and its converse.

4x - 5 = 23 if and only if x = 7

• If 4x - 5 = 23

• If 4x - 5 = 23 then x = 7

• If x = 7 then 4x - 5 = 23

• then x = 7

Given the biconditional statement, identify the conditional statement and its converse.

The quadrilateral has four congruent sides and angles if and only if the quadrilateral is a square.

• The quadrilateral has four congruent sides and angles.

• The quadrilateral is a square.

• If the quadrilateral is a square then it has four congruent sides and angles.

• If the quadrilateral has four congruent sides and angles then it is a square.