Conditional Statements

Given the conditional statement: If a shape has 4 sides, then it is a quadrilateral.

The following statement is an example of which?

If it is not a quadrilateral, then the shape does not have 4 sides.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The contrapositive is ~q --> ~p

Given the conditional statement: If you are at McDonalds, then you get a Mcflurry.

The following statement is an example of which?

If you are not at McDonalds, the you do not get a Mcflurry.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The inverse is ~p --> ~q

(think of inverse operations)

Given the conditional statement: If you are at school, then you are in Geometry.

The following statement is an example of which?

If you are in Geometry, then you are at school.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The converse is q --> p

(switch p and q)

Given the conditional statement: If you are at school, then you are in Geometry.

The following statement is an example of which?

If you are not in school, then you are not in Geometry.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The inverse is ~p --> ~q

(think of inverse operations)

Given the conditional statement: If you have two endpoints, then you have a line segment.

The following statement is an example of which?

You have two endpoints if and only if you have a line segment.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The Biconditional statement can be written when the Conditional and the Converse are true.

Given the conditional statement: If a triangle is equiangular, then the triangle is equalateral.

Can this statement be written as a biconditional statement?

• Yes

• No

Answer explanation

The Biconditional statement can be written when the Conditional and the Converse are true.

Given the conditional statement: If a shape has 4 sides, then it is a quadrilateral.

The following statement is an example of which?

If it is a quadrilateral, then the shape have 4 sides.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The converse is when the hypothesis and conclusion are switched.

Given the conditional statement: If a shape has 4 sides, then it is a quadrilateral.

The following statement is an example of which?

If a shape does not have 4 sides, then it is not a quadrilateral.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

Negate both the hypothesis and conclusion.

Given the conditional statement: If a shape has 4 sides, then it is a quadrilateral.

Can the statement be written as a biconditional statement?

• Yes

• No

Answer explanation

Both the conditional and converse are true, so it can be written as a biconditional statement.

Given the conditional statement: If you are at McDonalds, then you get a Mcflurry.

The following statement is an example of which?

If you didn't get a Mcflurry, then you aren't at McDonalds.

• Biconditional

• Converse

• Inverse

• Contrapositive

Answer explanation

The contrapositive is ~q --> ~p

(think of inverse operations)