Free Printable Conditional and Biconditional Statements

Worksheets

Conditional and Biconditional Statements

Total questions: 30

Worksheet time: 45mins

Name

Class

Date

What is the hypothesis of the given Conditional Statement?

Jimmy will go to Orlando

Jimmy goes on vacation

Jimmy will go to Orlando

Who is Jimmy?

What is the conclusion to this?

Clarkson will be the coolest

Clarkson will not be the coolest

Clarkson gives us Mountain Dew

Clarkson will not give us Mountain Dew

What is the hypothesis of this conditional?

Sally goes to the park.

Sally will fall off the swing.

Parks don't have swings that Sally goes to.

If Sally falls off the swing, she goes to the park.

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

What is this?

Conditional Statement

Inverse

Converse

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

q → p

conditional

converse

inverse

contrapositive

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Converse

Inverse

Contrapositive

Negation

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

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

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

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

A rectangle is also a quadrilateral.

What does this mean?

Conditional Statement

Inverse Statement

Converse Statement

Contrapositive Statement

10.

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.

11.

~q → ~p

conditional

converse

inverse

contrapositive

12.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

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

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

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

A rectangle is also a quadrilateral.

13.

This symbol, ↔, means?

and

if and only if

implies

14.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

Conditional

Conjecture

Biconditional

15.

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

If an angle has 90 degrees, then it is a right angle.

If an angle is a right angle, then it has 90 degrees.

An angle is a right angle if and only if it has 90 degrees.

16.

Select the conditional statement of the biconditional statement:

I am a junior if and only if I am in 11th grade.

I am a junior

If I am a junior, then I am in 11th grade.

I am in 11th grade

17.

Identify the hypothesis:

If an angle measures 90 $\degree$ , then it is a right angle.

if an angle measures 90 $\degree$

an angle measures 90 $\degree$

then it is a right angle

it is a right angle

18.

Identify the conclusion:

If an angle measures 90 $\degree$ , then it is a right angle.

if an angle measures 90 $\degree$

an angle measures 90 $\degree$

then it is a right angle

it is a right angle

19.

Determine the biconditional statement for the following:

If an angle measures 90 $\degree$ , then it is a right angle.
If an angle is a right angle, then it measures 90 $\degree$ .

An angle is a right angle if and only if it measures 90 $\degree$ .

When an angle measures 90 $\degree$ , then it is a right angle.

An angle cannot be a right angle unless it measures 90 $\degree$ .

20.

Select the conditional statement(s) of the biconditional statement.

Points are collinear if and only if they all lie in one line.

If collinear points lie in one line, then they are a line.

If points all lie in one line, then they are collinear.

Collinear points lie in one line.

If points are collinear, then they all lie in one line.

21.

Select the conditional statement(s) of the biconditional statement:

Points lie in one plane if and only if they are coplanar.

Coplanar points lie in one plane.

If points lie in one plane, then they are coplanar.

If points are coplanar, then they lie in one plane.

Planes have coplanar points.

22.

What is the contrapositive to this?

If the food is not cooked, then it is not in the oven.

If the food is not in the oven, then it is not cooked.

If the food is cooked, then its in the oven.

If food is not in the oven, then its cooked.

23.

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.

24.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

25.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

26.

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

If I do not have a Siberian Husky, then I do not have a dog.

If I have a dog, then I have a Siberian Husky.

If I do not have a dog, then I do not have a Siberian Husky.

If I do not have a Siberian Husky, then I have a dog.

27.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

Converse

Inverse

Contrapositive

Negation

28.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

(a)

29.

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

If you are late to school, then you will miss the bus.

If you miss the bus, then you will be late to school

If you sleep late, then you don't have to go to school.

If you miss the bus, then you'll have to walk and be late.

30.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

Converse

Inverse

Contrapositive

Contrainverse

Reset

Conditional and Biconditional Statements

Total questions: 30

Worksheet time: 45mins

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