Select the conditional statement(s) of the biconditional statement. Points are collinear if and only if they all lie in one line.

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

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

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

Collinear points lie in one line.

Identify the hypothesis and conclusion: If 3 x − 7 = 32 3x-7=32 3 x − 7 = 3 2 , then x = 13. x=13. x = 1 3 .

Hypothesis: 3 x − 7 = 32 3x-7=32 3 x − 7 = 3 2 Conclusion: x = 13 x=13 x = 1 3

Hypothesis: x = 13 x=13 x = 1 3 Conclusion: 3 x − 7 = 32 3x-7=32 3 x − 7 = 3 2

Determine if the statement is true or false. Then write the converse. If Jake lives in Ramsey, then he lives in New Jersey

True; If Jake lives in New Jersey, then he lives in Ramsey.

True; If Jake lives in Ramsey, then he lives in New Jersey.

False; If Jake lives in Ramsey, then he lives in New Jersey.

False; If Jake lives in New Jersey, then he lives in Ramsey.

Identify the hypothesis: If an angle measures 90 ° \degree ° , then it is a right angle.

an angle measures 90 ° \degree °

if an angle measures 90 ° \degree °

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 °

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 ° .

A biconditional statement..

uses the phrase "if and only if"

is the first part of a statement

is the second part of a statement

When can a biconditional statement be true?

When the original statement (conditional statement) and the converse are both true.

When the inverse and the converse are both true

When the original statement (conditional statement) & the contrapositive are both true.

Rewrite the following statement as a biconditional: "Supplementary angles add up to 180"

Two angles are supplementary if and only if the sum of the measure of the two angles is 180 o .

If two angles add up to 180 o then they are supplementary.

If two angles sum does not equal 180 o then they are not supplementary.

Select the conditional statement of the biconditional statement: I am a junior if and only if I am in 11th grade.

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

What counterexample makes the following biconditional false? "It is Halloween if and only if it is October 31."

This is a true biconditional, so it has no counterexamples.

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

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

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

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.

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

Rewrite the statement as a conditional statement. "All dolphins are mammals."

If an animal is a dolphin, then it is a mammal.

If an animal is a mammal, then it is a dolphin.

If an animal is not a mammal, then it is not a dolphin.

Conditionals & Biconditionals

Authored by Zohra Samji

Mathematics

9th - 10th Grade

CCSS covered

Used 228+ times

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25 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

I have a dog.

I have a Siberian Husky.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

I have a dog.

I have a Siberian Husky.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

To write the converse you negate both the hypothesis and the conclusion.

False

True

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

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.

Tags

CCSS.HSG.CO.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

If Shelly lives in Texas, then she lives in the United States.

If Shelly lives in the United States, then she lives in Texas.

Shelly lives in Texas if and only if she lives in the United States.

If Shelly does not live in Texas, then she does not live in the United States.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the hypothesis and conclusion:

If $3x-7=32$ , then $x=13.$

Hypothesis: $3x-7=32$
Conclusion: $x=13$

Hypothesis: $x=13$
Conclusion: $3x-7=32$

Tags

CCSS.HSA.REI.A.1

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Conditionals & Biconditionals

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

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

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

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

To write the converse you negate both the hypothesis and the conclusion.

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

What is the biconditional statement of the following conditional statement?“If Shelly lives in Texas, then she lives in the United States.”

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.

Select the conditional statement(s) of the biconditional statement.Points are collinear if and only if they all lie in one line.

Identify the hypothesis and conclusion:If 3x−7=323x-7=323x−7=32 , then x=13.x=13.x=13.

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Discover more resources for Mathematics

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

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.

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

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

Identify the hypothesis and conclusion:

If $3x-7=32$ , then $x=13.$