Given the conditional statement; "If it is Wednesday, then Jane doesn't have baseball practice." What is the hypothesis of this statement.

Jane doesn't have baseball practice

Then Jane doesn't have baseball practice

Given the conditional statement; "If Max gets good grade, then he won't be grounded" Which of the following is the contrapositive?

If Max gets grounded then he doesn't get good grades.

If Max isn't grounded then he gets good grades.

If Max doesn't get good grade then he will be grounded.

If Max gets good grades, the he will get grounded.

Given the conditional; "If Jose eats fish, then he has an allergic reaction" Which of the following is the converse?

If Jose has an allergic reaction, then he ate fish.

If Jose doesn't have an allergic reaction, then he didn't eat fish.

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

What is the converse to this statement?

If it is night, then it is dark outside

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

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

What is the inverse to this statement?

If you don't live in Montreal, then you don't live in Canada.

If you live in Canada, you live in Montreal

If you don't live in Canada, you don't live in Montreal.

Which is the converse of the following statement: "If two angles are complementary, then their sum is 90 degrees."

If two angles have a sum of 90 degrees, then they are complementary.

If two angles do not have a sum of 90 degrees, then they are complementary.

If two angles do not have a sum of 90 degrees, then they are not complementary.

If two angles are no complementary, then their sum is not 90 degrees.

Is the inverse of this true?

Its true. If two angles are not supplementary, then they do not add up to 180 degrees.

Its false. If angles don't add up to 180, they can still be supplementary.

Its false. Supplementary angles add up to 90 degrees.

Its true. Supplementary angles can add up to less than 180 degrees.

The three undefined terms in Geometry

converse, inverse, and contrapositive

Give another name for line k.

Line K is the only name, there is not another name.

Given the conditional statement; "If it is Wednesday, then Jane doesn't have baseball practice." What is the hypothesis of this statement.

Jane doesn't have baseball practice

Then Jane doesn't have baseball practice

Given the conditional; "If Jose eats fish, then he has an allergic reaction" Which of the following is the converse?

If Jose has an allergic reaction, then he ate fish.

If Jose doesn't have an allergic reaction, then he didn't eat fish.

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

Given the statement; "If Jose eats fish, then he has an allergic reaction" Which of the following is the converse?

If Jose has an allergic reaction, then he ate fish.

If Jose doesn't have an allergic reaction, then he didn't eat fish.

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

Given the statement; "If it snows then the school will be closed" Which is the inverse?

If it doesn't snow, then the school will be open.

If the school is open, then it didn't snow.

If the school is closed, then it snowed.

What is the contrapositive to this?

If an angle is not obtuse then it is not greater than 90.

If an angle is not greater than 90, then it is not obtuse

If an angle is 90, then it is right

If an angle is not greater than 90 then it must be acute

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.

What has to happen in order to write a biconditional statement?

converse of the conditional has to be true

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

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

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.

What is the biconditional that matches the statement below: An even number is a number that is divisible by 2.

A number is even if and only if it is divisible by 2.

If a number is divisible by 2, then it is even.

If a number is even, then it is divisible by 2.

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.

Converse Inverse contrapositive

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Converse Inverse contrapositive

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

L.2.1F, HSG.CO.A.1, 8.G.A.2

+10

Standards-aligned

Tri Dinh

Used 83+ times

FREE Resource

42 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When taking the converse we ___________ the hypothesis and conclusion.

negate

switch

leave the same

switch and negate

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When taking the inverse we _____________ the hypothesis and conclusion.

negate

switch

switch and negate

leave the same

Tags

CCSS.HSF.BF.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given, "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.

Tags

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

Converse

Inverse

Contrapositive

Negation

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Conditional: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

Converse

Inverse

Contrapositive

Negation

Tags

CCSS.HSS.CP.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

If I have a Siberian Husky.

I have a Siberian Husky.

Then I have a dog.

I have a dog.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given the conditional statement;
"If I am hungry, then I eat."
Which of the following is the inverse?

If I eat, then I am hungry.

If I don't eat then I am not hungry

If I am not hungry, then I don't eat.

If I am not hungry, then I eat.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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Converse Inverse contrapositive

42 questions

When taking the converse we ___________ the hypothesis and conclusion.

When taking the inverse we _____________ the hypothesis and conclusion.

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

Original: If Emily is not late to class, then she will not be marked tardy.What is this? If Emily is late to class, then she will be marked tardy.

Conditional: If Jenny buys a guitar, then she will not buy a keyboard.What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

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

Given the conditional statement;"If I am hungry, then I eat."Which of the following is the inverse?

Given the conditional statement;"If it is Wednesday, then Jane doesn't have baseball practice."What is the hypothesis of this statement.

Given the conditional statement;"If Max gets good grade, then he won't be grounded"Which of the following is the contrapositive?

Given the conditional;"If Jose eats fish, then he has an allergic reaction"Which of the following is the converse?

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Discover more resources for Mathematics

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

Conditional: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

Given the conditional statement;
"If I am hungry, then I eat."
Which of the following is the inverse?

Given the conditional statement;
"If it is Wednesday, then Jane doesn't have baseball practice."
What is the hypothesis of this statement.

Given the conditional statement;
"If Max gets good grade, then he won't be grounded"
Which of the following is the contrapositive?

Given the conditional;
"If Jose eats fish, then he has an allergic reaction"
Which of the following is the converse?