What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

Then his mom will have to drive him

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

Shelly lives in Texas if and only if 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.

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

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.

If Mrs. Hafner walks dogs at the animal shelter, then she has a late dinner. If it is Wednesday, then Mrs. Hafner walks dogs at the animal shelter. What can you conclude?

If it is Wednesday, then Mrs. Hafner has a late dinner.

If Mrs. Hafner has a late dinner, then she walks dogs at the animal shelter.

If Mrs. Hafner has a late dinner, then it is Wednesday.

If it is Monday, then Garfield is grumpy. If it is Monday, then John will feel Garfield lasagna. What can you conclude?

If Garfield is grumpy, then John will feed Garfield lasagna.

Garfield is grumpy, if it is Monday.

If John feeds Garfield lasagna, then it is Monday.

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles. What can you conclude?

If a figure is a square, then it has 4 right angles.

If a figure has 4 right angles, then it is a square.

If a figure is a rectangle, then it is a square with 4 right angles.

If it is rainy outside, then the sun is behind clouds. The sun is behind the clouds. What can you conclude?

If it is rainy outside, then the sun is behind the clouds.

Conditional statements

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

7.G.B.5, L.2.1F, RI.11-12.2

+14

Standards-aligned

Used 5+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

2.

MULTIPLE CHOICE QUESTION

1 min • 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.

3.

MULTIPLE CHOICE QUESTION

1 min • 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.

4.

MULTIPLE CHOICE QUESTION

1 min • 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.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

If I have a Siberian Husky.

I have a Siberian Husky.

Then I have a dog.

I have a dog.

6.

MULTIPLE CHOICE QUESTION

1 min • 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.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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.

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Conditional statements

30 questions

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

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.

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

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

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

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

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

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