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 converse? If we are at the park, then we will swing.

If we will swing, then we are at the park.

If we are not at the park, then we will not swing.

If we will not swing, then we are at the park.

If we are at the park, then we will not swing.

What is the inverse? If Jason does not go out to dinner, then he will come to the volleyball game.

If Jason goes out to dinner, then he will not come to the volleyball game.

If Jason comes to the volleyball game, then he will not go out to dinner.

If Jason comes to the volleyball game, then he will go out to dinner.

If Jason does not go out to dinner, then he will not come to the volleyball game.

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.

Identify the hypothesis and conclusion in the following statement: If you eat breakfast, then you will feel better at school.

Hypothesis: If you eat breakfast Conclusion: You will feel better at school

Hypothesis: You will feel better at school Conclusion: if you eat breakfast

Write the following statement in if-then form. All vertical angles are congruent.

If two angles are vertical, then they are congruent.

If two angles are congruent, then they are vertical.

Write the following statement in if-then form. All cats chase mice.

If you are a cat, then you chase mice.

If you chase mice, then you are a cat.

What is the converse of the following statement? If it is Saturday, then the school is closed

If the school is closed, then it is Saturday.

If it is not Saturday, then the school is not closed.

If the school is not closed, then it is not Saturday.

What is the contraposistive of the following statement... If a line bisects a segment, then the segment is divided into two congruent parts.

If a segment is not divided into two equal parts, then a line does not bisect the segment.

If a segment is divided into two congruent parts, then a line bisects the segment.

If a line does not bisect a segment, then the segment is not bisected into two equal parts.

Logic Statements

Mathematics

9th - 12th Grade

CCSS covered

Used 35+ times

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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

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.

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.

MULTIPLE CHOICE QUESTION

30 sec • 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.

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.

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.

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.

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Logic Statements

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.

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

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