What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."

No counterexample, this is true.

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

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

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

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

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

If the school is closed, then it is Saturday.

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

If something is an angle, then it is acute. What is an appropriate counterexample?

True. There is no counterexample.

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

True. There is no counterexample.

Which is a counterexample to the following statement? If two angles are supplementary, then they are both 90 ° 90\degree 9 0 ° .

100 ° 100\degree 1 0 0 ° and 80 ° 80\degree 8 0 °

45 ° 45\degree 4 5 ° and 45 ° 45\degree 4 5 °

120 ° 120\degree 1 2 0 ° and 10 ° 10\degree 1 0 °

22 ° 22\degree 2 2 ° and 68 ° 68\degree 6 8 °

Conditional Statements & Counterexample Practice

Authored by Ally Brown

Mathematics

7th - 9th Grade

CCSS covered

Used 7+ times

Conditional Statements & Counterexample Practice

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25 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If an angle is an acute angle, then the angle is 45 degrees.
What is the CONVERSE?

If an angle is not an angle then the angle isn't 45 degrees.

If the angle is 45 degrees then the angle is an acute angle.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If an angle is an acute angle, then the angle is 45 degrees.
What is the inverse?

If an angle is not an acute angle, then the angle is not 45 degrees.

If an angle is 45 degrees then the angle is an acute angle.

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.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Converse

Inverse

Contrapositive

Negation

Tags

CCSS.HSS.CP.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When taking the converse we ___________ the hypothesis and conclusion.

negate

switch

leave the same

switch and negate

Tags

CCSS.RI.7.1

CCSS.RI.7.8

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When taking the inverse we _____________ the hypothesis and conclusion.

negate

switch

switch and negate

leave the same

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

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Conditional Statements & Counterexample Practice

If an angle is an acute angle, then the angle is 45 degrees.
What is the CONVERSE?

If an angle is an acute angle, then the angle is 45 degrees.
What is the inverse?

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 converse.

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

When taking the converse we ___________ the hypothesis and conclusion.

When taking the inverse we _____________ the hypothesis and conclusion.

What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."

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

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Conditional Statements & Counterexample Practice

If an angle is an acute angle, then the angle is 45 degrees. What is the CONVERSE?

If an angle is an acute angle, then the angle is 45 degrees.What is the inverse?

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 converse.

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

When taking the converse we ___________ the hypothesis and conclusion.

When taking the inverse we _____________ the hypothesis and conclusion.

What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."

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

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If an angle is an acute angle, then the angle is 45 degrees.
What is the CONVERSE?

If an angle is an acute angle, then the angle is 45 degrees.
What is the inverse?

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