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

True. There is no counterexample.

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion? If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. It is snowing heavily, then...

The big test will not be given today.

Look out for the snowplows while driving to school.

The roads will be hard to drive on.

You should call the school to see if school is canceled.

If a mineral is gypsum, it has a hardness of 2. If a mineral has a hardness of 2, it can be scratched with a fingernail. Using the Law of Syllogism, what logically comes next?

If a mineral is gypsum, it can be scratched with a fingernail.

If a mineral can be scratched with a fingernail, then it is gypsum.

If a mineral has a hardness of 2, then it can't be scratched with anything.

It can be scratched with a fingernail.

Geometry Big Ideas

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.A.1, 4.G.A.1, RI.8.1

+7

Standards-aligned

Barbara White

FREE Resource

34 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 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.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

2.

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.

Tags

CCSS.8.G.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

His mom will have to drive him

If Johnny is late to school

Johnny is late to school

Then his mom will have to drive him

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

if they add up to 180 degrees

the angles are supplementary

they add up to 180 degrees

there is no conclusion

Tags

CCSS.7.G.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

Converse

Inverse

Contrapositive

Negation

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

Converse

Inverse

Contrapositive

Negation

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

goldfish

frog

elephant

cat

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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Geometry Big Ideas

34 questions

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

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

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

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

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.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

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

Used to prove that a conjecture is false.

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Geometry Big Ideas

34 questions

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

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

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

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

Conditional: If it does not rain today, then we will have practice.What is this statement called: If it rains today, then we will not have practice.

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.

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

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

Used to prove that a conjecture is false.

Using the statements:If it is Friday, then I will get paid.It is Friday.Write the conclusion.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

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.

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.