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.

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.

If I go to the movie, then I’ll eat popcorn. If I eat popcorn, then I’ll enjoy the movie.

Yes, using the Law of Syllogism

Yes, using the Law of Detachment

If I miss my bus, then I’ll be late for school. I miss my bus.

Yes, using the Law of Detachment

Yes, using the Law of Syllogism

If this wind keeps up, then we will lose some trees. We lose some trees.

Yes, using the Law of Detachment

Yes, using the Law of Syllogism

Which statement is the converse of the given statement? If you make an insurance claim, then your rates will go up.

If your insurance rates go up, then you have made an insurance claim.

If your insurance rates do not go up , then you have not maid a claim.

If you do not make an insurance claim, then your rates will not go up.

If you make an insurance claim, then your rates will not go up.

"If you win, Then I lose". What is the inverse?

If you dont win, then i dont lose

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid." What is the contrapositive of this statement?

If a polygon is not a trapezoid, then it is not a quadrilateral.

If a polygon is a trapezoid, then it is a quadrilateral.

If a polygon is not a quadrilateral, then it is not a trapezoid.

A rectangle is also a quadrilateral.

Use the law of syllogism to draw a conclusion from the two given statements: Statement 1: If you exercise regularly, then you have a healthy body Statement 2: If you have a healthy body, then you have more energy

If you exercise regularly, then you have more energy

If you do not have a healthy body, then you do not exercise regularly

Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If I study for one hour each day, then I will score well on the exam Statement 2: I will score well on the exam

I do not study for 1 hour each day

If I do well on the exam, I studied for 1 hour each day.

Determine whether the stated conclusion is valid and if valid, what makes it valid Given : If an animal is a dog, then they like biscuits. Sammy is a dog. Conclusion : Sammy likes biscuits.

Valid because Sammy is a Great Dane.

Which is a valid conclusion from these statements? If a quadrilateral is a rhombus, then it is a parallelogram. If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Opposite angles of a rhombus are congruent

Opposite angles of a quadrilateral are congruent

Every quadrilateral is a rhombus

Every parallelogram is a rhombus

2.3 Venn Diagrams & Logic Review

Authored by Trayce Coe

Mathematics

8th - 10th Grade

CCSS covered

Used 1+ times

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36 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a conditional statement that can be formed this diagram?

If it is a rose, then it does not have thorns

If it is a rose, then it has thorns

If it has thorns, then it is a rose.

If it has thorns, then it is not a rose.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a conditional statement that can be formed this diagram?

If angles are linear pairs, then they are supplementary

If angles are supplementary, then they are linear pairs

If supplementary angles are linear pairs, then their are two angles

If angles are not linear pairs, then they can be supplementary.

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a conditional statement that can be fromed this diagram?

If the animal is a primate, then it is not a gorilla.

If the animal is a primate, then it is a gorilla.

If the animal is a gorilla, then it is a primate.

If the animal is not a primate, then it is a gorilla.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

According to the Venn Diagram, which of the following statements is true?

Some dogs have short hair and curly hair.

No dogs have curly hair.

All dogs have short hair and curly hair.

No dogs have curly hair and short hair.

Tags

CCSS.5.G.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?

Not all motorized vehicles are automobiles.

Not all automobiles are motorized vehicles

Some motorized vehicles are not automobiles.

Automobiles are motorized vehicles.

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What does this mean?

Conditional Statement

Inverse Statement

Converse Statement

Contrapositive Statement

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2.3 Venn Diagrams & Logic Review

What is a conditional statement that can be formed this diagram?

What is a conditional statement that can be formed this diagram?

What is a conditional statement that can be fromed this diagram?

According to the Venn Diagram, which of the following statements is true?

Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.Which is not a valid conclusion?

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

What does this mean?

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

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

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

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Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?

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