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

Which is the correct if-then statement for: "vertical angles share a vertex."

If they are vertical angles, then they share a vertex.

If they share a vertex, then they are vertical angles.

What conclusion can be drawn from the following statements? If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic.

If the sun is shining, then we will go on a picnic.

If the sun is shining, then it is a beautiful day.

If it is a beautiful day, then the sun is shining.

If we go on a picnic, then the sun is shining.

What conclusion can be drawn from the following statements? If the stereo is on, then the volume is loud. If the volume of the stereo is loud, then the neighbors will complain.

If the stereo is on, then the neighbors will complain.

If the neighbors complain, then the stereo will be loud.

If the stereo is volume is loud, then the stereo is on.

If the stereo is on, then the volume is loud.

Inductive Reasoning means...

Testing and observing patterns to make conjectures

What is the converse of the statement: If an animal is a dog, then it does not moo.

If an animal does not moo, then it is a dog

If an animal is not a dog, then it does moo

If an animal can moo, then it is not a dog

An animal is a dog if and only if it can moo

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.

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.

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

Use Law of Syllogism to make a conclusion. If the perimeter of a square is 20 ft, then the length of a side is 5 ft. If the length of a side of a square is 5 ft, then the area is 25 ft 2 .

If the perimeter of a square is 20 ft, then the area is 25 ft 2

If the side of a square is 5 ft, then the perimeter is 20 ft.

If the area of a square is 25 ft 2 , then the side length is 5 ft.

If the are of a square is 25 ft 2 , then the perimeter is 20 ft.

If it is Tuesday, then you will go bowling. You go bowling.

It is Tuesday so you will go bowling.

Write the following as a conditional statement: "angles that form a linear pair, are supplementary."

If angles form a linear pair, then they are supplementary.

If angles are supplementary, then they form a linear pair.

Make a conclusion and state the law. If two angles are supplementary, then they add to 180 degrees. Angle 1 and Angle 2 are supplementary.

Angle 1 and Angle 2 add to 180 degrees. Law of Detachment

Angle 1 and Angle 2 add to 180 degrees. Law of Syllogism

Angle 1 and Angle 2 add to 180 degrees. Inductive Reasoning

Make a conclusion and state the law. If two angles are vertical, then they are congruent. If two angles have the same measure, then they are congruent.

If angles are vertical, then they have the same measure. Law of Syllogism

If two angles are vertical, then they have the same measure. Law of Detachment

If two angles are vertical, then they are congruent. Law of Syllogism

Make a conclusion and state the law. If your father buys new gardening gloves, then he will work in his garden. If he works in his garden, then he will plant tomatoes.

If your father buys new gardening gloves, then he will plant tomatoes. Law of Syllogism

If your father buys new gardening gloves, then he will plant tomatoes. Law of Detachment

If your father buys new gardening gloves, then he will plant tomatoes. Inductive Reasoning

Geometry Logic Review

Mathematics

8th - 12th Grade

CCSS covered

Used 3+ times

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31 questions

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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 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.

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

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

MULTIPLE CHOICE QUESTION

3 mins • 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.4.MD.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

goldfish

frog

elephant

cat

Tags

CCSS.L.6.5B

CCSS.L.8.5B

CCSS.W.11-12.2D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

70⁰

45⁰

120⁰

True. There is no counterexample.

Tags

CCSS.7.G.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

-2

True. There is no counterexample.

Tags

CCSS.6.NS.C.5

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Geometry Logic Review

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

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

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."

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

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

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

True or False: a counterexample is an example that makes a definition or conjecture incorrect

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

Which is the correct if-then statement for: "vertical angles share a vertex."

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