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.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Transitive Property of Congruence

Reflexive Property of Congruence

Symmetric Property of Congruence

What is a conjecture?

A statement believed to be true based on observations.

An example which disproves an hypothesis.

the performance of tricks that are seemingly magical

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

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

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 do not have a dog

If I have a dog, then I have a Siberian Husky

If I have a dog, then I don't have a Siberian Husky

Reasoning and Proofs (Honors Geometry)

Authored by Quiani Reid

Mathematics

10th Grade

CCSS covered

Used 166+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

You will pass your test

You do your homework

If you do your homework you will pass your test

You fail your test

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.

If an angle does not measure 56 degrees, then it is not an acute angle.

If an angle is an acute angle, then it measures 56 degrees.

If an angle is not an acute angle,then the angle does not measure 56 degrees.

The angle measures 56 degrees.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.

quadrilateral

rectangle

rhombus

square

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Finish the conjecture. The product of two odd numbers is ________

Odd

Even

Positive

Negative

Tags

CCSS.7.NS.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

Converse

Inverse

Contrapositive

Negation

Tags

CCSS.HSS.CP.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How many blocks would be in the next picture?

Tags

CCSS.K.CC.B.4

CCSS.K.CC.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given
“If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid statement?

If Steve sits on the bench then Jason plays basketball.

If Ronald starts at center then Jason plays basketball.

If Steve sits the bench then Ronald does not start at center.

If Jason plays basketball then Ronald starts at center.

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Reasoning and Proofs (Honors Geometry)

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.

Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.

Finish the conjecture. The product of two odd numbers is ________

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

How many blocks would be in the next picture?

Given
“If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid statement?

If you extended the pattern, how many dots would come next?

For the inverse we _________ the hypothesis and conclusion

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Reasoning and Proofs (Honors Geometry)

What is the hypothesis of the following conditional:If you do your homework, then you will pass your test.

What is the converse of the following conditional:If an angle measures 56 degrees, then it is an acute angle.

Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.

Finish the conjecture. The product of two odd numbers is ________

Conditional: If Mary gets married, then the reception will be at the country club.What is this statement: If the reception is not at the country club, then Mary won't be getting married.

How many blocks would be in the next picture?

Given “If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.” Which of the following is a valid statement?

If you extended the pattern, how many dots would come next?

For the inverse we _________ the hypothesis and conclusion

Using the Law of Detachment, what can you conclude?If you earn more than $14, then you can buy a new CD.You earn $15.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

Given
“If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid statement?

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.