Reasoning and Proof

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

Tags

CCSS.HSS.CP.B.6

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.

Which of the following statements is written in biconditional form?

• If you do not vote, then you are not at least 18 years old.

• You can vote if and only if you are 18 years old.

• If you are 18 years old, then you can vote.

• If you can vote, then you are 18 years old.

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

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

• Odd
• Even
• Positive
• Negative

Tags

CCSS.7.NS.A.2

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• A dog is a Siberian Husky.
• I have a dog.

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

When can a biconditional statement be true?

• When the inverse and the converse are both true
• When the original statement (conditional statement) & the contrapositive are both true.
• When only the converse is true.
• When the original statement (conditional statement) and the converse are both true.

How many blocks would be in the next picture?

• 14
• 9
• 10
• 12

Tags

CCSS.K.CC.B.4

CCSS.K.CC.B.5

• A
• B
• C
• D

Tags

CCSS.8.EE.C.7B