Homework Converse, Inverse, Contrapositive and Biconditional

What is the converse to this statement?

• If it isn't dark outside, then it is not night.

• If it is night, then it is dark outside

• If it is not night, then it is not dark outside.

• It is night.

What is the inverse?

If a number can be divided by 2, then it is even.

• If a number cannot be divided by 2, then it is not even.

• If a number is not even, then it cannot be divided by 2

• If a number can be divided by 2, then it is odd

• If a number is even, then it can be divided by 2.

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.

• If the food is not in the oven, then it is not cooked.

• If the food is cooked, then its in the oven.

• If food is not in the oven, then its cooked.

Tags

CCSS.HSS.CP.A.1

Which is the converse of the statement?

• If you are not a guitar player, then you are not a musician.

• If you are a musician, then you are a guitar player.

• If you are a guitar player, then you are not a musician.

• If you are not a musician, then you are not a guitar player.

When taking the inverse we _____________ the hypothesis and conclusion.

• negate
• switch
• switch and negate
• leave the same

Tags

CCSS.HSF.BF.B.4

If Jenny buys a guitar, then she will not buy a keyboard.

What is this?

If Jenny does buy a keyboard, then she will not buy a guitar.

• Converse

• Inverse

• Contrapositive

• Negation

Given the conditional statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

• If Max isn't grounded then he gets good grades.

• If Max doesn't get good grade then he will be grounded.

• If Max gets grounded then he doesn't get good grades.

• If Max gets good grades, the he will get grounded.

What is the truth value of the converse of:

"If a number is divisible by 20, then it is even."

• True

• False

• Cannot be determined

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

• television
• cell phone
• computer mouse
• keyboard

Test the statement below to see if it is reversible. If so, write it as a biconditional.

Complementary angles are two angles with measures that have a sum of 90.

• Reversible; If two angles are complementary, then the sum of their measures is 90.

• Reversible; Two angles are complementary if and only if the sum of their measures is 90.

• Not reversible.

Tags

CCSS.HSG.CO.A.1