(2.2) Definitions and Biconditionals

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 the converse is true.
• When the original statement (conditional statement) and the converse are both true.

What phrase does a biconditional statement use?

• if, then
• if, when
• if and only if
• then, if

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.

Which of the following is a biconditional statement?

• 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.

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

• If an angle has 90 degrees, then it is a right angle.
• If an angle is a right angle, then it has 90 degrees.
• An angle is a right angle if and only if it has 90 degrees.

Tags

CCSS.7.G.B.5

Consider the statement:

If Julie eats tomatoes, then she likes salad.

What is the hypothesis?

• If Julie eats tomatoes

• Julie eats tomatoes

• then she likes salad

• she likes salad

• None of these

Consider the statement:

If Julie eats tomatoes, then she likes salad.

What is the conclusion?

• If Julie eats tomatoes

• Julie eats tomatoes

• then she likes salad

• she likes salad

• None of these

Consider the statement:

If Julie eats tomatoes, then she likes salad.

Is the statement TRUE/FALSE/Cannot be determined?

• True

• False

• Cannot be determined

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Consider the statement:

If Ed lives in Texas, then he lives South of Canada.

Is the statement TRUE/FALSE/Cannot be determined?

• True

• False

• Cannot be determined

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Consider the statement:

If Ed lives in Texas, then he lives South of Canada.

What is the CONVERSE of this statement?

• If Ed lives in Texas, then he lives South of Canada.

• If Ed lives South of Canada, then he lives in Texas.

• Ed lives in Texas

• Ed lives South of Canada

• None of these