Biconditional Statements

What has to happen in order to write a biconditional statement?

• The conditional has to be true

• The converse of the conditional has to be true

• BOTH must be true.

• NEITHER must be true.

What phrase does a biconditional statement use?

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

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.HSG.CO.A.1

Rewrite the following statement as a biconditional:

"Supplementary angles add up to 180"

• If two angles add up to 180^o then they are supplementary.

• You can't it is conditional.

• Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.

• If two angles sum does not equal 180^o then they are not supplementary.

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.

Which conditional statement has a false biconditional statement?

• If two lines are parallel, then they never touch.

• If two angles are supplementary, then they add up to 180.

• If two angles are vertical, then they are congruent.

• If a number is divisible by 2, then the number is even.

Which conditional statement has a false biconditional?

• If a figure is a square, then it has 4 sides.

• If two angles are congruent, then they have the same measure.

• If two lines never touch, then the lines are parallel.

• If you are vegetarian, then you do not eat meat.

Tags

CCSS.HSS.CP.B.6

Which of the following is the converse of the statement,

"If it is sunny out, then Sara wears sunglasses."

• If Sara wears sunglasses, then it is sunny out.

• No converse

• If Sara does not wear sunglasses, then it is not sunny out.

• If it is not sunny out, then Sara does not wear sunglasses.

Which is a counterexample for the following conditional:

If an electronic device has a screen then it is a television.

• oven

• cell phone

• computer mouse

• keyboard

Tags

CCSS.HSS.CP.A.5

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.