2.3 Biconditional Statements

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

• conditional has to be true
• converse of the conditional has to be true
• all the above
• none of the above

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

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.

  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.

Tags

CCSS.HSG.CO.C.9

What is the biconditional that matches the statement below: An even number is a number that is divisible by 2.

• A number is even if and only if it is divisible by 2.
• If a number is divisible by 2, then it is even.
• If a number is even, then it is divisible by 2.

This symbol, ↔, means?

• and
• or 
• if and only if
• implies

Tags

CCSS.HSS.CP.A.1

Select the conditional statement of the biconditional statement:

I am a junior if and only if I am in 11th grade.

• I am a junior

• If I am a junior, then I am in 11th grade.

• I am in 11th grade

Can a true biconditional statement be written from the conditional "If a shape is a triangle, then it has 3 sides."

• Yes

• No

Tags

CCSS.HSG.CO.A.1

What counterexample makes the following biconditional false?

"It is Halloween if and only if it is October 31."

• This is a true biconditional, so it has no counterexamples.

• It is not October 31.

• I don't celebrate Halloween.

• It is October 30.