Biconditional Statements

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

• x = 4

• x = -2

• x = 2

• x = -4

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

• if

• then

• if and only if

• always

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

• If it is not wet, then it is not water.

• If it is wet, then it is water.

• It is water if and only if (iff) it is wet.

• There is no biconditional statement.

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

• If there is not lightning, then there is not thunder.

• If there is thunder, then there is lightning.

• There is lightning if and only if (iff) there is thunder.

• There is no biconditional statement.

Tags

CCSS.HSS.CP.A.3

A biconditional statement..

• is an "if/then" statement

• uses the phrase "if and only if"

• is the first part of a statement

• is the second part of a statement

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

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.

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.

In order for a statement to be biconditional, both the conditional and converse statements need to be ____.

• true

• false