Biconditional Statements

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

Write the conditional statements as a biconditional statement:

1) If B is between A and C, then AB+BC=AC.

2) If AB+BC=AC, then B is between A and C.

• Segment Addition Postulate

• B is between A and C when AB+BC=AC if and only if Segment Addition Postulate.

• B is between A and C if and only if AB+BC=AC.

Determine if the statement is true or false. Then write the converse.

If John lives in Mahwah, then he lives in New Jersey.

• True; If John lives in Mahwah, then he lives in New Jersey.

• True; If John lives in New Jersey, then he lives in Mahwah.

• False; If John lives in New Jersey, then he lives in Mahwah.

Identify the hypothesis:

If an angle measures 90 $\degree$ , then it is a right angle.

• if an angle measures 90 $\degree$  

• an angle measures 90 $\degree$  

• then it is a right angle

• it is a right angle

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Identify the conclusion:

If an angle measures 90 $\degree$ , then it is a right angle. 

• if an angle measures 90 $\degree$  

• an angle measures 90 $\degree$  

• then it is a right angle

• it is a right angle

Identify the converse:

If an angle measures 90 $\degree$ , then it is a right angle. 

• If an angle measures 90 $\degree$ , then it is a right angle. 

• If an angle is a right angle, then it measures 90 $\degree$ .

• If an angle does not measure 90 $\degree$ , then it is not a right angle.

Determine the biconditional statement for the following:

If an angle measures 90 $\degree$ , then it is a right angle.
If an angle is a right angle, then it measures 90 $\degree$ .

• An angle is a right angle if and only if it measures 90 $\degree$ .

• When an angle measures 90 $\degree$ , then it is a right angle.

• An angle cannot be a right angle unless it measures 90 $\degree$ .

Tags

CCSS.HSG.CO.A.1

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