Biconditionals Practice

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

• Sally goes to the park.
• Sally will fall off the swing.
• Parks don't have swings that Sally goes to.
• If Sally falls off the swing, she goes to the park.

Write the statement below as a conditional statement.

Vertical Angles are congruent

• Two angles are vertical if and only if they are congruent.

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

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

Tags

CCSS.HSG.CO.C.9

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

• if

• then

• if and only if

• always

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

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

If Jake lives in Ramsey, then he lives in New Jersey

• True; If Jake lives in Ramsey, then he lives in New Jersey.

• True; If Jake lives in New Jersey, then he lives in Ramsey.

• False; If Jake lives in Ramsey, then he lives in New Jersey.

• False; If Jake lives in New Jersey, then he lives in Ramsey.

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.

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

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

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