2.4 Biconditional Statements

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.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

• Spencer is happy
• Spencer is not happy
• Spencer lost his game.
• Spencer is not happy if he does not win his soccer game.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

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

What does  
~q -> ~p symbolize?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

Conditional: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.3

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.

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.

When taking the inverse we _____________ the hypothesis and conculsion

• negate
• switch
• switch and negate
• keep the same

Tags

CCSS.HSF.BF.B.4

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.8.G.A.5

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

• if

• then

• if and only if

• always