U2L3- Biconditionals and Definitions

What is the converse of the statement:

"If a number is divisible by 20, then it is even."

• A number divisible by 20 is even.

• If a number is even, then it is divisible by 20.

• If a number is not divisible by 20, then it is not even.

• If a number is not even, then it is not divisible by 20.

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

• conditional has to be true

• converse of the conditional has to be true

• both of these

• none of these

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.

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.

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.

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.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is the converse to this statement?

• If it isn't dark outside, then it is not night.

• If it is night, then it is dark outside

• If it is not night, then it is not dark outside.

• It is night.