conditional and biconditional statements

How do you form the converse of a conditional statement?

• switch the hypothesis and conclusion

• negate the hypothesis and conclusion

• switch and negate the hypothesis and conclusion

• join the hypothesis and conclusion with iff

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

• conditional has to be true
• converse of the conditional has to be true
• all the above
• none of the above

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

  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.

Tags

CCSS.HSG.CO.C.9

What is the hypothesis of the given Conditional Statement?

• Jimmy will go to Orlando
• Jimmy goes on vacation
• Jimmy will go to Orlando
• Who is Jimmy?

Tags

CCSS.HSS.CP.A.3

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.

What is the conclusion to this?

• Clarkson will be the coolest
• Clarkson will not be the coolest
• Clarkson gives us Mountain Dew
• Clarkson will not give us Mountain Dew

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.3

A shape is a quadrilateral if and only if it has fours sides. Therefore, which of the following statements must be true?

• If it is a quadrilateral then it has four sides.

• If it has fours sides then it is a quadrilateral.

• If it does not have fours sides then it is a quadrilateral

• If it has four sides then it is not a quadrilateral.

Tags

CCSS.2.G.A.1