Converse, Inverse and Contrapositive

When taking the converse of a statement we_____ the hypothesis and the conclusion.

• negate
• highlight
• switch
• switch and negate

If it is a triangle, then it has three sides. What is the conclusion?

• It is a triangle
• It has three sides
• It is a polygon
• It sums to 180

Tags

CCSS.HSG.CO.C.10

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

• negate
• switch
• switch and negate
• keep 

Tags

CCSS.HSF.BF.B.4

Conditional: If it does not rain, then we will have practice.
What is "If it rains today, then we will have not practice", called

• Inverse
• Converse
• Contrapositive
• Counterexample

Tags

CCSS.HSS.CP.A.3

Given: If I have a Siberian Husky, then I have a dog
Identify the contrapositive

• If I do not have a Siberian Husky, then I do not have a dog
• If I do not have a dog, then I do not have a Siberian Husky.
• If I have a dog, then I have a Siberian Husky
• If I have a dog, then I don't have a Siberian Husky

If two angles are supplementary, then they have a sum of 180. Is the inverse true?

• Yes, if two angles are not supplementary, then they do not add to 180
• no, if angles don't add to 180, they can still be supplementary
• no, Supplementary angles add to 90
• yes, supplementary angles add to less than 180

When taking the converse we ___________ the hypothesis and conclusion.

• negate
• switch
• leave the same
• switch and negate

What does this mean?

• Conditional 
• Inverse 
• Converse 
• Contrapositive 

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.HSG.CO.C.9