2.3 Logic

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

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

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

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

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

• If angles are congruent.
• Angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.HSG.SRT.B.5

What is the converse of the following statement?
If it is Saturday, then the school is closed

• If the school is closed, then it is Saturday.
• If it is not Saturday, then the school is not closed.
• If the school is not closed, then it is not Saturday.

Tags

CCSS.HSS.CP.A.3

Original Statement: 
      If I am hungry then I will eat a whole pizza.
New Statement:
     If I am not hungry then I will eat a whole pizza.

• Converse
• Inverse
• Contrapositive
• None of the above

Which is the converse of this statement

• If it's Geometry, then it's the best class

• If it's the best class then the class is Geometry

• Geometry is not the best class

• If you're not in geometry, then you're not in the best class

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

If two lines in the same plane are parallel, then they will not intersect.

Is the converse to this true?

• Its false. Parallel lines intersect.

• True -- Parallel lines will not intersect.

• False.

• What are parallel lines?

Tags

CCSS.HSG.CO.A.1

Is the inverse of this true?

• Its true.  If two angles are not supplementary, then they do not add up to 180 degrees.
• Its false.  If angles don't add up to 180, they can still be supplementary.
• Its false.  Supplementary angles add up to 90 degrees.
• Its true.  Supplementary angles can add up to less than 180 degrees.

Tags

CCSS.7.G.B.5

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

• 2/3
• 4/5
• 1/2
• 3/2

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B