Geometry: Logic Statements

When taking the converse we ___________ the hypothesis and conclusion

• negate
• switch
• highlight
• switch and negate

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

When taking the inverse we _____________ the hypothesis and conclusion

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

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

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

• it is a polygon
• it is a triangle
• it has three sides
• a triangle is a polygon

Tags

CCSS.HSG.CO.C.10

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

• it is a triangle
• it is a polygon
• it has three sides
• the polygon is a triangle

Tags

CCSS.2.G.A.1

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

• Converse
• Inverse
• Contrapositive
• Negation

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

Is the converse to this true?

• Its false.  Parallel lines intersect.
• True -- Parallel lines will not intersect if they are parallel.
• False.  
• What are parallel lines?

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

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 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 converse.

• 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.