Honors 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

r:  it is raining
s: sidewalks are wet
Write "If it is not raining then the sidewalks are not wet in symbolic form.

• ∼r→∼s
• ∼s→r
• r→s
• s→r

p→q
What is the contrapositive?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

Tags

CCSS.HSS.CP.A.3

p→q
What is the converse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

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

p→q
What is the inverse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

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