Logic statements

p → q

• conditional 
• converse
• inverse 
• contrapositive

~p → ~q

• conditional
• converse
• inverse
• contrapositive

q → p

• conditional
• converse
• inverse
• contrapositive

Tags

CCSS.HSS.CP.B.6

~q → ~p

• conditional
• converse
• inverse
• contrapositive

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• 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 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 the statement, "If I have three cats, then I am insane”, write the contrapositive of the statement.

• If I have three cats, then I am insane.

• If I am not insane, then I do not have three cats.

• If I am insane, then I have three cats.

• If I do not have three cats, then I am not insane.

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• it means not
• it means so-so
•  it means and
•  it means or

Tags

CCSS.HSS.CP.A.1