Logic Review

How are you feeling today?

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What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

• Tomorrow is Wednesday.

• We have school.

• Today is Tuesday.

• We do not have school.

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.

Which of the following is the inverse to the statement: 
"If you diet and exercise, then you will lose weight."

• If you don't diet and exercise, then you will not lose weight.
• If you don't diet and exercise, then you will lose weight.
• If you lose weight, then you dieted and exercised.
• If you don't lose weight, then you diet and exercise. 

Tags

CCSS.8.G.B.8

p → q

• conditional 
• converse
• inverse 
• contrapositive

~p → ~q

• conditional
• converse
• inverse
• contrapositive

q → p

• conditional
• converse
• inverse
• contrapositive

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

~q → ~p

• conditional
• converse
• inverse
• contrapositive

This symbol, ↔, means?

• and
• or 
• if and only if
• implies

Tags

CCSS.HSS.CP.A.1

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• A rectangle is also a quadrilateral.