Logic: Conditional Statements

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 converse of this statement?

• 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.

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

• A rectangle is also a quadrilateral.

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

What is the inverse of this statement?

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

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

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

• A rectangle is also a quadrilateral.

Tags

CCSS.HSG.CO.A.1

Write the following statement in if-then form.
All vertical angles are congruent.

• If two angles are vertical, then they are congruent.
• If two angles are congruent, then they are vertical.

Tags

CCSS.7.G.B.5

What does (~) mean?

• To negate

• To make positive

• To be nuetral

• Therefore

Tags

CCSS.HSS.CP.A.1

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.