Logic Review

When taking the converse we ___________ the hypothesis and conculsion

• negate
• switch
• highlight
• switch and negate

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

When taking the inverse we _____________ the hypothesis and conculsion

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

Tags

CCSS.L.2.1F

CCSS.L.4.1C

CCSS.L.1.1J

p→q
What is the contrapositive?

• 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

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

Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square.

• If WXYZ is not a square, then it does not have four right angles.
• If WXYZ has four right angles, then it is a square.
• If WXYZ is not a square, then it has four right angles.
• WXYZ has four right angles.

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

• you can buy a new CD
• you cannot buy a new CD
• no conclusion can be made
• you earn more than $14

What is the if-then statement that follows by the Law of Syllogism? 
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft².

• If the side of a square is 5 ft, then the perimeter is 20 ft.
• If the perimeter of a square is 20 ft, then the area is 25 ft²
• If the area of a square is 25 ft², then the side length is 5 ft. 
• If the are of a square is 25 ft², then the perimeter is 20 ft.

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse
• Inverse
• Contrapositive
• Negation