Geometry - Logic and Reasoning

What is a counterexample to the following statement?

All odd numbers are divisible by 3.

• 9

• 12

• 21

• 25

What is the shaded section of the Venn Diagram?

• A∪B

• ~B

• A∩B

• ~(A∩B)

Tags

CCSS.HSS.CP.A.1

Let p = “There is a table”

Let q = “There is no chair”

Statement: “If there is a chair, then there is a table.”

What is the above statement in symbolic form?

• p→q

• ~q→~p

• ~p→~q

• ~q→p

Let r be “The two angles are supplementary”

Let s be “The angle measures do not add up to 180 degrees”

Statement: “If two angles are supplementary, then the angles measures add up to 180 degrees”

What is the statement in symbolic form?

• r→~s

• ~r→~s

• r→s

• ~s→r

What law is being shown below?

If it rains, then it pours.

It rains.

Therefore, it pours.

• The Law of Contrapositives

• The Law of Detachment

• The Law of Parallel Lines

• The Law of Syllogism

Let p = “I do not study”

Let q = “I have good grades”

Statement = “If I do not study, then I do not have good grades.”

What is the above statement in symbolic form?

• ~q→~p

• ~p→~q

• q→~p

• p→~q

Tags

CCSS.HSS.CP.A.1

What is the contrapositive of the following?

Statement: If you do your homework, then you will have some ice cream.

• If you do not have some ice cream, then you did not do your homework.

• If you do not do your homework, then you will not have some ice cream.

• If you have some ice cream, then you did your homework.

• You do your homework if and only if you have some ice cream.

How many people had trucks?

• 50

• 120

• 30

• 80

Tags

CCSS.HSS.ID.B.5

What symbol is used to denote "intersection"?

• ∩

• ⋀

• ~

• ∪

Tags

CCSS.HSS.CP.A.1

Look at the Venn Diagram, what is a true statement? Choose all the apply.

• All circles are polygons.

• Some polygons are triangles

• Polygons are never circles

• Circles and polygons are geometric shapes

• Triangles are always polygons

Tags

CCSS.3.G.A.1