Quiz about SCCS Geometry Logic Practice

Question 1

Using the statement:
If it is Friday then I will get paid.
Write the conclusion

Accepted Answer

I will get paid

Answer

If it is Friday

Answer

it is Friday

Answer

then I will get paid

Question 2

Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.

Accepted Answer

If your insurance rates go up, then you have made an insurance claim.

Answer

If your insurance rates do not go up , then you have not maid a claim.

Answer

If you do not make an insurance claim, then your rates will not go up.

Answer

If you make an insurance claim, then your rates will not go up.

Question 3

Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.

Accepted Answer

If a person is not a musician, then the person is not a banjo player.

Answer

If a person is not a banjo player, then the person is a musician.

Answer

If a person is not a banjo player, then the person is not a musician.

Answer

If a person is a musician, then the person is a banjo player.

Question 4

For the inverse we _________ the hypothesis and conclusion

Accepted Answer

negate

Answer

switch

Answer

switch and negate

Question 5

For the contrapositive we _________ the hypothesis and conclusion

Accepted Answer

switch and negate

Answer

switch

Answer

negate

Question 6

Let V represent Vehicles. Let M represent motorized vehicles, and let A represent automobiles.
Which is not a valid conclusion?

Accepted Answer

Not all automobiles are motorized vehicles

Answer

Not all motorized vehicles are automobiles.

Answer

Some motorized vehicles are not automobiles.

Answer

Automobiles are motorized vehicles.

Question 7

What does this mean?

Accepted Answer

Inverse Statement

Answer

Conditional Statement

Answer

Converse Statement

Answer

Contrapositive Statement

Question 8

What is this?

Accepted Answer

Conditional Statement

Answer

Inverse

Answer

Converse

Answer

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

Question 9

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

Accepted Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 10

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

Accepted Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 11

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

Accepted Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 12

What can be concluded from the following statements?
If Mike rakes leaves, then he bags them .
If Mike bags the leaves then he mows the lawn.

Accepted Answer

If Mike does not mow the lawn, then he did not rake the leaves.

Answer

If Mike mows the lawn then he bags the leaves.

Answer

If Mike bags the leaves then he rakes.

Answer

If Mike mows the lawn then he bags the leaves.

Question 13

What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.

Accepted Answer

If Tom goes fishing then he catches a fish.

Answer

If Tom brings his pole then he goes fishing

Answer

If Tom catches a fish then he brought his pole.

Answer

If Tom brings his pole then he catches a fish.

Question 14

According to the Venn Diagram, which of the following statements is true?

Accepted Answer

Some dogs have short hair and curly hair.

Answer

No dogs have curly hair.

Answer

All dogs have short hair and curly hair.

Answer

No dogs have curly hair and short hair.

Question 15

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

Accepted Answer

the angles are supplementary

Answer

if they add up to 180 degrees

Answer

they add up to 180 degrees

Answer

there is no conclusion

Question 16

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

Accepted Answer

Johnny is late to school

Answer

His mom will have to drive him

Answer

If Johnny is late to school

Answer

Then his mom will have to drive him

Question 17

If you draw a black card, then you get one point.  Else, your opponent gets one point. What happens if you draw this card?

Accepted Answer

You get one point.

Answer

You get two points.

Answer

Your opponent gets one point.

Answer

You both get one point.

Question 18

In which group of statements is the conclusion not justified by the previous pair of statements?

Accepted Answer

All fish live in the water. Some snakes live in the water. Some snakes are fish.

Answer

All cooks work in the kitchen. Mary is a cook. Mary works in the kitchen.

Answer

All dinosaurs are extinct. A triceratops is a dinosaur. All triceratops are extinct.

Answer

All squares are rectangles. All rectangles are parallelograms. All squares are parallelograms.

Question 19

Given: If I get an A on my test then my mom will buy me a TV.
I got a 94 on my test.
what conclusion can be made.

Accepted Answer

My mom will buy me a TV.

Answer

I am smart.

Answer

I got an A on my test.

Answer

I must have cheated.

Question 20

Is the following argument best classified as deductive or inductive?
All dogs bark. Fido is a dog, so he barks.

Accepted Answer

deductive

Answer

inductive

Question 21

Unscramble the logic chain to find its conclusions.

Accepted Answer

If you have a pen pal then you mail a letter.

Answer

If you run errands then your have spare time.

Answer

If you have a pen pal, then you have spare time.

Answer

If you have spare time then you mail a letter.

Question 22

What is a conditional statement that can be fromed this diagram?

Accepted Answer

If the animal is a primate, then it is a gorilla.

Answer

If the animal is a primate, then it is not a gorilla.

Answer

If the animal is a gorilla, then it is a primate.

Answer

If the animal is not a primate, then it is a gorilla.

Question 23

Write the converse of the statement:
If an animal is a dog then it does not moo.

Accepted Answer

If an animal does not  moo then it is a dog

Answer

If an animal is not a dog then it does moo

Answer

If an animal can moo then it is not a dog

Answer

An animal is a dog if and only if it can moo

Question 24

Original Statement:
If I am hungry then I will eat a whole pizza.
New Statement:
If I am not hungry then I will eat a whole pizza.

Accepted Answer

None of the above

Answer

Converse

Answer

Inverse

Answer

Contrapositive

Question 25

Write a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

Accepted Answer

cellular phone

Answer

television

Answer

computer mouse

Answer

keyboard

Question 26

What is a conditional statement that can be formed this diagram?

Accepted Answer

If angles are linear pairs, then they are supplementary

Answer

If angles are supplementary, then they are linear pairs

Answer

If supplementary angles are linear pairs, then their are two angles

Answer

If angles are not linear pairs, then they can be supplementary.

Question 27

Unscramble the logic chain to find its conclusions.

Accepted Answer

If I finish the dishes, then I'll have a good time.

Answer

If I see my friends, then I'll go to the party

Answer

If I go the party then I'll have a good time.

Answer

If I finish the dishes, then I'll see my friends.

Question 28

Unscramble the logic chain to find its conclusions.

Accepted Answer

If the temperature goes below 55⁰, then you use lotion on your skin.

Answer

If the air gets dry, then you use lotion on skin.

Answer

If the heat goes on, then your skin cracks.

Answer

If the temperature gets below 55⁰, then your skin cracks.

Question 29

What is a conditional statement that can be formed this diagram?

Accepted Answer

If it is a rose, then it has thorns

Answer

If it is a rose, then it does not have thorns

Answer

If it has thorns, then it is a rose.

Answer

If it has thorns, then it is not a rose.

Question 30

If the inverse statement is true then you can conclude that the converse statement is true.

Accepted Answer

False

Answer

True

Question 31

If the condition statement is true then you can conclude that the contrapositive statement is true.

Accepted Answer

true

Answer

false

Question 32

If the inverse statement is false then you can conclude that the converse statement is false.

Accepted Answer

true

Answer

false

Question 33

Which is a biconditional statement for: even numbers are divisible by two.

Accepted Answer

A number is even iff it is divisible by 2.

Answer

2 is even iff it is divisible.

Answer

If a number is even, then it is divisible by 2.

Answer

Iff an even number is divisible by 2.

Question 34

Which is a biconditional statement for: triangles have 3 sides

Accepted Answer

A polygon has 3 sides iff it is a triangle.

Answer

If a polygon is a triangle, then it has 3 sides.

Answer

A triangle has 3 sides iff it is a polygon.

Answer

A triangle is a polygon iff it has 3 sides.

Question 35

State the reason for step 2:

Accepted Answer

Angle Bisector Definition

Answer

Subtraction property

Answer

Angle Addition Property

Answer

Substitution property

Question 36

State the reason for step 6:

Accepted Answer

Division property

Answer

Prove

Answer

Subtraction property

Answer

Distributive Property

Question 37

State the reason for step 4:

Accepted Answer

Distributive Property

Answer

substitution property

Answer

subtraction property

Answer

Division property

SCCS Geometry Logic Practice

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