Quiz about Conditional Statement Quiz

Question 1

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 2

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 3

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

Accepted Answer

I have a Siberian Husky.

Answer

If I have a Siberian Husky.

Answer

Then I have a dog.

Answer

I have a dog.

Question 4

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

Accepted Answer

I have a dog.

Answer

If I have a Siberian Husky.

Answer

I have a Siberian Husky.

Answer

Then I have a dog.

Question 5

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

Accepted Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

"If angles are not congruent, then the measures of the angles are not equal."

Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 6

Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

Accepted Answer

"If angles are not congruent, then the measures of the angles are not equal."

Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 7

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

Accepted Answer

If the measures of the angles are not equal, then the angles are not congruent.

Answer

If the measures of the angles are equal, then the angles are congruent.

Answer

If angles are not congruent, then the measures of the angles are not equal.

Answer

If the angles are not congruent, then the measure of the angles are equal.

Question 8

When can a biconditional statement be true?

Accepted Answer

When the original statement (conditional statement) and the converse are both true.

Answer

When the inverse and the converse are both true

Answer

When the original statement (conditional statement) & the contrapositive are both true.

Answer

When the converse is true.

Question 9

If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?

Accepted Answer

3/2

Answer

2/3

Answer

4/5

Answer

1/2

Question 10

Rewrite the following statement as a biconditional: "Supplementary angles add up to 180"

Accepted Answer

Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.

Answer

If two angles add up to 180^o then they are supplementary.

Answer

You can't it is conditional.

Answer

If two angles sum does not equal 180^othen they are notsupplementary.

Question 11

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

Accepted Answer

cell phone

Answer

television

Answer

computer mouse

Answer

keyboard

Question 12

an example that proves that a conjecture or statement is false

Accepted Answer

counterexample

Answer

conclusion

Answer

inductive reasoning

Answer

hypothesis

Question 13

the process of reasoning that a rule or statement is true because specific cases are true (think observation)

Accepted Answer

inductive reasoning

Answer

deductive reasoning

Answer

biconditional statement

Answer

conjecture

Question 14

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

Accepted Answer

converse statement

Answer

conditional statement

Answer

inverse statement

Answer

contrapositive statement

Answer

biconditional statement

Question 15

the statement formed by both exchanging and negating the hypothesis and conclusion

Accepted Answer

contrapositive statement

Answer

conditional statement

Answer

converse statement

Answer

inverse statement

Answer

biconditional statement

Question 16

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

Accepted Answer

Valid

Answer

Invalid

Answer

Sammy is a Great Dane

Answer

Sammy is really a cat.

Question 17

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

Accepted Answer

Then its square is divisible by 4

Answer

Then it's not odd.

Answer

Then it's a whole number.

Answer

Then it's even.

Question 18

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

Accepted Answer

You live in Florida

Answer

You live in Disney Land

Answer

You are an old person.

Answer

You live in Orlando

Question 19

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

Accepted Answer

You will need to bring your fishing rod.

Answer

Invalid

Answer

You are a boring person.

Answer

You are going to catch a fish.

Question 20

Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.

Accepted Answer

Invalid

Answer

Jack skipped school.

Answer

It isn't Monday.

Answer

It's Saturday.

Question 21

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

Accepted Answer

If you exercise regularly, then you have more energy

Answer

You have more energy

Answer

You have a healthy body

Answer

If you do not have a healthy body, then you do not exercise regularly

Question 22

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore

Accepted Answer

the big test will not be given today.

Answer

look out for the snowplows while driving to school.

Answer

the roads will be hard to drive on.

Answer

you should call the school to see if school is canceled.

Question 23

If it is Monday, then Garfield is grumpy. If it is Monday, then John will feel Garfield lasagna.

What can you conclude?

Accepted Answer

Nothing

Answer

If Garfield is grumpy, then John will feed Garfield lasagna.

Answer

Garfield is grumpy, if it is Monday.

Answer

If John feeds Garfield lasagna, then it is Monday.

Question 24

If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles.

What can you conclude?

Accepted Answer

If a figure is a square, then it has 4 right angles.

Answer

If a figure has 4 right angles, then it is a square.

Answer

Nothing

Answer

If a figure is a rectangle, then it is a square with 4 right angles.

Question 25

What is Addition property of equality

Accepted Answer

a.   If a=b, then a+c=b+c

Answer

b.  If a=b, then a-c=b-c

Answer

c.  If a=b, then ac=bc

Answer

d.  If a=b, then a/c=b/c

Question 26

What is Subtraction property of equality

Accepted Answer

b.  If a=b, then a-c=b-c

Answer

a.   If a=b, then a+c=b+c

Answer

c.  If a=b, then ac=bc

Answer

d.  If a=b, then a/c=b/c

Question 27

What is multiplication property of equality

Accepted Answer

c.  If a=b, then ac=bc

Answer

a.   If a=b, then a+c=b+c

Answer

b.  If a=b, then a-c=b-c

Answer

d.  If a=b, then a/c=b/c

Question 28

Identify the property of equality used & the solution.

Accepted Answer

division: - 7

Answer

division: 7

Answer

addition: - 40

Answer

multiplication: - 30

Question 29

Identify the property of equality used & the solution.

Accepted Answer

multiplication: 50

Answer

division: 50

Answer

multiplication: -50

Answer

addition: -5

Question 30

Step 1 is what

Accepted Answer

given

Answer

addition property of equality

Answer

subtraction property of equality

Answer

prove

Question 31

Step 2 is what

Accepted Answer

Distributive Property

Answer

Substitution property (simplify)

Answer

Multiplication property of equality

Answer

Division property of equality

Question 32

What is reason 2?

Accepted Answer

Subtraction Property of Equality

Answer

Addition Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 33

What is reason 3?

Accepted Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Conditional Statement Quiz

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