Quiz about Reasoning and Proof Advanced

Question 1

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

Accepted Answer

You do your homework

Answer

You will pass your test

Answer

If you do your homework you will pass your test

Answer

You fail your test

Question 2

What is the converse of the following conditional:
If an angle measures 56 degrees, then it is an acute angle.

Accepted Answer

If an angle is an acute angle, then it measures 56 degrees.

Answer

If an angle does not measure 56 degrees, then it is not an acute angle.

Answer

If an angle is not an acute angle,then the angle does not measure 56 degrees.

Answer

The angle measures 56 degrees.

Question 3

Which of the following statements is written in biconditional form?

Accepted Answer

You can vote if and only if you are 18 years old.

Answer

If you do not vote, then you are not at least 18 years old.

Answer

If you are 18 years old, then you can vote.

Answer

If you can vote, then you are 18 years old.

Question 4

Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.

Accepted Answer

rhombus

Answer

quadrilateral

Answer

rectangle

Answer

square

Question 5

Finish the conjecture. The product of two odd numbers is ________

Accepted Answer

Odd

Answer

Even

Answer

Positive

Answer

Negative

Question 6

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

A dog is a Siberian Husky.

Question 7

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

Accepted Answer

Contrapositive

Answer

Converse

Answer

Inverse

Answer

Negation

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 only the converse is true.

Question 9

How many blocks would be in the next picture?

Accepted Answer

9

Answer

14

Answer

10

Answer

12

Question 10

Question 10.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 11

If you extended the pattern, how many dots would come next?

Accepted Answer

25

Answer

16

Answer

20

Answer

30

Question 12

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

Accepted Answer

18, 24

Answer

18,23

Answer

17, 25

Answer

17, 24

Question 13

For the inverse we _________ the hypothesis and conclusion

Accepted Answer

negate

Answer

flip

Answer

Flip and negate

Answer

do nothing to

Question 14

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.

Accepted Answer

you can buy a new CD

Answer

you cannot buy a new CD

Answer

no conclusion can be made

Answer

you earn more than $14

Question 15

Use Law of Syllogism to make a conclusion.
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.

Accepted Answer

If the perimeter of a square is 20 ft, then the area is 25 ft²

Answer

If the side of a square is 5 ft, then the perimeter is 20 ft.

Answer

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

Answer

If the are of a square is 25 ft², then the perimeter is 20 ft.

Question 16

What is the value of x?

Accepted Answer

45

Answer

90

Answer

180

Answer

51

Question 17

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Accepted Answer

Transitive Property of Congruence

Answer

Reflexive Property of Congruence

Answer

Symmetric Property of Congruence

Answer

Distributive Property

Question 18

What is the missing reason in the proof?

Accepted Answer

Segment Addition Postulate

Answer

<p>Addition </p>

Answer

Substitution

Answer

Transitive Property

Question 19

What allows to say that angle IKH is congruent to angle GKJ?

Accepted Answer

Vertical angles theorem

Answer

Definition of vertical angles

Answer

Linear Pairs Theorem

Answer

Definition of a straight angle

Question 20

The Symmetric Property says that if AB = BC, then _________

Accepted Answer

BC = AB

Answer

AB = BC

Answer

BC = CD

Answer

A = B

Question 21

Which is the correct reason for statements 2 and 4 in the proof?

Accepted Answer

Vertical Angles are congruent.

Answer

Given

Answer

Transitive Property

Answer

Definition of Congruent Angles

Question 22

Which is the correct reason for statement 1 in the proof?

Accepted Answer

Given

Answer

Definition of Congruent Angles

Answer

Substitution

Answer

Transitive Property

Question 23

Which is the correct reason for statements 3 and 5 in the proof?

Accepted Answer

Transitive Property

Answer

Definition of Congruent Angles

Answer

Vertical Angles

Answer

<p>Given</p>

Reasoning and Proof Advanced

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics