Quiz about Ch.2 Reasoning and Proofs

Question 1

What comes next in the pattern?

Accepted Answer

up, right, down

Answer

up, down, right

Answer

down, up, left

Answer

down, left, right

Question 2

How many blocks would be in the next picture?

Accepted Answer

9

Answer

14

Answer

10

Answer

12

Question 3

Find the next term in the sequence:
A, D, G, J, _____

Accepted Answer

M

Answer

L

Answer

P

Answer

K

Question 4

Give the conjecture for the following sequence:
9,6,3,0...

Accepted Answer

To find the next term, subtract 3

Answer

To find the next term, divide by 3

Answer

To find the next term, divide by 3 and add 3

Question 5

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

Accepted Answer

Inductive reasoning

Answer

Deductive reasoning

Answer

Conjecture

Answer

Experiments

Question 6

What is a conjecture?

Accepted Answer

A statement believed to be true based on observations.

Answer

An example which disproves an hypothesis.

Answer

the performance of tricks that are seemingly magical

Question 7

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

Accepted Answer

odd

Answer

even

Answer

zero

Answer

positive

Question 8

How many cubes would be in the 10th figure?

Accepted Answer

41

Answer

18

Answer

16

Answer

17

Question 9

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

Accepted Answer

43, 63

Answer

32, 62

Answer

42, 63

Answer

42, 62

Question 10

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.

Accepted Answer

I will get paid

Answer

It is not Friday

Answer

It is Friday

Answer

I will not get paid

Question 11

What is 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 12

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 13

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 14

Draw a conclusion from the statement.
If a parasite lives in or on a host organism, then it harms its host.
A virus is a parasite.

Accepted Answer

It will harm the host.

Answer

I have a cold.

Answer

It lives in or on a host

Answer

Invalid

Question 15

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

Accepted Answer

Invalid

Answer

You are at least 25 years old

Answer

You can rent a car

Answer

You can go on a road trip

Question 16

When taking the converse of a statement we_____ the hypothesis and the conclusion.

Accepted Answer

switch

Answer

negate

Answer

highlight

Answer

switch and negate

Question 17

If it is a triangle, then it has three sides. What is the conclusion?

Accepted Answer

It has three sides

Answer

It is a triangle

Answer

It is a polygon

Answer

It sums to 180

Question 18

When taking the inverse of a statement, we_______ the hypothesis and the conclusion.

Accepted Answer

negate

Answer

switch

Answer

switch and negate

Answer

keep

Question 19

Conditional: If it does not rain, then we will have practice.
What is "If it rains today, then we will have not practice", called

Accepted Answer

Inverse

Answer

Converse

Answer

Contrapositive

Answer

Counterexample

Question 20

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 have a dog, then I don't have a Siberian Husky

Question 21

If two angles are supplementary, then they have a sum of 180. Is the inverse true?

Accepted Answer

Yes, if two angles are not supplementary, then they do not add to 180

Answer

no, if angles don't add to 180, they can still be supplementary

Answer

no, Supplementary angles add to 90

Answer

yes, supplementary angles add to less than 180

Question 22

What does this mean?

Accepted Answer

Inverse

Answer

Conditional

Answer

Converse

Answer

Contrapositive

Question 23

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 24

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

Accepted Answer

If it is 6pm, then it is time for dinner.

Answer

If it is time for dinner, then it is 6pm.

Answer

If you want to eat dinner, then you must eat at 6pm.

Answer

None of these are right

Question 25

Find the length of AB if AC=25

Accepted Answer

14

Answer

7

Answer

11

Answer

25

Question 26

Use the figure to write and solve an equation for x.

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 27

Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny buys a keyboard, then she will not buy a guitar.

Accepted Answer

Contrapositive

Answer

Converse

Answer

Inverse

Answer

Negation

Question 28

The opposite of a statement is called a ________________________.

Accepted Answer

Negation

Answer

Proof

Answer

Contrapositive

Answer

Inverse

Question 29

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

Accepted Answer

cat

Answer

goldfish

Answer

frog

Answer

elephant

Question 30

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

Accepted Answer

0

Answer

10

Answer

-2

Answer

True. There is no counterexample.

Question 31

What phrase does a biconditional statement use?

Accepted Answer

if and only if

Answer

if, then

Answer

if, when

Answer

then, if

Question 32

When can a biconditional statement be written?

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 33

Which of the following is a biconditional statement?

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.

Question 34

Determine the conclusion for the statement and the reason:
AB + BC =AC
AB = 4

Accepted Answer

4+ BC =AC ; substitution

Answer

AB + 4 =AC; substitution

Answer

BC = 4; substitution

Answer

4 +BC = AC; SAP

Question 35

Angle ABC is bisected by ray BD.

State the conclusion you can make and the reason

Accepted Answer

angle ABD is congruent to angle DBC; def of bisect

Answer

angle ABD is congruent to angle DBC; bef of Midpoint

Answer

angle ABD + angle DBC = angle ABC; AAP

Answer

angle ABC is congruent to angle DBC; bef of bisect

Question 36

Determine a valid conclusion for the statement and the reason

Given: A is the midpoint of segment XY

Accepted Answer

segment XA is congruent to segment AY; def of midpoint

Answer

XA is congruent to segment AY; def of bisect

Answer

XA+AY+XY, SAP

Answer

XA is congruent to segment AY; substitution

Question 37

The Transitive Property says that if AB = BC and BC = CD, then ___________

Accepted Answer

AB = CD

Answer

AB = BC

Answer

BC = CD

Answer

C is for Cookie

Question 38

What is the first step to solving the equation above?

Accepted Answer

Use Distribution Property

Answer

Use Substitution Property

Answer

Use Addition Property

Answer

Use Division Property

Question 39

What is Ms. Chiang's favorite color?

Accepted Answer

teal

Answer

pink

Answer

black

Answer

purple

Question 40

What is Ms. Chiang's first name?

Accepted Answer

Isabella

Answer

iCarly

Answer

Irene

Answer

Isabelle

Ch.2 Reasoning and Proofs

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