Quiz about Reasoning and Proof review CH. 2

Question 1

What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...

Accepted Answer

21

Answer

17

Answer

20

Answer

24

Question 2

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

Accepted Answer

cat

Answer

goldfish

Answer

frog

Answer

elephant

Question 3

Vertical angles are:

Accepted Answer

Congruent

Answer

Complimentary

Answer

Supplementary

Answer

Adjacent

Question 4

Question 4.

Accepted Answer

not

Answer

therefore

Answer

and

Answer

or

Question 5

A conjecture is:

Accepted Answer

a concluding statement reached during inductive reasoning

Answer

a false example in a compound statement

Answer

a compound statement using and or nor

Answer

an educated guess based on empirical data, collected by a calculator

Question 6

Which statement is a conjecture about the sum of two odd numbers?

Accepted Answer

Their sum is even

Answer

Their sum is 14

Answer

Their sum is odd

Answer

Their sum is positive

Question 7

Inductive Reasoning means...

Accepted Answer

Testing and observing patterns to make conjectures

Answer

Guessing

Answer

Explaining why

Answer

Adding numbers together

Question 8

What is the hypothesis of the given Conditional Statement?

Accepted Answer

Jimmy goes on vacation

Answer

Jimmy will go to Orlando

Answer

Jimmy will go to Orlando

Answer

Who is Jimmy?

Question 9

What is the converse to this statement?

Accepted Answer

If it is night, then it is dark outside

Answer

If it isn't dark outside, then it is not night.

Answer

If it is not night, then it is not dark outside.

Answer

It is night.

Question 10

What is the inverse to this statement?

Accepted Answer

If you don't live in Montreal, then you don't live in Canada.

Answer

If you live in Canada, you live in Montreal

Answer

If you don't live in Canada, you don't live in Montreal.

Answer

Montreal is in Brazil.

Question 11

What is the contrapositive to this?

Accepted Answer

If the food is not cooked, then it is not in the oven.

Answer

If the food is not in the oven, then it is not cooked.

Answer

If the food is cooked, then its in the oven.

Answer

If food is not in the oven, then its cooked.

Question 12

What is the conclusion to this?

Accepted Answer

Clarkson will be the coolest

Answer

Clarkson will not be the coolest

Answer

Clarkson gives us Mountain Dew

Answer

Clarkson will not give us Mountain Dew

Question 13

What is this?

Accepted Answer

Conditional Statement

Answer

Inverse

Answer

Converse

Answer

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

Question 14

What does this mean?

Accepted Answer

Inverse Statement

Answer

Conditional Statement

Answer

Converse Statement

Answer

Contrapositive Statement

Question 15

What is this mean?

Accepted Answer

Contrapositive

Answer

Conditional Statement

Answer

Converse

Answer

Inverse

Question 16

All chickens that we have seen have been brown; so, all chickens are brown.

Accepted Answer

Inductive

Answer

Deductive

Question 17

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.

Accepted Answer

Deductive

Answer

Inductive

Question 18

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

Accepted Answer

Inverse

Answer

Converse

Answer

Contrapositive

Answer

Negation

Question 19

What is the REASON for Statement #6?

Accepted Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Question 20

When starting a proof you always start with:

Accepted Answer

Given information

Answer

What it wants you to prove

Answer

Equal Angles

Answer

Linear Angles

Question 21

What is the missing statement in the proof?

Accepted Answer

Subtraction p.o.e.

Answer

Substitution p.o.e.

Answer

Transitive p.o.e.

Answer

Symmetric p.o.e.

Question 22

AB = AB

Accepted Answer

Reflexive POE

Answer

Transitive POE

Answer

Symmetric POE

Answer

Distributive POE

Question 23

Question 23.

Accepted Answer

subtraction POE

Answer

addition POE

Answer

angle addition POE

Answer

substitution POE

Question 24

Which property says that if k = 3, then 3 = k?

Accepted Answer

Symmetric Property

Answer

Substitution Property

Answer

Reflexive Property

Answer

Transitive Property

Question 25

Which property states that if 2x = 14, then x = 7?

Accepted Answer

Division Property

Answer

Addition Property

Answer

Subtraction Property

Answer

Multiplication Property

Question 26

Which property says -7(x - 4) = -7x + 28?

Accepted Answer

Distributive Property

Answer

Addition Property

Answer

Multiplication Property

Answer

Division Property

Question 27

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

Accepted Answer

Vertical Angles are congruent.

Answer

Corresponding Angles

Answer

Substitution

Answer

Definition of Congruent Angles

Question 28

Which is an example of transitive property?

Accepted Answer

If a=b and b=m, then a = m.

Answer

If a=b then b=a.

Answer

Given a number a, a=a

Answer

If a=5, then 3a-5 = 3(5)-5

Question 29

If Y is between X and Z, the XY+YZ = XZ

Accepted Answer

segment addition postulate

Answer

angle addition postulate

Answer

addition property

Answer

definition of midpoint

Question 30

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 31

Which of the following is a counterexample:

Every prime number is an odd number

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 32

What is reason 5?

Accepted Answer

Symmetric Property of Equality

Answer

Substitution Property of Equality

Answer

Transitive Property of Equality

Answer

Reflexive Property of Equality

Question 33

Question 33.

Accepted Answer

5

Answer

15

Answer

60

Answer

7.5

Question 34

What reason goes in blank #1

Accepted Answer

Distributive Property

Answer

Addition Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Answer

Simplify

Question 35

What does the word BISECT mean?

Accepted Answer

To cut something into two congruent pieces or in half.

Answer

To cut something into more than five pieces.

Answer

It is a plane with two sets of wings.

Answer

A shape that has three sides.

Question 36

If two lines are perpendicular then what  kind of angles do they form?

Accepted Answer

right

Answer

adjacent

Answer

obtuse

Answer

acute

Question 37

A specific example that proves a statement is false.

Accepted Answer

Counterexample

Answer

Conjecture

Answer

Hypothesis

Answer

Proof

Question 38

A statement that can be proven.

Accepted Answer

Theorem

Answer

Conclusion

Answer

Inductive Reasoning

Answer

Biconditional Statement

Question 39

Find the value of x.

Accepted Answer

52

Answer

63

Answer

53

Answer

58

Question 40

Fill in the blank: The intersection of these two planes is ____

Accepted Answer

line MZ

Answer

line SR

Answer

point M

Question 41

Which equation would you use to find the value of x?

Accepted Answer

3x = 2x +16

Answer

3x + 2x + 15 = 180

Answer

3x + 2x + 15 = 90

Answer

3x + 2x + 15

Question 42

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 43

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 44

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 45

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 46

What is the missing reason in the proof?

Accepted Answer

Segment Addition Postulate

Answer

Addition

Answer

Substitution

Answer

Transitive Property

Reasoning and Proof review CH. 2

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