Free Printable Unit 2 Review

1.

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

a)

Inductive reasoning

b)

Deductive reasoning

c)

Conjecture

d)

Experiments

2.

What is a conjecture?

a)

A statement believed to be true based on observations.

b)

An example which disproves an hypothesis.

c)

the performance of tricks that are seemingly magical

3.

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

a)

even

b)

odd

c)

zero

d)

positive

4.

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

a)

L

b)

M

c)

P

d)

K

5.

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

a)

32, 62

b)

42, 63

c)

43, 63

d)

42, 62

6.

What symbol represents a conjunction?

a)

$\vee$

b)

$\wedge$

c)

$\perp$

d)

$\sim$

7.

What symbol represents a disjunction?

a)

$\vee$

b)

$\wedge$

c)

$\perp$

d)

$\cong$

8.

What symbol represents a disjunction?

a)

$\vee$

b)

$\wedge$

c)

$\perp$

d)

$\cong$

9.

Two statements connected by the word "and" is

a)

A disjunction

b)

A conjunction

10.

A disjunction is true if

a)

Both statements are false

b)

Only one statement is true

c)

At least one statement is true

11.

Negate the statement:

"I love Geometry"

a)

Geometry I love

b)

If I love Geometry, then I do not love Geometry

c)

If and only if I love Geometry

d)

I do not love Geometry

12.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

13.

Determine the truth values of the following compound statements.

$7$ is a factor of $21$ and $84$

a)

True

b)

False

14.

Determine the truth values of the following compound statements.

February or October has $30$ days.

a)

True

b)

False

15.

Determine the truth values of the following compound statements.

$1.54$ is a positive number or $2^0=0$

a)

True

b)

False

16.

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

a)

It is not Friday

b)

It is Friday

c)

I will not get paid

d)

I will get paid

17.

Using deductive reasoning, 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, then...

a)

Look out for the snowplows while driving to school.

b)

The big test will not be given today.

c)

The roads will be hard to drive on.

d)

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

18.

Deductive reasoning means...

a)

Guessing

b)

Ura nok seblu!

c)

Testing and observing patterns to make conjectures

d)

Making general observations of situations and applying them to specific situations.

19.

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

a)

Deductive

b)

Inductive

20.

All observed houses on South Street have roofs that are falling apart. Sherry lives on South Street. Her roof is falling apart.

a)

Deductive

b)

Inductive

21.

IF Jimmy named his first child Thing1
AND his second child Thing2
THEN He will name his 3rd child Thing3

a)

Inductive

b)

Deductive

22.

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

a)

Inductive reasoning

b)

Deductive reasoning

c)

Conjecture

d)

Experiments

23.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

24.

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

a)

0

b)

12

c)

28

d)

42

25.

Which is a counterexample of: The difference of two numbers is less than the greater number.

a)

(5) - (2) = 3

b)

(-5) - (4) = -9

c)

(2) - 0 = 2

d)

(3) - (3) = 0

26.

Identify the property of equality.
If 9=x, then x=9

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

27.

Identify the property used here:
39=39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

28.

For any numbers a, b, and c, if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

29.

What is reason 1?

a)

Subtraction Property of Equality

b)

Transitive Property of Equality

c)

Given

d)

Prove

30.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

31.

Step 2 is what

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

32.

What is step 6

a)

Subtraction property of equality

b)

Addition property of equality

c)

Division property of equality

33.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

34.

What is reason 5?

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Prove

35.

What is the reason?

a)

Definition of congrucent

b)

Definition of midpoint

c)

Definition of segment

d)

Segment Addition

36.

What is the reason?

a)

Transitive

b)

Substitution

c)

Middle Man

d)

Replacing

37.

What is the reason?

a)

Angle Addition

b)

Segment Addition

c)

Definition of Congruence

d)

Definition of Between

38.

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

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Symmetric Property of Congruence

d)

Reflexive Property of Congruence

39.

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

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Distributive Property

d)

Transitive Property of Congruence

40.

Complete the statement with the transitive property: If a=b and b=c then...

a)

a=c

b)

b=a

c)

c=b

d)

a=d

41.

Fill in the reason for 5.

a)

Addition Postulate

b)

Substitution property

c)

Definition of midpoint

d)

Segment Addition Postulate

42.

Fill in the reason for number 3.

a)

Reflexive property

b)

Symmetric Property

c)

Transitive property

d)

Substitution property

43.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

44.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

45.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

46.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

47.

m $\angle$ ABD + m $\angle$ DBC = m $\angle$ ABC

a)

Vertical Angles Theorem

b)

Angle Addition Postulate

c)

Def. of congruence

d)

Def. of midpoint

48.

If two angles form a right angle,
then they are complementary
Right Angle $\rightarrow$ Complementary

a)

Def. of complementary angles

b)

Def. of supplementary angles

c)

Congruent Complements theorem

d)

Complement Therorem

49.

If two angles are vertical, then they are congruent

a)

Vertical Angles Theorem

b)

Def. of vertical angles

50.

If two angles form a linear pair,
then they are supplementary
Linear pair $\rightarrow$ Supplementary

a)

Congruent supplements theorem

b)

Supplement theorem

51.

If $\angle$ A is complementary to $\angle$ B and $\angle$ C is complementary to $\angle$ B, then $\angle$ A $\cong$ $\angle$ C

a)

Complement Theorem

b)

Congruent Complements Theorem

52.

If $\angle$ A is complementary to $\angle$ B and $\angle$ C is complementary to $\angle$ B, then $\angle$ A $\cong$ $\angle$ C

a)

Complement Theorem

b)

Congruent Complements Theorem

53.

A right angle = 90 $\degree$

a)

Right angle property

b)

Def. of a Right Angle

54.

Supplementary $\leftrightarrow$ Sum is 180 $\degree$

a)

Def. of Supplementary angles

b)

Supplement theorem

55.

Perpendicular lines form right angles

a)

Def. of perpendicular

b)

Perpendicular segment

56.

Complementary $\leftrightarrow$ Sum is 90 $\degree$

a)

Complement theorem

b)

Def. of complementary angles

57.

m $\angle$ A and m $\angle$ B $\leftrightarrow$ $\angle$ A $\cong$ $\angle$ B

a)

Def. of congruence

b)

Congruence theorem

58.

An angle bisector divides an angel into two equal parts

a)

Angle Bisector Theorem

b)

Def. of angle bisector

59.

What is reason 1?

a)

b)

c)

d)

60.

What is reason 2?

a)

b)

c)

d)

61.

What is reason 3?

a)

b)

c)

d)

62.

What is reason 4?

a)

b)

c)

d)

63.

What is reason 5?

a)

b)

c)

d)

64.

What is reason 1?

a)

b)

c)

d)

65.

What is reason 1?

a)

b)

c)

d)

66.

What is reason 2?

a)

b)

c)

d)

67.

What is reason 3?

a)

b)

c)

d)

68.

What is reason 4?

a)

b)

c)

d)

69.

What is reason 5?

a)

b)

c)

d)

70.

What is reason 6?

a)

b)

c)

d)

71.

What is reason 7?

a)

b)

c)

d)

72.

What symbol represents Conjunction?

a)

$\sqrt{ }$

b)

$\infty$

c)

$\wedge$

d)

$\vee$

73.

What is the symbol used to represent Disjunction?

a)

$\vee$

b)

$\sim$

c)

$\perp$

d)

$\wedge$

74.

What is a compound statement using the word "or" called?

a)

Conjunction

b)

Disjunction

c)

Truth Table

d)

Consequences

75.

What is a compound statement using the word and called?

a)

Juxtaposition

b)

Colorado

c)

Conjunction

d)

Negation

76.

Which symbol represents negation?

a)

$\ne$

b)

$\infty$

c)

$\sim$

d)

$\wedge$

77.

Statements are often represented by using what letters?

a)

Goodbye Letters

b)

p and q

c)

r and d

d)

x and y

78.

A statement that has the opposite meaning, as well as an opposite truth value is called what?

a)

Logic

b)

Pyramid

c)

Disjunction

d)

Negation

79.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

if, then

80.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

if, then

81.

This symbol,→ , means?

a)

and

b)

or

c)

not

d)

if, then

82.

What type of logic is this table showing:

a)

AND

b)

OR

c)

IF, THEN

83.

Let p represent: Brent works this summer.

Let q represent: Brent takes a vacation.

What is the symbolic representation of this statement?

Therefore, Brent does not work this summer.

a)

∴~p

b)

∴~q

c)

~p

d)

~q

84.

If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.

Which of the following is a premise in the argument above?

a)

If Brent works this summer, he will have extra money

b)

Therefore, if Brent works this summer, he can go on vacation

c)

Brent works this summer

d)

Brent can go on vacation

85.

If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.

Which of the following is the conclusion of the argument above?

a)

If Brent works this summer, he will have extra money

b)

Therefore, if Brent works this summer, he can go on vacation

c)

Brent works this summer

d)

Brent can go on vacation

86.

If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.

Which of the following is a variable in the argument above?

a)

If Brent works this summer, he will have extra money

b)

Therefore, if Brent works this summer, he can go on vacation

c)

Brent works this summer

d)

If Brent has extra money, then he can go on vacation

87.

Is the argument represented in this truth table valid or invalid?

a)

Valid

b)

Invalid

88.

Is the argument represented in this truth table valid or invalid?

a)

Valid

b)

Invalid

Unit 2 Review

Total questions: 88

Worksheet time: 4hrs 33mins

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