Free Printable Geo - Chapter 2

1.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

2.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

3.

∠ABC and ∠CBD are supplementary angles, m∠ABC = (5x + 12)° and m∠CBD = (13x + 24)°. Find x.

(a)

4.

∠ABC and ∠CBD are supplementary angles. m∠ABC = (5x + 12)° andm∠CBD = (13x + 24)°. Find m∠ABC.

(a)

5.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

6.

Are the points shown collinear?

a)

Yes

b)

No

7.

Are the points shown coplanar?

a)

Yes

b)

No

8.

Choose the points that are collinear.

a)

A, B, and C

b)

A, C, and D

c)

A, E, and F

d)

B, C, and D

9.

Are points B and C collinear? Yes, they are on the same line THROUGH the plane.

a)

Yes

b)

No

10.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

11.

What is the value of "x"?

a)

10

b)

11

c)

12

d)

13

12.

What is the value of "x"?

a)

19

b)

20

c)

21

d)

22

13.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

14.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

15.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

16.

What does this represent?

a)

similar

b)

congruent

c)

same size

d)

triangle

17.

What does this represent?

a)

similar for shapes OR negation for conditional statements

b)

congruent

c)

same size

d)

triangle

18.

What does this represent?

a)

similar

b)

congruent

c)

same size

d)

triangle

19.

What does this represent?

a)

intersects

b)

perpendicular

c)

parallel

d)

left turn

20.

What does this represent?

a)

line segment AB

b)

line AB

c)

ray AB

d)

distance AB

21.

What does this represent?

a)

line segment AB

b)

line AB

c)

ray AB

d)

distance AB

22.

What does this represent?

a)

line segment AB

b)

line AB

c)

ray AB

d)

distance AB

23.

What does this represent?

a)

line segment AB

b)

line AB

c)

ray AB

d)

distance AB

24.

What does this represent?

a)

slope of angle ABC

b)

angle ABC

c)

measure of angle ABC

d)

measure of arc ABC

25.

What does this represent?

a)

parallel

b)

perpendicular

c)

celery sticks

d)

straight

26.

What unit does this represent?

a)

degrees

b)

inches

c)

radians

d)

feet

27.

What does this represent?

a)

prime

b)

double prime

c)

thoughts

d)

perpendicular

28.

What does this represent?

a)

prime

b)

double prime

c)

thoughts

d)

perpendicular

29.

What does this represent?

a)

triangle ABC

b)

angle ABC

c)

line ABC

d)

parallelogram ABC

30.

What does this represent?

a)

angle

b)

triangle

c)

right angle

d)

line

31.

What does this represent?

a)

angle ABC

b)

triangle ABC

c)

arc ABC

d)

line ABC

32.

What does this represent?

a)

right angle

b)

obtuse angle

c)

acute angle

d)

a crossbow

33.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

34.

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

a)

Hypothesis: you are in Alaska

Conclusion: you are

cold

b)

Hypothesis: IF you are in Alaska

Conclusion: THEN you are

cold

c)

Hypothesis: THEN you are

cold

Conclusion: IF you are in Alaska

d)

Hypothesis: you are

cold

Conclusion: you are in Alaska

35.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

36.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

37.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

38.

Which of the following is the INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

a)

If an object is not a battery, then it is not

rechargeable.

b)

If an object is rechargeable, then it is not a battery.

c)

If an object is not rechargeable, then it is not a battery.

d)

There is no inverse of the statement.

39.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

a)

If a species is not human, then it does not walk on two feet.

b)

If a species is human, then it walks on two feet.

c)

If a species does not walk on two feet, then it is not human.

d)

There is no contrapositive of the statement.

40.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

a)

If a species does not live in water, then it is not a fish.

b)

If a species is not a fish, then it does not live in water.

c)

If a species lives in water, then it is a fish.

d)

There is not contrapositive of the statement.

41.

Which of the following is the BICONDITIONAL of the statement below?

If there is lightning, then there is thunder.

a)

If there is not lightning, then there is not thunder.

b)

If there is thunder, then there is lightning.

c)

There is lightning if and only if (iff) there is thunder.

d)

There is no biconditional statement.

42.

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

a)

If it is not wet, then it is not water.

b)

If it is wet, then it is water.

c)

It is water if and only if (iff) it is wet.

d)

There is no biconditional statement.

43.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

a)

If an angle is acute, then it has a measure less than 90°.

b)

If an angle is not acute, then it does not have a measure less than 90°.

c)

If an angle is acute, then it is acute.

d)

If an angle does not measure less than 90°, then it is not acute.

44.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

An angle is acute if and only if (iff) it has a measure less than 90°.

a)

Biconditional

b)

Converse

c)

Inverse

d)

Contrapositive

45.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

a)

Contrapositive

b)

Converse

c)

Biconditional

d)

Inverse

46.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

a)

Converse

b)

Contrapositive

c)

Biconditional

d)

Inverse

47.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

a)

Inverse

b)

Contrapositive

c)

Biconditional

d)

Converse

48.

What is a conditional statement?

a)

if-then statement

b)

if part

c)

then part

d)

a true or false statement

49.

What is a hypothesis?

a)

if-then statement

b)

if part

c)

then part

d)

a true or false statement

50.

What is a conclusion?

a)

if-then statement

b)

if part

c)

then part

d)

a true or false statement

51.

What is this?

a)

Conditional Statement

b)

Inverse

c)

Converse

d)

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

52.

What is the symbol for NOT (negation)?

a)

∕

b)

∨

c)

~

d)

∧

53.

Given that M is the midpoint of

\overline{AB}

and

AB=30

find AM.

a)

15

b)

30

c)

10

d)

not enough information

54.

What ray is the bisector of $\angle AOC$ ?

a)

$\overrightarrow{OB}$

b)

$\overrightarrow{OC}$

c)

$\overrightarrow{BO}$

d)

$\overline{OB}$

55.

If $\overrightarrow{KM}$ bisects $\angle LKJ$ and $m\angle JKM=22\degree$ find $m\angle LKM$ .

a)

22

b)

44

c)

11

d)

68

e)

not enough information given

56.

Name the dashed segment:

a)

altitude

b)

angle bisector

c)

perpendicular bisector

d)

median

57.

Fill in the blank:

A point that is the same distance from two figures is ___________________ from from the two figures.

a)

Equidistant

b)

Congruent

c)

Vertical

d)

Corresponding

58.

Fill in the blank:

A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment.

a)

endpoint

b)

corner

c)

midpoint

d)

side

59.

A ray that divides an angle into two congruent angles is called .............

a)

perpendicular bisector

b)

angle bisector

c)

vertex

d)

divider

60.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

61.

$\angle1$ and $\angle2$ are

a)

adjacent

b)

complementary

62.

$\angle1$ and $\angle2$ are

a)

adjacent

b)

linear pair

63.

$\angle1$ and $\angle2$ are

a)

adjacent

b)

linear pair

64.

$\angle1$ and $\angle2$ are

a)

vertical

b)

adjacent

65.

$\angle1$ and $\angle4$ are

a)

supplementary

b)

complementary

66.

Buzz graphed two lines in order to find the solution(intersection point).

What is the solution?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

67.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

68.

A _____ is a specific location. It has no dimension width or height.

a)

Plane

b)

Line Segment

c)

Point

d)

Ray

69.

___ _____ is a point at either end of a line segment or the starting point of a ray.

a)

End point

b)

Midpoint

c)

Starting point

d)

Plane

70.

A _____ is a 2D surface that extends infinitely.

a)

Ray

b)

Line Segment

c)

Line

d)

Plane

71.

What is the correct name of the plane?

a)

N

b)

n

c)

AE

d)

C

72.

To fully disprove a conjecture, one needs to find only ONE counterexample.

a)

True

b)

False

73.

A concluding statement reached using inductive reasoning is called a _______

a)

compound statement

b)

conjecture

c)

condition

d)

counterexample

74.

How many counters would come next?

a)

5

b)

7

c)

9

d)

11

75.

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

a)

quadrilateral

b)

rectangle

c)

square

d)

triangle

76.

Which is a counterexample of: Any number divisible by 2 is divisible by 4.

a)

15÷2

b)

20÷4

c)

16÷4

d)

10÷2

77.

If it is an angle, then it is acute. What is an appropriate counterexample?

a)

70⁰

b)

45⁰

c)

120⁰

d)

True. There is no counterexample.

78.

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

a)

$40\degree\ and\ \ 140\degree$

b)

$80\degree\ and\ \ 80\degree$

c)

$30\degree\ and\ \ 150\degree$

d)

$90\degree\ and\ \ 90\degree$

79.

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

80.

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

81.

Where would the next red square be?

a)

bottom left

b)

top right

c)

top left

d)

bottom right

82.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

83.

Which property is used in the following?

7(8 + 2) = 7 _^x 8 + 7 _^x 2

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

None of the above

84.

Identify the property:

39 = 39

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

85.

Identify the property:

If 31 = 2x - 5, then 2x - 5 = 31

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

86.

Which property says that order doesn't matter in addition and multiplication?

a)

Commutative Property

b)

Associative Property

c)

Identity Property

d)

Reflexive Property

87.

Identify the property:

10 + 0 = 10

a)

Inverse Property

b)

Commutative Property

c)

Associative Property

d)

Identity Property

88.

Identify the property:

6 + (21 + 3) = (6 + 21) + 3

a)

Commutative Property

b)

Distributive Property

c)

Inverse Property

d)

Associative Property

89.

9 ^_x 2 = 2 ^_x 9

a)

Commutative Property

b)

Associative Property

c)

Inverse Property

d)

Distributive Property

90.

$\left(-b\right)+b=0$

a)

Commutative Property

b)

Associative Property

c)

Inverse Property

d)

Identity Property

91.

$a\times1=a$

a)

Identity Property

b)

Inverse Property

c)

Symmetric Property

d)

Reflexive Property

92.

Given:
p: It will rain on Saturday.
q: We will play in the park.

Write the following statement using logic symbols.
If it does not rain on Saturday, then we will play in the park.

a)

$\sim p\rightarrow q$

b)

$p\rightarrow q$

c)

$\sim p\wedge q$

d)

$\sim q\rightarrow p$

93.

Given:

p: Each student enrolls in a foreign language.

q: All students pass history.

Write the following in logic symbols: Each student enrolls in a foreign language if and only if all students pass history.

a)

$p\leftrightarrow q$

b)

$p\rightarrow q$

c)

$p\wedge q$

d)

$p\vee q$

94.

p→q
What is the inverse?

a)

q→p

b)

∼p→∼q

c)

∼q→∼p

d)

p→∼q

Geo - Chapter 2 - Review

Total questions: 94

Worksheet time: 2hrs 16mins

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