Free Printable Geometry Midterm Review

1.

Supplementary angles add to 180 degrees

a)

Always

b)

Sometimes

c)

Never

2.

A linear pair forms complementary angles

a)

Always

b)

Sometimes

c)

Never

3.

Name the angle pair.

a)

Complementary & adjacent

b)

Supplementary & linear pair

c)

Adjacent & congruent

d)

Vertical & supplementary

4.

Angles 1 and 2 are what angle pair?

a)

Complementary & adjacent

b)

Acute & vertical

c)

Adjacent & linear pair

d)

Vertical & adjacent

5.

Angles 1 and 3 are what angle pair?

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

6.

Name a pair of Supplementary Angles

a)

<TP & <LR

b)

<TCP & <RCN

c)

<TCR & <PCN

d)

<NCT & <NCP

7.

B between A & C; find x

a)

7

b)

24

c)

13

d)

14

8.

Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.

a)

8

b)

16

c)

41

d)

82

9.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

10.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

11.

Find the perimeter of the figure to the right. Round to the nearest tenth.

a)

16.2 units

b)

12.3 units

c)

15.4 units

d)

19.8 units

12.

If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?

a)

18°

b)

90°

c)

108°

d)

180°

13.

Which angle is complementary to $\angle LJM$

a)

$\angle MJN$

b)

$\angle NJP$

c)

$\angle FGE$

d)

$\angle LJK$

14.

Which angle is supplementary to $\angle LJN$

a)

$\angle MJN$

b)

$\angle KJP$

c)

$\angle FGE$

d)

$\angle LJK$

15.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

16.

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

a)

Definition of Supplementary Angles

b)

Angle Addition Postulate

c)

Definition of Right Angle

d)

Definition of Complementary Angles

17.

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

a)

Vertical Angles Theorem

b)

Definition of Congruent Angles

c)

Angle Addition Postulate

d)

Batman

18.

If X is between R & T on a line,

then RX + XT = RT

a)

Addition Property

b)

Substitution Property

c)

Angle Addition Postulate

d)

Segment Addition Postulate

19.

What is reason 2?

a)

Given

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Substitution Property of Equality

20.

If $AC\perp BD$ , then $\angle DBC$ is a right angle.

a)

Definition of Perpendicular Lines

b)

Definition of Right Angle

c)

Angle Addition Postulate

d)

Segment Addition Postulate

21.

If ∠A ≅ ∠B, then we know m∠A = m∠B because...

a)

Given

b)

Definition of Congruent Angles

c)

Congruent means equal

d)

Transitive Property

22.

What is reason 4?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

23.

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.

24.

(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3) ???????
What belongs in line 3?

a)

Figure A is a polygon.

b)

Figure A is a circle.

c)

Figure A is a square.

d)

invalid; nothing belongs in line 3

25.

Write the if-then statement that follows from the pair of true statements. If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic.

a)

If the sun is shining, then it is a beautiful day.

b)

If it is a beautiful day, then the sun is shining.

c)

If the sun is shining, then we will go on a picnic.

d)

If we go on a picnic, then the sun is shining.

26.

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

27.

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.

28.

If the conditional statement was "If an angle is acute, then it has a measure greater than 0 and less than 90°.", which type of statement is the following?

An angle is acute if and only if it has a measure greater than 0 and less than 90°.

a)

Biconditional

b)

Converse

c)

Inverse

d)

Contrapositive

29.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

30.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

31.

Write the equation of the line that passes through the point (4, -2) and has a slope of -1/2.

a)

y = -1/2x + 3

b)

y = -1/2x

c)

y = -1/2x + 4

d)

y = -1/2x - 4

32.

Write a linear function that has a slope of -2 and passes through the point (-3, 4).

a)

f(x) = -2x - 2

b)

f(x) = -2x + 4

c)

f(x) = =2x + 3

d)

f(x) = -2x + 2

33.

Write an equation in slope-intercept form from the points (0, 3) and (-4, -1)

a)

y = x + 3

b)

y = x - 3

c)

y = x + 1

d)

y = 3x + 1

34.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

35.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

36.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

37.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

38.

Name the angle relationship.

a)

Same Side Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

39.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

40.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

41.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

42.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

43.

Solve for x.

a)

7

b)

9

c)

10

d)

-11

44.

In isosceles triangle KMD with base segment KM, KD=3x+4, KM=4x-3, and MD=6x+1. Find the value of the perimeter.

a)

15

b)

1

c)

7

d)

-2

45.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

46.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

47.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

48.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

49.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

50.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

51.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

52.

What is the reason for statement 4?

a)

CPCTC

b)

ASA

c)

AAS

d)

SAS

53.

a)

JM = 5

b)

JM = 10

c)

JM = 12

d)

JM = 24

54.

a)

QR = 4

b)

QR = 20

c)

QR = 11

d)

QR = 5

55.

Find the measure of $\angle NJZ$

a)

38

b)

90

c)

52

d)

128

56.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

57.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

58.

Order the sides from greatest to least

a)

a , b , c

b)

b , c , a

c)

c , b , a

d)

a , c , b

59.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

60.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

61.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

62.

Choose the TRUE statement.

a)

$AC>DF$

b)

$AC<DF$

c)

$AC=DF$

d)

The above statements are all false.

63.

Choose the TRUE statement.

a)

$m\angle1\ >\ m\angle2$

b)

$m\angle1\ \ <\ \ m\angle2$

c)

$m\angle1=m\angle2$

d)

The above statements are all false.

64.

Choose the TRUE statement.

a)

$KL>MN$

b)

$KL<MN$

c)

$KL=MN$

d)

The above statements are all false.

65.

Which choice can be used to find the possible values of x?

a)

$x+7>2x-3$

b)

$x+7<2x-3$

c)

$x+7=2x-3$

d)

None of these

66.

Choose the TRUE statement.

a)

$m\angle C<m\angle F$

b)

$m\angle C>m\angle F$

c)

$m\angle C=m\angle F$

d)

The above statements are all false.

67.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

68.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

69.

If G is the centroid of ∆ABC, what MUST be true?

a)

FG=EG

b)

CG=2/3 CD

c)

CD=2/3 CG

d)

BG=AG

70.

If G is the centroid of ∆ABC, what MUST be true?

a)

FG=EG

b)

CG=2/3 CD

c)

CD=2/3 CG

d)

BG=AG

71.

If WX=3.6, WL=6.1, and KW=8, what is ZW?

a)

3.05

b)

4

c)

3.6

d)

4.06

72.

Which point is equidistant from the vertices of a triangle?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

73.

a)

KN=KP

b)

XM=KX

c)

XN=QX

d)

NM=QL

74.

a)

33.75

b)

50

c)

45

d)

None of the above

75.

a)

8

b)

11

c)

12

d)

12.8

76.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

77.

Find the measure of the missing angle (?).

a)

95

b)

113

c)

76

d)

85

78.

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails?

a)

17/26

b)

1/13

c)

5/13

d)

5/26

79.

The two spinners above are spun. What is the probability of getting a perfect square (1,4,9,16), then the letter Z?

a)

3/20

b)

9/20

c)

1/8

d)

11/40

80.

a)

.2855

b)

.6246

c)

.0922

d)

.3230

81.

What is the probability that a student does not play on a sports team?

a)

.5

b)

.45

c)

.55

82.

What is the probability that a student does play a sport given they do not play an instrument?

a)

.2

b)

.2222

c)

.10

d)

.5

83.

You want the combined probability of drawing a face card and spinning a red to be 10%. If there are 20 spaces on the spinner, approximately how many should be red?

a)

7

b)

8

c)

9

d)

10

84.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

85.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

86.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

87.

What is the Algebraic Notation for this Reflection?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

88.

Translate the blue shape to the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

89.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

90.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

91.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

92.

The image A'B'C' is a rotation of ABC.

a)

True

b)

False

93.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-y,x)

d)

(x,y)→(-x,-y)

94.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

d)

90 degrees clockwise

95.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

96.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

360⁰

c)

90⁰ counterclockwise

d)

180⁰

97.

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

a)

(5,-5)

b)

(5,5)

c)

(-5,5)

d)

(-5,-5)

98.

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the transformation T_{2, -1} then r_y-axis ?

a)

(3, 1), (-1, -7), (6, -6)

b)

(3, -3), (-1, 5), (6, 4)

c)

(1, -3), (5, 5), (-2, 4)

d)

(-3, -3), (1, 5), (-6, 4)

99.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

100.

Name the series of transformations that maps ABC onto DEF

a)

reflect over x then translate left 6 up 1

b)

reflect over y then translate down 6 left 1

c)

translate right 6 down 1, then reflect over x

d)

rotate 90 clockwise then reflect over y

101.

Which construction represents the center of a circle that is inscribed in a triangle?

a)

The intersection of the three altitudes of the triangle.

b)

The intersection of the three medians of the triangle.

c)

The intersection of the angle bisectors of each angle of the triangle.

d)

The intersection of the perpendicular bisectors of each side of the triangle.

102.

Which construction represents the the point that is two thirds the distance from any vertex to the midpoint of the opposite side?

a)

The intersection of the three altitudes of the triangle.

b)

The intersection of the three medians of the triangle.

c)

The intersection of the angle bisectors of each angle of the triangle.

d)

The intersection of the perpendicular bisectors of each side of the triangle.

103.

A card is drawn from a standard deck and not replaced. Then a second card is drawn. What is the
probability the first card is an ace and the second card is a king?

a)

1/2652

b)

4/867

c)

1/663

d)

4/663

104.

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

a)

1/9

b)

3/9

c)

3/6

d)

5/6

105.

P(1 and A)

a)

1/16

b)

1/10

c)

4/16

d)

1/4

106.

If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?

a)

58

b)

96

c)

20

d)

192

107.

The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?

a)

12

b)

8

c)

15

d)

6

108.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

109.

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

a)

6

b)

12

c)

24

d)

36

110.

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?

a)

17/26

b)

1/8

c)

5/13

d)

1/6

111.

A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. Mrs. Grow picks one marble, replaces it, then picks another. What is the probability of them both being blue?
P(blue and blue)

a)

1/25

b)

1/5

c)

1/20

d)

2/5

112.

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, replacing it, and then picking a green pen?

a)

1/2

b)

4/11

c)

1/6

d)

2/3

113.

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

a)

3/5

b)

3/4

c)

3/20

d)

2/5

114.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

115.

What statement does the shaded region represent?

a)

A or B

b)

Not B

c)

Not A

d)

Not A or B

116.

What is P(Foreign language | Sport)?

a)

14/27

b)

7/12

c)

23/47

d)

37/47

117.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

118.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

a)

⁶⁶/₈₀

b)

⁴/₈₀

c)

¹⁸/₈₀

d)

⁴⁹/₈₀

119.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

120.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

121.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in the orchestra?

a)

16

b)

21

c)

31

d)

36

122.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having green eyes?

a)

3

b)

1

c)

2

d)

3/11

123.

What is P(not Sport | not Foreign Language)?

a)

23/26

b)

14/23

c)

3/13

d)

7/13

124.

Find the probability of picking a green and then another green, if you pick two marbles without replacing the first.

a)

$\frac{4}{27}$

b)

$\frac{16}{81}$

c)

$\frac{2}{9}$

d)

$\frac{1}{6}$

125.

Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.

a)

$\frac{1}{28}$

b)

$\frac{1}{32}$

c)

$\frac{1}{16}$

d)

$\frac{11}{28}$

126.

There are 10 blue socks and 12 brown socks in a drawer. Find the probability of reaching in and getting two blue socks without looking.

a)

$\frac{10}{22}\times\frac{10}{21}$

b)

$\frac{10}{22}\times\frac{9}{21}$

c)

$\frac{10}{22}\times\frac{10}{22}$

d)

$\frac{10}{22}\times\frac{12}{21}$

127.

The teacher of a class that contains 12 boys and 16 girls needs to pick two volunteers. She randomly selects one student, and then selects another student from the class. What is the probability that she picks two girls?

a)

$\frac{20}{63}$

b)

$\frac{16}{49}$

c)

$\frac{1}{256}$

d)

$\frac{15}{49}$

128.

Out of those surveyed, what is the probability that the student is a boy who can't bike to school ?

a)

4/30

b)

7/30

c)

4/14

d)

14/30

129.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

1) What is the probability a randomly selected student got an A or B for the semester?

a)

15/100

b)

20/100

c)

35/100

d)

65/100

130.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

131.

P( J|M )

a)

247/1041

b)

247/425

c)

247/1792

d)

425/1792

132.

Consider this Venn Diagram. The survey questions were "Do you own a cat?" and "Do you own a dog?"
If a single person who participated in this survey is selected at random, what is the probability that they own either a dog or a cat?

a)

11/15

b)

1/6

c)

5/6

d)

4/15

133.

The probability of it raining today is 30%. What is the probability that it will NOT rain?

a)

30%

b)

70%

c)

100%

d)

0%

134.

Let I = {People in a random sample who regularly use the internet as a source of news.}

Let P = {People in the same random sample who regularly use print media as a source of news.}

The Venn diagram summarizes the distribution of these two events. Which one of the two-way tables below conveys the same information?

a)

b)

c)

d)

e)

135.

Which TWO methods listed below could not be used to prove that two triangles are congruent?

a)

Prove all three sets of corresponding sides congruent.

b)

Prove all three sets of corresponding angles congruent.

c)

Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle.

d)

Prove that two angles and an included side of one triangle are congruent to two angles and an included side of the other triangle.

e)

Prove that two sides and a non-included angle of one triangle are congruent to two sides and a non-included angle of the other triangle.

136.

a)

Side-Side-Side

b)

Side-Angle-Side

c)

Angle-Side-Angle

d)

Angle-Angle-Side

137.

A geometry student concluded: "If two sides and a non-included angle of one triangle are congruent to two sides and a non-included angle of another triangle, then the two triangles are congruent."

Which diagram can be used as a counterexample to the student’s conclusion?

a)