Free Printable Geometry Mid-Term Exam

1.

Solve for a.

19 + a = -20

a)

a = -39

b)

a = 1

c)

a = 39

d)

a = -1

2.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

3.

Solve for x:

a)

x = 20

b)

x = 10

c)

x = 7

d)

x = 3

4.

Solve for c.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

5.

What is a two-step equation?

a)

An equation where two steps (or operations) are needed to solve it.

b)

A problem with only one operation present.

c)

An equation where only one step is needed to solve it.

d)

A problem where you find the square-root of a number.

6.

$7+\frac{a}{3}=5$ Solve for a.

a)

a= -2

b)

a = 3

c)

a = -6

d)

a = 15

7.

$-3+\frac{a}{4}=6$ Solve for a.

a)

12

b)

-12

c)

-36

d)

36

8.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

9.

Solve the equation 4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

10.

Solve for x:

$\frac{\left(3x-3\right)}{-7}=-45$

a)

x = 106

b)

x = -106

c)

x = 16

d)

x = -16

11.

Name this point.

a)

point d

b)

point D

c)

D

12.

What is a point?

a)

your finger tip

b)

an exact location in space

c)

a poke

d)

the end of your pencil

13.

Are A, B, and R colinear?

a)

Yes

b)

No

14.

is the following picture a plane or a line?

a)

Plane

b)

Line

c)

Both

d)

None

15.

Points that lie on the same plane are ________.

a)

collinear

b)

coplanar

c)

parallel

d)

perpendicular

16.

Where do lines p and r intersect?

a)

H

b)

M

c)

K

d)

J

e)

N

17.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

18.

If TM = 6x + 3, MQ = 21, Find the value of x.

a)

x = 6

b)

x = 9

c)

x = 3

19.

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

a)

5

b)

6

c)

7

d)

8

20.

a)

6

b)

24

c)

21

d)

42

21.

How is the distance formula correctly written:

a)

$d=\sqrt{\left(y_1-y_2\right)^2-\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d=\sqrt{\left(x_2-\ x_1\right)^2+\left(y_2-\ y_1\right)^2}$

c)

$d=\sqrt{\left(y_1-y_2\right)^2+\ \left(x_{2\ }-\ x_1\right)^2}$

d)

$d=\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

22.

A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

23.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

24.

What is the distance between AB?

a)

0

b)

undefined

c)

5

d)

4

25.

What is coordinate X?

a)

(2,5)

b)

(4,4)

c)

(4,3)

d)

(1,0)

26.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

27.

The middle of a line is called the _______________.

a)

endpoint

b)

midpoint

c)

slope

d)

distance

28.

Which of the following angles measures are not an acute angle?

a)

55 degrees

b)

88 degrees

c)

90 degrees

d)

15 degrees

29.

Which of the following is an acute angle?

a)

32 degrees

b)

91degrees

c)

180 degrees

d)

90 degrees

30.

Jane measures an angle and says that it's measurement is 94 degrees. Did Jane measure an obtuse angle or acute angle?

a)

obtuse

b)

acute

31.

Which of the following books is open 180°?

a)

b)

c)

d)

32.

Which angle is acute?

a)

b)

c)

d)

33.

Which angle is right?

a)

b)

c)

d)

34.

Which angle is obtuse?

a)

b)

c)

d)

35.

Which angle is straight?

a)

b)

c)

d)

36.

Which figure shows a set of perpendicular lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

37.

Name the vertex:

(a)

38.

Name the angle with one arc

a)

$\angle FIE$

b)

$\angle EIR$

c)

$\angle FIR$

d)

$\angle RIE$

39.

Find the value of ∠A.

a)

25°

b)

30°

c)

35°

d)

90°

40.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

41.

If m∠ABC = 103° find x.

(a)

42.

Solve for x.

a)

2

b)

3

c)

4

d)

5

e)

7.4

43.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

44.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

45.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

46.

Which are pairs of adjacent angles?

a)

∠COB & ∠DOA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOC

47.

What are complementary 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.

48.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 3°

49.

What term is used to describe a pair, or group, of angles that equal 180 degrees?

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Congruent Angles

50.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

51.

What is the measure of the missing angle?

a)

76

b)

86

c)

166

d)

156

52.

An equilateral triangle has all congruent sides. Which triangle is equilateral?

a)

b)

c)

53.

Which one of these is a right triangle?

a)

b)

c)

54.

What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

55.

What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

56.

Which triangle is an isosceles triangle?

a)

b)

c)

57.

Which type of triangle is pictured?

a)

A

b)

B

c)

C

d)

D

58.

Identify the triangle by its sides

a)

Isosceles Acute

b)

Scalene Obtuse

c)

Isosceles Obtuse

d)

Scalene Acute

59.

What is the area?

a)

20 m²

b)

40 m²

c)

13 m

d)

7.5 m²

60.

What is the area?

a)

30 m²

b)

11 m²

c)

25 m

d)

15 m²

61.

What is the area?

a)

6 m²

b)

16 m²

c)

4 m

d)

8 m²

62.

What is the formula for area of a triangle?

a)

A = b x h

b)

A = $\frac{b\ \times\ h}{2}$

c)

A = b + h

d)

A = b - h

63.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

64.

Will the following three angles for a triangle?

30°, 60°, 90°

a)

yes

b)

no

65.

To classify triangles by the measure of their sides you must use the names:

a)

Equilateral, Equiangular and Obtuse

b)

Equilateral, Isosceles and Scalene

c)

Right triangle, Scalene and Equiangular

d)

Isosceles, Scalene and Equilateral

66.

To classify triangles by the measure of their angles we use the names:

a)

Equiangular, Isosceles and Acute

b)

Acute, Obtuse and Isosceles, Equiangular

c)

Right triangle, Isosceles triangle and Scalene triangle

d)

Right triangle, Obtuse triangle and Acute triangle, Equiangular

67.

How much is the value of X?

a)

85

b)

95

c)

75

d)

100

68.

How many degrees is X?

a)

65

b)

70

c)

90

d)

55

69.

How many degrees is X?

a)

37

b)

47

c)

7

d)

90

70.

Solve for x.

(a)

71.

Find x.

a)

10

b)

32

c)

116

d)

16

72.

a)

A

b)

B

c)

C

d)

D

73.

Solve for x.

(a)

74.

Find x

a)

3

b)

4

c)

2

d)

10

75.

Solve for x.

(a)

76.

Which of the following geometric figures are congruent?

a)

b)

c)

d)

e)

77.

If $\Delta FGH\ \leftrightarrow\ \Delta NPR$ , then $\angle F\ \leftrightarrow$ _____.

a)

$\angle N$

b)

$\angle P$

c)

$\angle R$

d)

$\angle F$

78.

If $\Delta FGH\ \leftrightarrow\ \Delta NPR$ , then $\angle H\ \leftrightarrow$ _____.

a)

$\angle F$

b)

$\angle P$

c)

$\angle G$

d)

$\angle R$

79.

If $\Delta FGH\ \leftrightarrow\ \Delta NPR$ , then $\overline{GH}\ \leftrightarrow$ _____.

a)

$\overline{NP}$

b)

$\overline{PR}$

c)

$\overline{FG}$

d)

$\overline{NR}$

80.

If $\Delta FGH\ \leftrightarrow\ \Delta NPR$ , then $\overline{FH}\ \leftrightarrow$ _____.

a)

$\overline{NP}$

b)

$\overline{PR}$

c)

$\overline{NR}$

d)

$\overline{FG}$

81.

$\overline{AD}\ \leftrightarrow$ (a)

82.

$\angle A\ \leftrightarrow$ (a) .

^{Note: Letter must be capitalized.}

83.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

84.

What does x equal?

a)

9

b)

11

c)

17

85.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

86.

When making rice krispie treats you use the following:

3 Tbsp butter

40 marshmallows

6 cups Rice Krispies

What is the ratio of marshmallows to rice krispies?

a)

40:6

b)

6:40

c)

3:20

d)

20:3

87.

What is the ratio of red apples to the total apples?

(a)

88.

What is the ratio of oranges to pineapples?

(a)

89.

A group of preschoolers has 23 boys and 19 girls. What is the ratio of boys to all children?

(a)

90.

$\frac{5}{8}$ is an example of

a)

A Ratio

b)

A Proportion

c)

Neither

d)

Both

91.

Is this proportion true:

$\frac{6}{10}=\frac{2}{5}$

a)

Yes, they are equal

b)

No, they are not equal

c)

I cannot answer that question from the information given

92.

Is this proportion true?

$\frac{1}{6}=\frac{5}{30}$

a)

Yes, this is true

b)

No, this is not true

c)

I cannot answer the equation from the information given

93.

Solve for x.

$\frac{x}{8}=\frac{25}{40}$

a)

5

b)

12.8

c)

200

d)

480

94.

What is the value of y in this proportion?

a)

12

b)

15

c)

10

d)

14

95.

Solve for x.

$\frac{x-2}{14}=\frac{4}{7}$

a)

10

b)

14

c)

8.29

d)

26.5

96.

What is the value of a in this proportion?

a)

5

b)

2

c)

3

d)

4

97.

When is a function a relation?

a)

When x values repeat.

b)

When x values do not repeat.

c)

When y values repeat.

d)

When y values do not repeat.

98.

What is a proportional relationship?

a)

Has to have a positive or negative slope.

b)

Has to be a horizontal or vertical line .

c)

Has a positive or negative slope and has to pass through origin.

d)

It is a U shape graph.

99.

What is another representation for Slope. (Check all that apply) 3 answers

a)

Unit Rate

b)

y-intercept

c)

x-intercept

d)

$\frac{rise}{run}$

e)

$\frac{y_2-y_1}{x_2-x_1}$

100.

What does m represent in $y=mx+b$ ?

a)

m is slope

b)

m is the x-intercept

c)

m is the y-intercept

101.

What are other words that can be used for x-intercept? (Check all that apply.) 3 answers

a)

Solutions

b)

Roots

c)

Zeros

d)

Slope

e)

Domain

102.

What is the y-intercept. (Check all that apply) 2 answers

a)

Where a graph crosses the y-axis.

b)

Its is the b in $y=mx+b$

c)

It is the m in $y=mx+b$

d)

Where is crosses the x-axis.

103.

What is the x-intercept. (Check all that apply) 2 answers

a)

Where a graph crosses the y-axis.

b)

Its is the b in $y=mx+b$

c)

It is the m in $y=mx+b$

d)

Where is crosses the x-axis.

e)

Can also be called zeros, roots, or solutions.

104.

What do we focus on when working with Domain values? (Check all that apply) 2 answers

a)

x-values

b)

Reading a graph from left to right

c)

y-values

d)

Reading a graph from lowest to highest

105.

What do we focus on when working with Range values? (Check all that apply) 2 answers

a)

x-values

b)

Reading a graph from left to right

c)

y-values

d)

Reading a graph from lowest to highest

106.

Rate of change means

a)

slope

b)

zeros

c)

roots

d)

solutions

107.

What kind of line does this inequality $<\ \ >$ give you?

a)

Dotted Line

b)

Solid Line

108.

What kind of line does this inequality $\le\ \ \ge$ give you?

a)

Dotted Line

b)

Solid Line

109.

In which direction should you shade when given this inequality $<\ \ or\ \ \le$ ?

a)

Below the Line

b)

Above the Line

110.

In which direction should you shade when given this inequality $>\ \ or\ \ \ge$ ?

a)

Below the Line

b)

Above the Line

111.

When you have systems of equations what are we looking for? (Check all that apply) 2 answers

a)

Two Parallel Lines

b)

Two intersecting lines

c)

Point of intersection

d)

Overlapping Area

112.

When you have systems of inequalities what are we looking for? (check all that apply) 2 answers

a)

Two Parallel Lines

b)

Two intersecting lines

c)

Point of intersection

d)

Overlapping Area

113.

When working on Domain and Range on a graph, if the point is solid, which notation should you use? (Check all that apply) 3 answers

a)

[

b)

]

c)

<

d)

$\le$

e)

(

114.

When working on Domain and Range on a graph, if the point is OPEN, which notation should you use? (Check all that apply) 3 answers

a)

[

b)

)

c)

<

d)

$\le$

e)

(

115.

What is a maximum point?

a)

Where it crosses the y axis.

b)

Where it crosses the x-axis.

c)

The lowest value of the graph.

d)

The highest value of the graph.

116.

What is a minimum point?

a)

Where it crosses the y axis.

b)

Where it crosses the x-axis.

c)

The lowest value of the graph.

d)

The highest value of the graph.

117.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

118.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

119.

Name this Function:

a)

Constant

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

Geometry Mid-Term Exam - Fall 22'

Total questions: 119

Worksheet time: 3hrs 17mins

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