Free Printable Mid-Term Exam Geometry Spring '23

1.

Solve for k.

$k-9=2$

a)

$k=\frac{2}{9}$

b)

$k=18$

c)

$k=11$

d)

$k=-7$

2.

Solve for s.

$10=\frac{s}{5}$

a)

$s=15$

b)

$s=5$

c)

$s=2$

d)

$s=50$

3.

Solve for m.

$-3m+7=-38$

a)

$m=13$

b)

$m=-10$

c)

$m=15$

d)

$m=-11$

4.

Solve for a.

$13=3-10a$

a)

$a=11$

b)

$a=-17$

c)

$a=-1$

d)

$a=2$

5.

Solve for g.

$\frac{g}{8}+1=6$

a)

$g=-16$

b)

$g=-8$

c)

$g=40$

d)

$g=-2$

6.

$10+\frac{p}{15}=11$

What is the first step in solving the equation above?

a)

Subtract 10 from each side.

b)

Divide 15 from each side.

c)

Multiply 15 to each side.

d)

Add 10 to each side.

7.

$2x-3+4x=27$ Solve for x.

a)

12

b)

4

c)

5

d)

15

8.

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

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

9.

Solve for x:

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

a)

x = 106

b)

x = -106

c)

x = 16

d)

x = -16

10.

Solve.

$7(1-y)=-3(y-2)$

a)

x = 1/4

b)

x = 4

c)

x = 5

11.

Solve:

$2(4x-3)-8=4+2x$

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

12.

Solve for x :

$\frac{2\left(x+4\right)}{-3}=-14$

a)

x = 19

b)

x = 17

c)

x = -17

d)

x = -19

13.

What are Collinear points?

a)

are points that lie in different line.

b)

are points that lie in the same line.

14.

Points that lie on the same plane are ________.

a)

collinear

b)

coplanar

c)

parallel

d)

perpendicular

15.

A plane is named by...

a)

Any 1 point on the plane.

b)

Any 2 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

16.

A point is drawn as a small dot with a ____.

a)

Capital Letter

b)

Lower Case Letter

17.

A line that extends from a point in one direction and travels forever is called a ...

a)

perpendicular line

b)

line segment

c)

ray

d)

parallel line

18.

Are A, B, and R colinear?

a)

Yes

b)

No

19.

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

a)

x = 6

b)

x = 9

c)

x = 3

20.

If AM = 4y - 2, MB = 22 Find the value of y.

a)

x = 6

b)

x = 9

c)

x = 12

21.

If TM = 2x + 5, MQ = x + 14, Find the value of x.

a)

x = 6

b)

x = 9

c)

x = 12

22.

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

a)

5

b)

6

c)

7

d)

8

23.

Find AB.

a)

69

b)

20

c)

19

d)

11

24.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

25.

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)

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

26.

A(2,0) B(-2,4) is written as

a)

$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

b)

$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

c)

$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

d)

$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

27.

Using the Distance Formula what is the distance between

(3,4) (7,9)

a)

$41$

b)

$\sqrt[]{38}$

c)

$\sqrt[]{41}$

d)

$\sqrt[]{25}$

28.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

29.

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

a)

b)

c)

d)

30.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

31.

What is the VERTEX of an angle?

a)

The corner point of an angle

b)

The straight side of an angle

c)

Space in between arms

32.

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

a)

55 degrees

b)

88 degrees

c)

90 degrees

d)

15 degrees

33.

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

34.

IS [BD) the angle bisector of angle ABC?

a)

yes because it is in the interior angle

b)

no because [BD) does not bisect this angle into 2 equal angles

35.

The $m∠JHM=$ (a) °

36.

A right angle is an angle measuring (a) degrees

37.

Name the vertex:

(a)

38.

Name the angle with two arcs.

a)

$\angle FIE$

b)

$\angle EIR$

c)

$\angle FER$

d)

$\angle FIR$

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.

Solve for x.

a)

x = 77

b)

x = 7.5

c)

x = 8

d)

x = 18

42.

a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

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.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

45.

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.

46.

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°

47.

Given the figure. What is the measure of $\angle ABD$

a)

108 $\degree$

b)

122 $\degree$

c)

112 $\degree$

d)

172 $\degree$

48.

Find the value of x.

a)

24

b)

34

c)

44

d)

54

49.

What does acute mean?

a)

90 degree angle

b)

less than a 90 degree angle

c)

greater than a 90 degree angle

50.

What does obtuse mean?

a)

90 degree angle

b)

less than a 90 degree angle

c)

greater than a 90 degree angle

51.

What type of triangle is this?

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

52.

Identify the triangle by its sides and angle.

a)

Isosceles Acute

b)

Scalene Obtuse

c)

Isosceles Obtuse

d)

Scalene Acute

53.

Identify the triangle by its sides and angles

a)

Scalene Right

b)

Equilateral Equiangular

c)

Equilateral Obtuse

d)

Isosceles Acute

54.

a)

Equilateral

b)

Isosceles

c)

Acute

d)

Obtuse

e)

Scalene

55.

How many degrees is X?

a)

65

b)

70

c)

90

d)

55

56.

Solve for x.

(a)

57.

Solve for x.

(a)

58.

Find the measure of each angle indicated.

a)

$50\degree$

b)

$120\degree$

c)

$30\degree$

d)

$20\degree$

59.

Find the indicated angle measure.

(What is ?)

a)

85

b)

78

c)

95

d)

110

60.

Solve for x

a)

48

b)

85

c)

24

d)

9

61.

Solve for x.

(a)

62.

What is the measure of ∠A?

a)

46

b)

134

c)

90

d)

88

63.

Solve for x.

(a)

64.

Find x

a)

3

b)

4

c)

2

d)

10

65.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

66.

Solve for x.

(a)

67.

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

a)

$\angle N$

b)

$\angle P$

c)

$\angle R$

d)

$\angle F$

68.

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

a)

$\overline{NP}$

b)

$\overline{PR}$

c)

$\overline{NR}$

d)

$\overline{FG}$

69.

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

70.

What does x equal?

a)

9

b)

11

c)

17

71.

If $\Delta ABC\cong\Delta RQP$ , what is

the value of x?

a)

3

b)

2

c)

6

d)

13

72.

$\Delta QPR\cong\Delta NMR\$ What is the value of x? #21

(a)

73.

What is the ratio of apples to oranges?

(a)

74.

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

(a)

75.

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

76.

Solve for x.

$\frac{4}{7}=\frac{20}{x}$

a)

35

b)

11.43

c)

140

d)

80

77.

Solve for x.

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

a)

10

b)

14

c)

8.29

d)

26.5

78.

Solve for q.

$\frac{q+2}{5}=\frac{2q-11}{7}$

a)

23

b)

-13

c)

5

d)

32

Mid-Term Exam Geometry Spring '23

Total questions: 78

Worksheet time: 2hrs 11mins

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