Free Printable Review for Geometry Midterm 2023

1.

Classify the polynomial:

4x² + 2x - 1

a)

Polynomial

b)

Binomial

c)

Trinomial

d)

Monomial

2.

(4x²+ x) - (x²+ 2x)

a)

3x² - x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

3.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

4.

Find the product
(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

5.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

6.

The perimeter of the
triangle is $10x+20$ . Find the length of the missing side.

a)

$6x+10$

b)

$15x+30$

c)

$5x+10$

d)

$5x-10$

7.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

8.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

9.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

10.

What is the coefficient of this term?

9x³

a)

None

b)

9

c)

3

d)

x

11.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

12.

Find the sum.

(5x²-3x + 4) + ( -3x²+6x- 3)

a)

3x² + 2x + 1

b)

2x² + 3x +1

c)

2x² + 5x - 7

d)

3x²+ 4x⁵ -7x

13.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

14.

What is the perimeter of the triangle shown?

a)

9r²+r-5

b)

9r⁴+r²-4

c)

9r²-r+4

d)

9r²+r-4

15.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

16.

Find the difference.

(3- 2x + 2x²) - (3x²+4x-5)

a)

x² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

17.

Name the image

a)

Line segment

b)

Line

c)

Point

d)

Ray

18.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

19.

A flat surface made up of points that has two dimensions and extends without end.

a)

Point

b)

Plane

c)

Angle

d)

Line

20.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

21.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

22.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

23.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

24.

Name two points collinear to Point K

a)

H & M

b)

J & L

c)

N & J

d)

M & L

25.

Give another name for plane Q.

a)

Plane FEGI

b)

Plane FEG

c)

Plane m

d)

Plane FGI

26.

An example of coplaner points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

27.

A line that contains point M.

a)

Line q

b)

Line p

c)

Line r

28.

Name the intersection of Plane ADE and Plane W

a)

Point E

b)

Point A

c)

Line AD

d)

Line EA

29.

Name 3 coplaner points.

a)

ZRW

b)

VZX

c)

VWX

d)

WYZ

30.

A plane containing point A.

a)

Plane DEA

b)

Plane k

c)

Plane CDF

d)

Plane F

31.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

32.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

33.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

34.

Which angle is a linear pair with $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle6$

35.

This is what kind of angle?

a)

obtuse

b)

right

c)

straight

d)

acute

36.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

37.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

38.

Which names a pair of adjacent angles?

a)

∠CXD and ∠FXE

b)

∠CXF and ∠DXE

c)

∠CXD and ∠DXE

39.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

40.

What type of angles are these? (select 3)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

41.

Supplementary angles always add up to

(a)

42.

Complementary angles always add up to

(a)

43.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

44.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

45.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

46.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

47.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

48.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

49.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

50.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

51.

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

52.

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.

53.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

54.

M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM.

a)

6

b)

4

c)

70

d)

40

55.

M is the midpoint of the line segment. Find the value of x.

a)

x=47

b)

x=19

c)

x=33

d)

x= -47

56.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

57.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

58.

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

a)

b)

c)

d)

59.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

60.

The distance formula for the points (3,1) B(-2,-1) is written correctly as:

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)

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

61.

Find the distance between the two points: (2, -1) and (2, 5)

a)

0

b)

8.3

c)

6

d)

5.5

62.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

63.

Angle ABC measures 34^o. What is the measure of angle CBD?

a)

17^o

b)

34^o

c)

68^o

64.

The measure of angle ABD is 74^o. What is the measure of angle CBD?

a)

148^o

b)

74^o

c)

37^o

65.

The measure of angle DBC is 14^o. What is the measure of angle DBA?

a)

7^o

b)

14^o

c)

28^o

66.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

67.

the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4n + 10

d)

4 / n + 10

68.

Which expression means:
15 miles less than Debbie

a)

d + 15

b)

d - 15

c)

15 - d

d)

15 + d

69.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

70.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

71.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

72.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

73.

Translate the sentence into an equation:

Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

74.

Erica has three less than twice as many pencils as Dale has. If Dale has d pencils, which expression shows how many pencils Erica has?

a)

3 - 2d

b)

2d - 3

c)

½d - 3

d)

3 - ½d

75.

Organize these options into the right categories

a)

1.

congruent

b)

2.

perpendicular

c)

3.

parallel

d)

4.

angle

e)

5.

similar

76.

what does parallel mean

a)

Two lines or objects that are always the same distance apart and never intersect.

b)

Two lines or objects that are never the same distance apart and always intersect.

c)

Two lines or objects that are always the same distance apart and sometimes intersect.

d)

Two lines or objects that intersect at one point.

77.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

78.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

79.

Solve for x.

a)

16

b)

11

c)

50

d)

6

80.

The angle formed by one side of a triangle and the extension of the adjacent side is called __________________.

a)

an exterior angle

b)

an interior angle

c)

a congruent angle

d)

a complementary angle

81.

The ________________________________ states the sum of the remote interior angles is equal to the non-adjacent exterior angle.

a)

Exterior Angle Theorem

b)

Interior Angle Theorem

c)

Triangle Congruency Theorem

d)

Equiangular Triangle Theorem

82.

What is the measure of Angle A ?

(a)

83.

Based on what you know about triangles, Angle C is _________________.

a)

a right angle

b)

an acute angle

c)

an obtuse angle

d)

a congruent angle

84.

If x = 12, what is the sum of all the interior angles in this triangle?

(a)

85.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

86.

Find x

a)

15 degrees

b)

12 degrees

c)

24 degrees

d)

10 degrees

87.

What value of x will make m parallel to n?

a)

113

b)

166

c)

19

88.

Lines A and B are parallel lines cut by a transversal. Find the value of x.

a)

x = 8

b)

x = 13

c)

x = 74

d)

x = 106

89.

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?

a)

40 and 40

b)

65 and 115

c)

40 and 140

d)

75 and 105

90.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 19 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 19 + 4X +1=180

91.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

92.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Perpendicular line to a point on the line

d)

Perpendicular bisector of a line segment

93.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Angle median

d)

Perpendicular bisector of a line segment

94.

Select the best answer choice.

a)

F

b)

G

c)

H

d)

J

95.

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.

96.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

97.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

98.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

99.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

100.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

101.

In the image, line RS is _______ to line JQ.

a)

parallel

b)

congruent

c)

similar

d)

perpendicular

102.

Name the construction.

a)

midpoint

b)

perpendicular through a point on the line

c)

perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

103.

Name the construction.

a)

Corresponding angles

b)

Parallel line to a point not on the line

c)

Perpendicular line to a point not on the line

d)

Angle bisector

104.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

105.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

106.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

107.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

108.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

109.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

110.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

111.

Find the measure of Angle A.

a)

$40\degree$

b)

$140\degree$

c)

$80\degree$

d)

$100\degree$

112.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

113.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

114.

Solve for x.

a)

44^o

b)

^-14o

c)

-7^o

d)

63^o

115.

What is the missing piece of information required to prove these triangles congruent?

a)

QY ≅ QY

b)

NY ≅ PY

c)

∠N ≅ ∠P

d)

QY is the perpendicular bisector

116.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

117.

Is this SSS?

a)

Yes

b)

No

118.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSA

c)

Yes, by AAS

d)

Yes, they look congruent

e)

No, they are not congruent

119.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSS

c)

Yes, by ASA

d)

Yes, they look congruent

e)

No they are not congruent

120.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by ASA

d)

Yes, they look congruent.

e)

No they are not congruent

121.

Which one is this?

a)

SSS

b)

SAS

c)

ASA

122.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Right Isosceles

c)

Acute Isosceles

d)

Right Obtuse

123.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

Review for Geometry Midterm 2023

Total questions: 123

Worksheet time: 6hrs 26mins

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