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Geometry Semester 1 Exam Mega Review

Total questions: 120

Worksheet time: 8hrs 31mins

Name
Class
Date
1.
Factor Completely: x2-17x+72
a)
(x-9)(x+8)
b)
(x-9)(x-8)
c)
x(x-3)
d)
(x+9)(x+8)
2.

Which of the following is a polynomial?

a)

3x22x+73x^2 - 2x + 7

b)

1x+2\frac{1}{x} + 2

c)

x+1\sqrt{x} + 1

d)

2x+52^x + 5

3.

Which of the following is NOT a polynomial?

a)

x3+4x5x^3 + 4x - 5

b)

2x2+72x^2 + 7

c)

x1+3x^{-1} + 3

d)

5x5x

4.

Which of the following is a polynomial?

a)

3x22x+73x^2 - 2x + 7

b)

1x+2\frac{1}{x} + 2

c)

x+1\sqrt{x} + 1

d)

2x+52^x + 5

5.

Which of the following is NOT a polynomial?

a)

x3+4x5x^3 + 4x - 5

b)

2x2+72x^2 + 7

c)

x1+3x^{-1} + 3

d)

5x5x

6.

What is the degree of the polynomial 4x52x3+x84x^5 - 2x^3 + x - 8 ?

a)

1

b)

3

c)

4

d)

5

7.

How many terms does the polynomial 7x2+3x47x^2 + 3x - 4 have?

a)

1

b)

2

c)

3

d)

4

8.

Which of the following is a binomial?

a)

x2+2x+1x^2 + 2x + 1

b)

5x35x^3

c)

3x73x - 7

d)

44

9.

Which operation is NOT always closed for polynomials?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

10.

What is the sum of 2x2+3x2x^2 + 3x and x25x+4x^2 - 5x + 4 ?

a)

3x22x+43x^2 - 2x + 4

b)

x2+8x+4x^2 + 8x + 4

c)

3x22x43x^2 - 2x - 4

d)

x22x+4x^2 - 2x + 4

11.

Which of the following is a monomial?

a)

x2+1x^2 + 1

b)

7x7x

c)

x3x - 3

d)

2x2+3x+42x^2 + 3x + 4

12.

What is the product of (x+2)(x + 2) and (x3)(x - 3) ?

a)

x2x6x^2 - x - 6

b)

x2+5x+6x^2 + 5x + 6

c)

x2x+6x^2 - x + 6

d)

x2+x6x^2 + x - 6

13.

Which of the following is a nonexample of a polynomial?

a)

x4+2x21x^4 + 2x^2 - 1

b)

3x3+2x3x^3 + 2x

c)

x1/2+2x^{1/2} + 2

d)

5x75x - 7

14.

What is the degree of the polynomial 6x4+2x2+96x^4 + 2x^2 + 9 ?

a)

2

b)

3

c)

4

d)

6

15.

Which of the following is a trinomial?

a)

x2+2x+1x^2 + 2x + 1

b)

x3x^3

c)

2x52x - 5

d)

77

16.

If the length of a rectangle is x+3x + 3 and the width is 2x12x - 1 , what is the expression for the perimeter?

a)

2x+22x + 2

b)

3x+23x + 2

c)

6x+46x + 4

d)

6x26x - 2

17.

If the length of a rectangle is x+2x + 2 and the width is x5x - 5 , what is the area?

a)

x23x10x^2 - 3x - 10

b)

x23x+10x^2 - 3x + 10

c)

x2+7x10x^2 + 7x - 10

d)

x2+3x10x^2 + 3x - 10

18.

Which of the following is a polynomial of degree 2?

a)

x2+5x+6x^2 + 5x + 6

b)

x32x+1x^3 - 2x + 1

c)

4x+74x + 7

d)

x4x2+3x^4 - x^2 + 3

19.

What is the result of subtracting 4x23x+24x^2 - 3x + 2 from 6x2+x56x^2 + x - 5 ?

a)

2x2+4x72x^2 + 4x - 7

b)

10x22x310x^2 - 2x - 3

c)

2x2+4x32x^2 + 4x - 3

d)

2x2+4x52x^2 + 4x - 5

20.

Which of the following is NOT a binomial?

a)

x2+3x^2 + 3

b)

x32xx^3 - 2x

c)

x2+x+1x^2 + x + 1

d)

5x75x - 7

21.

Which operation is always closed for polynomials?

a)

Division

b)

Addition

c)

Taking square roots

d)

Logarithms

22.

What is the sum of 5x23x+45x^2 - 3x + 4 and 2x2+7x1-2x^2 + 7x - 1 ?

a)

3x2+4x+33x^2 + 4x + 3

b)

7x2+4x+37x^2 + 4x + 3

c)

3x2+10x+33x^2 + 10x + 3

d)

3x2+4x33x^2 + 4x - 3

23.

Which of the following is a nonexample of a polynomial?

a)

x2+2x+1x^2 + 2x + 1

b)

x34x+5x^3 - 4x + 5

c)

2x2+32x^{-2} + 3

d)

7x17x - 1

24.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
25.

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

a)
Point
b)
Plane
c)
Angle
d)
Line
26.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
27.
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.
28.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
29.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
30.
A line that contains point M.
a)

Line q

b)

Line p

c)

Line r

31.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
32.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

33.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
34.

Which among a point, a line, or a plane does a floor represent?

a)

point

b)

line

c)

plane

35.
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.
36.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
37.

Which of the following correctly names the figure shown?

a)
b)
c)
d)
38.

Which of the following is the correct way to name this plane?

a)

Plane PGW

b)

Plane MW

c)

Plane G

d)

Plane PRW

39.

With how many points do you name a line?

a)

one

b)

two

c)

three

40.
How many points do you need to make a plane?
a)
1
b)
2
c)
at least 3
d)
0
41.
a)
No, the three points are not collinear.
b)
Yes, they lie on line MP.
c)
Yes, they lie on line NP.
d)
Yes, they lie on line MO.
42.
a)
plane FBC
b)
plane BAD
c)
plane FEC
d)
plane FKG
43.
Give another name for line b
a)

line a

b)

line R

c)

line KL

d)

line HK

44.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
45.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
46.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
47.

Name 4 collinear points

a)

H,M,N,O

b)

I,K,N,O

c)

M,J,O,L

d)

H,N,K,I

48.

An example of coplanar points

a)

D, E, B

b)

C, B, A

c)

M, E, C

d)

A, F, E

49.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

50.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
51.

What is the name of this ray?

a)

AB\overrightarrow{AB}

b)

BA\overrightarrow{BA}

c)

ABC\overleftarrow{ABC}

d)

AC\overrightarrow{AC}

52.
Are points D and E collinear or coplanar?
a)
Collinear
b)
Coplanar
53.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
54.

What is the distance between the two points?

a)

6.3

b)

20

c)

2.1

d)

16

55.

Find the midpoint of the line.

a)

(2,1)

b)

(1,2)

c)

(-2,1)

d)

(1,-2)

56.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
57.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
58.

Name the plane containing the lines m and t.

a)

plane R

b)

plane p

c)

plane Q

d)

plane M

59.

A linear pair is a pair of angles (2 angles) that are:

a)

Supplementary

b)

Complementary

c)

Congruent

d)

Perpendicular

60.

Supplementary angles are angles that:

a)

add up to 180

b)

add up to 90

c)

are congruent to each other

d)

are perpendicular

61.

Complementary angles are angles that:

a)

add up to 180

b)

add up to 90

c)

are congruent to each other

d)

are perpendicular

62.

Vertical angles are angles that:

a)

add up to 180

b)

add up to 90

c)

are congruent to each other

d)

are perpendicular

63.

An angle bisector:

a)

splits an angle into two equal halves

b)

forms two supplementary angles

c)

forms two complementary angles

d)

forms two perpendicular angles

64.

When two lines are perpendicular, they form _________ _________.

a)

right angles

b)

acute angles

c)

obtuse angles

d)

parallel lines

65.

Use the definition of angle addition to choose the correct statement.

a)

AB + BC = AC

b)

AB + AC = BC

c)

AC + BC = AB

d)

AB = BC

66.

Given that BD\overrightarrow{BD}  is the angle bisector, choose the correct statement.

a)

ABDDBC\angle ABD\cong\angle DBC  

b)

mABD+mDBC=mABCm\angle ABD+m\angle DBC=m\angle ABC  

c)

ABCDBC\angle ABC\cong\angle DBC  

d)

mABC+mABD=mDBCm\angle ABC+m\angle ABD=m\angle DBC  

67.

Given that F is the midpoint of EG, choose the correct statement.

a)

EFFGEF\cong FG  

b)

EF+EG=FGEF+EG=FG  

c)

FGEGFG\cong EG  

d)

EG+FGEFEG+FG\equiv EF  

68.

1\angle1  and 2\angle2 are...

a)

a linear pair

b)

vertical angles

c)

complementary angles

d)

perpendicular lines

69.

1\angle1  and 4\angle4 are...

a)

a linear pair

b)

vertical angles

c)

complementary angles

d)

perpendicular lines

70.

6\angle6  and 8\angle8 are...

a)

a linear pair

b)

vertical angles

c)

complementary angles

d)

perpendicular lines

71.

6\angle6  and 7\angle7 are...

a)

a linear pair

b)

vertical angles

c)

complementary angles

d)

perpendicular lines

72.

5\angle5  and 8\angle8 are...

a)

a linear pair

b)

vertical angles

c)

complementary angles

d)

perpendicular lines

73.

1\angle1  and 2\angle2  are complementary angles. Choose the correct equation.

a)

1+2=90\angle1+\angle2=90  

b)

1+2=180\angle1+\angle2=180  

c)

1=2\angle1=\angle2  

74.

1\angle1  and 2\angle2  are supplementary angles. Choose the correct equation.

a)

1+2=90\angle1+\angle2=90  

b)

1+2=180\angle1+\angle2=180  

c)

1=2\angle1=\angle2  

75.

1\angle1  and 2\angle2  are vertical angles. Choose the correct equation.

a)

1+2=90\angle1+\angle2=90  

b)

1+2=180\angle1+\angle2=180  

c)

1=2\angle1=\angle2  

76.

1\angle1  and 2\angle2  are a linear pair. Choose the correct equation.

a)

1+2=90\angle1+\angle2=90  

b)

1+2=180\angle1+\angle2=180  

c)

1=2\angle1=\angle2  

77.

Choose the correct equation for 2\angle2  and 3\angle3 .

a)

2\angle2 + 3\angle3 = 180

b)

2\angle2 + 3\angle3 = 90

c)

2\angle2 = 3\angle3

78.

Choose the correct equation for 3\angle3  and 4\angle4 .

a)

3\angle3 + 4\angle4 = 180

b)

3\angle3 + 4\angle4 = 90

c)

3\angle3 = 4\angle4

79.
A positive integer describes a translation that moves... 
a)
down
b)
left
c)
up
80.
When Translating an image, if you move a figure down, you will have _____ a number.
a)
y +
b)
y -
c)
x +
d)
x -
81.
Write a rule for the translation:
Move 2 right and 1 down
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
82.
When Translating an image, if you move a figure to the right , you will have _____ a number.
a)
x +
b)
x -
c)
y +
d)
y -
83.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
84.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
85.
A negative integer describes a translation that moves
a)
up
b)
right
c)
left
86.

What is the original figure (prior to a transformation) called?

a)

Pre-Image

b)

Image

87.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
88.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
89.
Reflect about the y-axis
(-2, 7)
a)
-2 , 7
b)
-2, -7
c)
2, -7
d)
2,7
90.
Reflect about the x-axis
(9, -1)
a)
9,1
b)
9,-1
c)
-9,-1
d)
-9,1
91.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
92.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
93.
Rotate the point (7,8) around the origin 90 degrees. State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
94.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
95.

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

96.

What are the coordinates for A' after a 90rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

97.

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

98.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

SAS

c)

SSS

d)

AAS

e)

HL

99.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

SSS

c)

SAS

d)

ASA

e)

AAS

100.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

SAS

c)

ASA

d)

AAS

e)

HL

101.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

SAS

c)

ASA

d)

HL

e)

SSS

102.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

SSS

c)

SAS

d)

HL

e)

AAS

103.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

104.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

105.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade! Be Careful there maybe more than one answer (Select All That Apply)!

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

106.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

N/A

107.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

AAS

c)

ASA

d)

SAS

e)

SSS

108.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

N/A

b)

HL

c)

ASA

d)

SAS

e)

AAS

109.

Compare the triangles and determine whether they can be proven congruent, if possible by SSS, SAS, ASA, AAS, HL, or N/A (not congruent or not enough information). Select your answer.... Take your time this is a grade!

a)

SSS

b)

N/A

c)

ASA

d)

AAS

e)

SAS

110.
What does this represent?
a)
similar
b)
congruent
c)
same size
d)
triangle
111.

What does this symbol stand for?

a)

Parallel to

b)

Congruent to

c)

Similar to

d)

Perpendicular to

112.
What does this represent?
a)
slope of angle ABC
b)
angle ABC
c)
measure of angle ABC
d)
measure of arc ABC
113.

What does this symbol stand for?

a)

Ray

b)

Line

c)

Line segment

d)

Perpendicular

114.

Name the angle form by lines DE and EF in the long form.

a)

∠D

b)

∠f

c)

∠FED

d)

∠FDE

115.

Which is the correct way to name ∠q?

a)

∠RPQ

b)

∠QPR

c)

∠PQR

116.
What is the name of the RED line?
a)
RT
b)
RX
c)
TX
d)
Triangle TRX
117.

What angle is congruent to <G?

a)

<VHW

b)

<F

c)

<V

d)

<W

118.
a)
Line
b)
Point
c)
Line Segment
d)
Ray
119.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
120.

Which two rays form the angle

AEC\angle AEC  ?

a)

EC\overrightarrow{EC}  and  ED\overrightarrow{ED}  

b)

CE\overrightarrow{CE}   and EA\overrightarrow{EA}  

c)

AD\overrightarrow{AD}   and CE\overrightarrow{CE}  

d)

DA\overrightarrow{DA}   and EC\overrightarrow{EC}