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Geometry Review

Total questions: 125

Worksheet time: 3hrs 4mins

Name
Class
Date
1.

If m∠ABC = 103° find x.

(a)  

2.

Find the area of the shaded region

(a)  

3.

Name the angle with three arcs. Choose all that apply.

a)

< FIE

b)

< EIF

c)

< I

d)

< EIR

4.

Select all true statements

a)

The measures of the orange and green angles are congruent

b)

x=6

c)

The measure of the orange angle is 36

d)

The measure of the green angle is 3

e)

The measures the the intercepted arcs are congruent

5.
Solve for X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
6.
∠1 and ∠3 can best be described as ?
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
7.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
8.
What conclusion would you make if the you calculated the slopes to be this?
a)
Opposite sides parallel
b)
Consecutive sides or Diagonals are perpendicular
c)
Opposite sides are congruent
d)
none of these
9.
These angles are...
a)
Complementary
b)
Supplementary
c)
Vertical
d)
non-adjacent
10.

What is the measure of the

missing angle?

a)

92 degrees

b)

102 degrees

c)

82 degrees

d)

72 degrees

11.
a)

28

b)

57

c)

113

d)

254

e)

283

12.
a)

x+4x+4

b)

x2+4\sqrt{x^2+4}

c)

x2+8\sqrt{x^2+8}

d)

x216\sqrt{x^2-16}

e)

x2+16\sqrt{x^2+16}

13.
Which lines appear to be parallel to EF?
a)
EA and CF
b)
BA and CD
c)
AG and HC
d)
BC and AD
14.

Caroline is about to perform a relay handoff on a circular track that has a radius of 6 meters. Her track partner, Makenna, is standing 93°93\degree  away from her. How many meters (to the nearest hundredth) does Caroline need to run in order to pass the baton to Makenna?

a)

29.22 meters

b)

29.21 meters

c)

9.73 meters

d)

9.74 meters

15.
what is this shape?
a)
quadrilateral
b)
hexagon
c)
pentagon
d)
trapezoid
16.
Which is a pair of corresponding angle?
a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
17.
What is this shape?
a)
rectangle
b)
trapezoid
c)
square
d)
triangle
18.

The measure of angle STV is 117°. What is the measure of angle UTV?

a)

117 degrees

b)

86 degrees

c)

31 degrees

d)

157 degrees

19.
Identify the cross section formed in the picture.
a)
square
b)
rectangle
c)
parallelogram
d)
pentagon
20.

Given mQST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

21.

Find the area of a kite with diagonals that measure 12 units and 14 units.

(a)  

22.
Find the value of x.
a)
8
b)
90
c)
53
d)
37
23.

Name 3 collinear points.

a)

S, Q, R

b)

T, Q, R

c)

S, Q, P

d)

P, Q, R

24.
What conclusion would you make if the you calculated the slopes to be this?
a)
Opposite sides parallel
b)
Consecutive sides or Diagonals are perpendicular
c)
Opposite sides are congruent
d)
none of these
25.
How is a trapezoid like a square?
a)
4 equal sides
b)
4 right angles
c)
at least one pair of parallel sides
26.

How much water can the mug hold to the nearest hundredths?

(a)  

27.
What is the distance between the two points?
a)
√40 ≈ 6.32
b)
√32 ≈ 5.66
c)
√20 ≈ 4.47
d)
none of these
28.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
29.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
30.

Name the angle that is pictured.

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

31.

Find the value of x given the triangle. Round the the nearest whole number.

(a)  

32.

I am part of a line. I have one end point and continue forever in one direction. What am I?

a)

segment

b)

line

c)

ray

d)

opposite ray

33.
Find the value of x (to the nearest whole number)
a)
5
b)
7
c)
9
d)
11
34.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
35.
a)

(x+4)2+y2=4\left(x+4\right)^2+y^2=4

b)

(x4)2+y2=16\left(x-4\right)^2+y^2=16

c)

(x4)2y2=16\left(x-4\right)^2-y^2=16

d)

(x4)2+y2=4\left(x-4\right)^2+y^2=4

e)

x2+(y4)2=16x^2+\left(y-4\right)^2=16

36.

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

a)

True

b)

False

37.

Which of the following sides will make a right triangle?

a)

6, 8, and 10

b)

2, 5, and 9

c)

11, 13, and 20

d)

13, 14, and 23

38.

A windowpane is 12 inches tall and the diagonal distance from one corner to the other is 20 inches. How wide is the windowpane?

a)

23.3

b)

16

c)

22.4

d)

14

39.
∠AOB and ∠COB can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
40.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
41.
Find the distance.
a)
√95
b)
√115
c)
√136
d)
√162
42.
a)

14°14\degree

b)

28°28\degree

c)

29°29\degree

d)

58°58\degree

e)

Cannot be determined from the given information

43.
a)

212\frac{\sqrt{21}}{2}

b)

32\frac{3}{2}

c)

215\frac{\sqrt{21}}{5}

d)

35\frac{3}{5}

e)

25\frac{2}{5}

44.
Is this a quadrilateral and a 
polygon and a rhombus?
a)
yes
b)
no
45.
Name the image of C(6, -4) under a rotation 90 degrees counterclockwise about the origin.
a)
C'(4, 6)
b)
C'(-4, -6)
c)
C'(6, 4)
d)
C'(-6, -4)
46.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
47.
a)

30

b)

60

c)

30330\sqrt{3}

d)

30530\sqrt{5}

e)

60560\sqrt{5}

48.
How is a trapezoid like a square?
a)
4 equal sides
b)
4 right angles
c)
at least one pair of parallel sides
49.

Find the missing angle measure.

a)

43 degrees

b)

47 degrees

c)

57 degrees

d)

67 degrees

50.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
51.
What conclusion would you make if the you calculated the slopes to be this?
a)
Opposite sides parallel
b)
Consecutive sides or Diagonals are perpendicular
c)
Opposite sides are congruent
d)
none of these
52.

Which statement is true of a pentagonal pyramid

a)

A pentagonal pyramid has 5 faces, 10 edges, and 5 vertices

b)

A pentagonal pyramid has 5 faces, 10 edges, and 6 vertices

c)

A pentagonal pyramid has 6 faces, 10 edges, and 6 vertices

d)

A pentagonal pyramid has 6 faces, 10 edges, and 5 vertices

53.
Which pair of lines are intersecting?
a)
AD and ED
b)
AC and ED
c)
BG and AC
d)
None are correct
54.
Is this a quadrilateral and a 
polygon and a rhombus?
a)
yes
b)
no
55.

If points A, B, C are collinear with B between A and C, the segment addition postulate is:

a)

AB + BC = AC

b)

BA + CB = AC

c)

CA + CB = AB

d)

BC + AC = CA

56.
a)

x = -6

b)

x = -9

c)

x = -1

d)

x = -10

57.
What is this?
a)
rectangle
b)
pentagon
c)
octagon
d)
rhombus
58.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
59.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
60.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right 
d)
straight
61.
what is this shape?
a)
quadrilateral
b)
hexagon
c)
pentagon
d)
trapezoid
62.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
63.

Lines that intersect and create a

right angle are called:

a)

line segments

b)

parallel lines

c)

perpendicular lines

d)

ray

64.

A part of a line consisting of two points and all points between them.

a)

ray

b)

endpoint

c)

line segment

d)

plane

65.
Name the angle congruent to <PQM ?
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
66.
What conclusion would you make if the you calculated the slopes to be this?
a)
Opposite sides parallel
b)
Consecutive sides or Diagonals are perpendicular
c)
Opposite sides are congruent
d)
none of these
67.
a)

(3,1)\left(3,-1\right)

b)

(3,1)\left(3,1\right)

c)

(6,2)\left(6,2\right)

d)

(6,5)\left(6,5\right)

e)

(12,10)\left(12,10\right)

68.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
69.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
70.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
71.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
72.
Which best describes the cross-section?
a)
square
b)
triangle
c)
parallelogram
d)
hexagon
73.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

74.
Is this a rectangle?
a)
yes
b)
no
75.
Is this a rectangle?
a)
yes
b)
no
76.
In the figure, <QTS is a right angle, <PTR has a measure of 75 degrees, and <PTQ has a measure of 22 degrees. What is the measure of <RTS?
a)
37 degrees
b)
187 degrees
c)
53 degrees
d)
45 degrees
77.
If you sliced this cone vertically, what 2-d figure would you see?
a)
circle
b)
triangle
c)
rectangle
d)
cone
78.

Name 3 collinear points.

a)

S, Q, R

b)

T, Q, R

c)

S, Q, P

d)

P, Q, R

79.

Which of the following represent the sides of a 30°60°90°30\degree-60\degree-90\degree  triangle?

a)

7, 7, 727,\ 7,\ 7\sqrt[]{2}  

b)

7, 14, 727,\ 14,\ 7\sqrt[]{2}  

c)

7, 14, 1437,\ 14,\ 14\sqrt[]{3}  

d)

7, 14, 737,\ 14,\ 7\sqrt[]{3}  

80.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
81.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
82.
Which is a pair of Alternate Interior Angles?
a)
Angle 1 & Angle 6
b)
Angle 2 & Angle 6
c)
Angle 3 & Angle 8
d)
Angle 5 & Angle 1
83.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
84.
Lisa's door is open at the angle below. About how many degrees is Lisa's door open?
a)
135 degrees
b)
125 degrees
c)
55 degrees
d)
35 degrees
85.
What is the measure of the missing angle?
a)
39
b)
129
c)
119
d)
129
86.
a)
8
b)
12
c)
-4
d)
-8
87.
What type of angle is this? 
a)
acute
b)
obtuse
c)
right
88.
What conclusion would you make if the you calculated the slopes to be this?
a)
Opposite sides parallel
b)
Consecutive sides or Diagonals are perpendicular
c)
Opposite sides are congruent
d)
none of these
89.
What is this shape?
a)
octagon
b)
hexagon
c)
quadrilateral
d)
pentagon
90.

Find the m ∠A.

a)

79 degrees

b)

87 degrees

c)

90 degrees

d)

97 degrees

91.
How is this like a square?
a)
It has 4 right angles
b)
It has one set of parallel sides
c)
all sides are equal length
92.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

93.

If ∠ABC= 103⁰, find m∠ ABD

a)

45

b)

13

c)

57

d)

46

94.
a)

18

b)

19

c)

20

d)

22

e)

25

95.
Find the missing angle.
a)
30° 
b)
31° 
c)
32° 
d)
33° 
96.
a)

300π300\pi

b)

400π400\pi

c)

500π500\pi

d)

600π600\pi

e)

1,600π1,600\pi

97.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
98.
Is this a rectangle?
a)
yes
b)
no
99.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
100.
a)

x = 5

b)

x = 7

c)

x = 8

d)

x = -4

101.
What conclusion would you make if the you calculated the slopes to be this?
a)
Opposite sides parallel
b)
Consecutive sides or Diagonals are perpendicular
c)
Opposite sides are congruent
d)
none of these
102.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
103.

Circle O is in Square EFGH, as shown. The Area of square EFGH is 64 units264\ units^2  . Which of the following is the circumference of Circle O?

a)

16π16\pi  

b)

8π8\pi  

c)

4π4\pi  

d)

2π2\pi  

104.
Find the missing angle.
a)
74
b)
66
c)
35
d)
16
105.
a)

(12,1)\left(-12,1\right)

b)

(12,1)\left(-12,-1\right)

c)

(12,1)\left(12,-1\right)

d)

(1,12)\left(1,12\right)

e)

(1,12)\left(1,-12\right)

106.

Which of the following sides will make an acute triangle?

a)

6, 8, and 10

b)

2, 5, and 9

c)

11, 13, and 20

d)

13, 14, and 23

107.
What is a polygon?
a)
a shape with straight sides and is closed
b)
a shape that is open and curves
c)
a shape that is closed and curves
d)
a shape with 4 sides
108.
Does a triangle with these side lengths exist?
33, 16, 17
a)
Yes
b)
No
c)
I don't know.
109.
Do hexagons have 6 sides?
a)
yes
b)
no
110.
Which set of angles creates a triangle?
a)
40°, 40°, 90°
b)
10°, 80°, 80°
c)
25°, 75°, 75°
d)
35°, 45°, 100°
111.
Angles in the same plane with a common vertex & a common side, but no common interior points.
a)
Vertical
b)
Complementary
c)
Adjacent
d)
Suplementary
112.
How do you show diagonals bisect each other?
a)
Use the distance formula-they would have the same length
b)
Use the midpoint formula-they would be the same
c)
Use the slope formula-they would have opposite reciprocal slopes
d)
Hope I don't have to show this on the test
(Really???)
113.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
114.

Find the midpoint: (2,7),(10,1)\left(2,-7\right),\left(10,1\right)  

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

115.
How do you show the diagonals are congruent?
a)
Measure them with a ruler
b)
Use the midpoint formula
c)
Use the slope formula
d)
Use the distance formula
116.

I am made up of a minimum of 2 points with no thickness or width. What am I?

a)

plane

b)

line segment

c)

line

d)

ray

117.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
118.

If points A, B, C are collinear with B between A and C, the segment addition postulate is:

a)

AB + BC = AC

b)

BA + CB = AC

c)

CA + CB = AB

d)

BC + AC = CA

119.

Find the midpoint: (3,9),(1,5)\left(3,9\right),\left(-1,-5\right)  

a)

(1,2)\left(-1,-2\right)  

b)

(2,7)\left(2,7\right)  

c)

(2,7)\left(-2,-7\right)  

d)

(1,2)\left(1,2\right)  

120.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
121.
Find the slope of the line through each pair of points.
(20,8), (9,16)
a)
-16
b)
-11/8
c)
8/11
d)
-8/11
122.
What is an "Acute" Angle
a)
Angle that measures 180
b)
An Angle that measure 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
123.
What will the same slopes tell you about the quadrilateral?
a)
Opposite sides are parallel
b)
Opposite sides are congruent
c)
Diagonals are congruent
d)
Diagonals bisect each other
124.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

125.
We use the distance formula to do what?
a)
See if opposite sides are parallel
b)
See if opposite sides are congruent
c)
See if diagonals have the same slope
d)
See if diagonals bisect each other