WorksheetsGeometry End of Year Review
Total questions: 45
Worksheet time: 11hrs 15mins
Name
Class
Date
1.
What is the length of the line with endpoints (5, 3) and (9, 1)?
a)
5.4
b)
10
c)
4.5
d)
20
2.
The shadow of a building is 8 meters long on level ground. The building and the ground are perpendicular to each other. The angle of elevation from the tip of the shadow to the top of the building is 42 degrees. Based on this information, calculate the height of the building.
a)
8.9 m
b)
18.3 m
c)
3.5 m
d)
7.2 m
3.
Which ratio would you use to find the length of the side labeled c?
a)
sin 39 = 6/c
b)
sin 39 = c/6
c)
cos 39 = 6/c
d)
cos 39 = c/6
4.
Write the equation of the circle on the graph.
a)
(x + 2)^2 + (y - 5)^2 = 9
b)
(x - 2)^2 + (y + 5)^2 = 9
c)
(x - 2)^2 - (y + 5)^2 = 9
d)
(x + 2)^2 - (y - 5)^2 = 9
5.
What is the measure of arc AC in the figure if angle AOC is 56 degrees?
a)
112 degrees
b)
56 degrees
c)
28 degrees
d)
none of these
6.
What is the measure of angle ABC if angle AOC is 48 degrees?
a)
24 degrees
b)
48 degrees
c)
96 degrees
d)
none of these
7.
A line segment has an endpoint at (4, -2) and a midpoint at (8, 4).
What is the other endpoint?
What is the other endpoint?
a)
(12,10)
b)
(20, 6)
c)
None of these
8.
In triangle ABC, AB = 25, BC = 17, and AC = 40. List the angles in order from smallest to largest.
a)
A, C, B
b)
A, B, C
c)
C, B, A
d)
B, C, A
9.
Solve for x.
a)
6
b)
-6
c)
5
d)
30
10.
Are the polygons similar?
a)
Yes
b)
No
11.
Find x.
a)
√100
b)
14
c)
10
d)
√14
12.
Find x.
a)
√33
b)
33
c)
3
d)
4
13.
Find x and y.
a)
x=8√2, y = 8
b)
x = 8, y = 16
c)
x=8, y = 8√2
d)
x = 8, y = 16√2
14.
Find x and y.
a)
x=4, y = 2
b)
x=2, y = 4
c)
x=√3, y = 2√3
d)
x=2√3, y=√3
15.
Find the area.
a)
525cm2
b)
500cm2
c)
400cm2
d)
355cm2
16.
Find the area.
a)
472in2
b)
944in2
c)
475in2
d)
645in2
17.
If each leg of a 45-45-90 triangle measures 2 centimeters, what is the perimeter of the triangle?
a)
6
b)
4
c)
4+2√2
d)
6√2
18.
What is the volume of the triangular prism?
a)
960
b)
1920
c)
3840
d)
2400
19.
What is the surface area of the rectangular prism?
a)
160
b)
184
c)
92
d)
140
20.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
21.
Which angles are corresponding angles?
a)
∠p and ∠t
b)
∠o and ∠q
c)
∠r and ∠s
d)
∠n and ∠p
22.
Line a is parallel to line b. The measure of ∠3 = 75. Find m∠6. The diagram is not to scale.
a)
75 degrees
b)
255 degrees
c)
105 degrees
d)
69 degrees
23.
What best describes the relationship between angles Q and B?
a)
Acute
b)
Supplementary
c)
Complementary
d)
Right
24.
What is the value of x?
a)
45
b)
8
c)
4
d)
20
25.
Lines that have opposite reciprocal slopes are
a)
parallel
b)
perpendicular
26.
a)
a
b)
b
c)
c
d)
d
27.
a)
a
b)
b
c)
c
d)
d
28.
a)
a
b)
b
c)
c
d)
d
29.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
30.
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)
31.
What would the new point be if you rotated the point (4,9) 180°about the origin?
a)
a. (-9,4)
b)
b. (-4,-9)
c)
c. ( 9, -4)
d)
d. (4,9)
32.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
33.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
34.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
35.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
36.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
37.
Find the volume.
a)
150.8 mm3
b)
904.8 mm3
c)
452.4 mm3
d)
2714.3 mm3
38.
In a circle, if a diameter is is perpendicular to a chord, then:
a)
it bisects the chord
b)
it bisects the corresponding arc
c)
it bisects BOTH the chord and its arc
d)
none of these answers are correct
39.
In a circle, if a diameter bisects a chord (that is not a diameter), then:
a)
it is a secant
b)
it is parallel to the chord
c)
it is perpendicular to the chord
d)
it is just shaking out the sillies
40.
QS is a tangent to circle P. Find QS.
a)
144
b)
14
c)
12
d)
13
41.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
42.
Write the if-then statement that follows from the pair of true statements. If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.
a)
If a number is divisible by 10, then it is even,
b)
If a number is even, then it is divisible by 10.
c)
If a number is divisible by 2, then it is even.
d)
If a number is even, then it is divisible by 2.
43.
Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.
If you earn more than $14, then you can buy a new CD.
You earn $15.
a)
you can buy a new CD
b)
you cannot buy a new CD
c)
no conclusion can be made
d)
you earn more than $14
44.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
45.
What is the "reason" for step 4 of the proof?
a)
proof
b)
AAS
≅ Thrm
≅ Thrm
c)
ASA
≅ Thrm
≅ Thrm
d)
SAS
≅ Thrm
≅ Thrm
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