1. If STUV is a parallelogram, what are the
coordinates of point U?
T(0, y)
6. If QRSTU is a regular pentagon, what is the
measure of T?
U(?, ?)
S(x, 0)
7. Three siblings are to share an inheritance of
$125,250 in the ratio of 4:5:6. What is the
amount of the greatest share?
V(x + z, 0)
2. Find the measure of ABC.
C x+6

A
8. If AE||BD write a similarity statement that
will prove ∆ACE ~ ∆BCD?
x
A
D
B
B
x + 18
x+2
E
C
3. What is the measure of S in parallelogram
QRST?
Q
D
E
R
9. Solve the following equation for x:
2n + 16
3 x
 ?
5 y
4n – 2
T
S
10. A model plane has a wingspan of about 6
inches. The actual airplane has a wingspan
of 18 feet and a length of 24 feet. How long
is the model?
4. What is the measure of A in the rectangle?
A
36°
11. If the area of a triangle is 42 ft2, and it has a
similarity ratio of 1:2 with another triangle.
What is the area of the other triangle?
5. In the figure below, if ABCD is a rectangle,
what type of triangle must ∆ABE be?
A
B
E
D
C
1
12. Find NP.
6
M
N
17. Given ∆ABC ~ ∆JKL, find the perimeter and
area of ∆JKL.
K
P
9
B
Q
8
3
6
R
13. ∆CGL ~ ∆MPS. The similarity ratio of
3
∆CGL to ∆MPS is . What is the length of
4
PS ?
P = 30 ft
A = 36 ft2
A
C
J
L
G
M
16
S
28
L
P
18. Given that ∆KON ~ ∆LOM, find the
coordinates of L and the scale factor.
24
y
C
14. ∆QRS ~ ∆TUV. Find the value of y.
2y + 4
V
Q
6
R
S
10
O
U
y+6
K(2, 0)
L
x
N
(0, –2)
M
(0, -8)
T
15. The similarity ratio of two similar pentagons
5
is . What is the ratio of the perimeters of
7
the pentagons?
19. A tree is standing next to a 50-foot high
building. The tree has an 10-foot shadow,
while the building has a 20-foot shadow.
How tall is the tree, rounded to the nearest
foot?
16. Find BD.
B
3x + 1
20. A house is 39 feet wide and 66 feet long. If
a sketch is made of the house using the scale
1 cm : 3 ft, what are the dimensions of the
sketch?
16
D
x+4
A
8
C
2
21. Write the trigonometric ratio for cosX as a
fraction.
26. An eagle 150 feet in the air spots its prey on
the ground. The angle of depression to its
prey is 30°. What is the horizontal distance
between the eagle and its prey? Round to
the nearest foot.
Y
20
12
Z
X
16
27. Find AB. Round to the nearest tenth.
B
22. Find GH. Round to the nearest hundredth.
G
50°
34°
16.4 in
F
62°
A
C
12
28. Find AC. Round to the nearest tenth.
B
12 105° 10
H
23. Use the trigonometric ratio of sinA = 0.38 to
determine which angle is A.
1
2 cm
A
C
1.6 cm
3
2
29. Find the area of regular octagon with a
radius of 2 cm. Round to the nearest tenth.
1.2 cm
24. Find sinA. Round to the nearest hundredth.
B
8
C
A
15
30. Find the area of the figure below.
25. Classify each angle in the diagram as an
angle of elevation or an angle of depression.
16 cm
4 cm
4
4 cm
3
2
7 cm
4 cm
1
3
31. Find the area of the unshaded part of the
rectangle below.
36. What is the total surface area of a cone with
a radius of 5 cm and a height 12 cm high?
36 m
24m
16 m
15 m
37. What is the total surface area of a regular
cylinder with a radius of 14 cm and height
48 cm high?
7m
32. A right triangle with base 6 in. and height 8
in. has its base and height doubled. What is
the effect on the area of the triangle?
38. Write down the formula for the volume of a
cube, and then find the volume of a cube
with an edge measuring 2.5 cm?
33. Given that both shapes are rectangles, what
is the area of the unshaded region?
6 ft
39. Write down the formula for the surface area
of a sphere, and then find the surface area of
a sphere with a radius of 8 cm?
2 ft
3.5 ft
1.5 ft
40. Write down the formula for the volume of a
cylinder, and then determine the volume of a
regular cylinder with a diameter of 12 cm
and height of 11 cm?
34. Suppose the rectangle is inscribed the circle.
Find the area of the shaded region. Round
to the nearest tenth.
13 m
41. Write down the formula for the volume of a
cone, and then determine the volume of a
cone with a radius of 6 cm and a slant height
of 10?
12 m
35. What is the total surface area of a regular
pyramid with a square base measuring 7 cm
by 7 cm and lateral faces with a slant height
measuring 4 cm? Round your answer to the
nearest tenth if necessary.
4
42. What is the volume of a regular pyramid
with a square base measuring 3 2 cm by
3 2 cm and lateral edges measuring 12
cm?
46. Given the circumference of the circle is 64π
and the measure of arc JK is 115°, find the
length of arc JK.
J
115°
12
K
47. Given that AB and AC are tangent to the
circle, find AB.
C
4x + 10
3 2
3 2
43. What is volume of a sphere with a radius of
4.5 cm?
A
6x – 2
B
48. Find mP.
Q
44. The base of a triangular prism is an
equilateral triangle with perimeter of 42
inches. If the height of the prism is 6 inches,
find the lateral surface area.
99°
T
P
S
45. Find the total surface area of the composite
figure.
3
12
6
5
96°
For Questions 49 - 51 use the diagram below.
AB is tangent to the circle and BE is a diameter.
E 25°
R
T
P
54. Find XT.
W
S
4
10 X
Y 4
Z
8
T
135°
A
55. Solve for x. Round your answer to the
nearest tenth if necessary.
B
C
49. Find mRBC.
x
7
5
11
56. Find the area of the sector.
50. Find mBTP.
A
135
C
8 in
B
51. Find mBPE.
57. Find the center and the length of the radius
of the circle.
52. Find the measure of arc XZ.
Z
105°
30°
(y – 5)2 + (x + 3)2 = 19.
Y
X
W
53. Find mP.
165°
R
T
75°
S
P
Q
85°
6