Name:
________________________________________
Period: ______
2015 Semester Exam Review
1. A stage floor was built in the shape of a regular
hexagon. The length of each side is 20 feet, and the
apothem is 18 feet. Find the area of the
hexagon.
2. WXYZ is a parallelogram. Find WX.
6. In trapezoid PQRS, what is the length of midsegment
XY?
7.
What would the total volume be for 8 rectangular
prisms with the dimensions listed below.
3. What is the sum of the interior angles of a regular
a. Pentagon
8.
∆ABC is similar to ∆DEF.
b. Decagon
4. JKLM is a parallelogram. What is the mL?
What is the perimeter of ∆DEF?
5. Which is not always true?
a. A square is a rhombus.
b. A rectangle is a parallelogram.
c. A parallelogram is a trapezoid.
d. A square is a rectangle.
9.
One square has sides 14 ft long. Another square has
sides 19 ft long. Find the ratio of the areas of the
rectangles.
10. Find NC.
14. Baxter built a sandbox for his children, as shown
below.
If each bag contains approximately 570 cubic inches
of sand, what is total number of bags that Baxter
used to completely fill the sandbox?
11. A telephone pole is standing next to a 44-foot high
tree. The telephone pole has a 22-foot shadow,
while the tree has an 18-foot shadow. How tall is
the telephone pole to the nearest foot?
15. Find the area of the figure below.
12. A moving company uses an 8-foot ramp that extends
from the bottom of the truck to the ground. The
distance from the bottom of the truck to the ground
is 3 feet. How far along the ground does the ramp
extend? Round to the nearest tenth of a foot.
20 cm
11.5 cm
16. What is mTRS?
13. Find the area of the parallelogram below.
17. Find the circumference of the circle below.
(leave answer in terms of π)
12 in
2
18. Given isosceles trapezoid ABCD with CB ≅ AD, find
mD and CB.
23. The preimage for a reflection is shaded.
Which represents the mapping?
12
50 ̊
A ABCD → HEFG
B GHEF → ADCB D
19. What is the area of the trapezoid?
6 cm
C BCDA→ FEHG
D ABC → FGHE
24. Draw the 90° rotation of the triangle around the
origin.
8cm
10 cm
20. Find the area of the composite figure. Round to the
nearest tenth.
14 mm
15 mm
25. Ginny made a cylindrical clay vase for her art
project. If the vase has a volume of 1500 cubic
inches and a diameter of 18 inches, what is the
height of the vase?
10 mm
8.2 mm
21. How many faces, edges, and vertices does a
pentagonal pyramid have?
26. What is the volume of the rectangular prism?
22. Find the volume of the cone. (Use 3.14 for π)
8 in
20 m
4 in
12 in
15 m
3
27. Find the surface area of the figure below.
32. Find mF. Round to the nearest degree.
15 ft
10 ft
10 ft
33. Peyton is in Paris looking at the Eiffel Tower. The
angle of elevation from her feet to the top of the
statue is 44°. If she is standing 956 feet from the
tower, how tall is the tower? Round to the nearest
foot.
28. Find cos A as a simplified fraction
A
41
9
B
40
C
29. Find sin C as a simplified fraction.
34. A helicopter is 300 yards in the air. The pilot spots
the enemy at an angle of depression of 30°. What is
the horizontal distance between the helicopter and
the enemy? Round to the nearest yard.
30. Find the following. Round the trig ratios to the
nearest hundredth and angles to the nearest degree.
Ratios
Angles
a) cos 35°
d) cos-1 (.358)
b) sin 55°
e) tan-1 (1.483)
c) tan 20°
f) sin-1 (.906)
31. Find GH and GF. Round to the nearest hundredth.
35.
4
36. What is the name of the 3-dimensional figure that
the net below represents?
40. What is the arc length of RS?
37. Bella grabbed a slice of pizza out of the Domino’s
Pizza box to eat for lunch. What is the area of her
slice of pizza?
41. Find the radius of the circle if AP = 12
and OP = 13.
38. Find HG.
39. Find the value of x.
5
Answer Key
1. A= 1080 ft2
2. x = 7 so WX = 30
3. a) 540o b) 1440o
4. x = 8, so m<L = 65o
5. C
6. XY= 48 cm
7. 38,400 cm2
8. P = 32
9. 196 / 361
10. NC = 27.5
11. 54 ft.
12. 7.4 ft.
13. 108 cm2
14. V = 15,120 in3, so 27 bags needed
15. 115 cm2
16. m<TRS = 81o
17. 24π in
18. m<D = 130o; CB = 12
19. 64 cm2
20. 152.6 mm2
21. F = 6; E = 10; V = 6
22
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
1500
C
K’ (1, 3), L’ (-2, 1), J’ (-2, 4)
5.90 in
384 in3
SA = 400 ft2
cos A = 9/41
sin C = 3/5
a) .82 b) .82 c) .36
d) 69o e) 56o f) 65o
GH = 41.13; GF = 34.10
m<F = 45o
923 ft.
520 yd.
125o
cylinder
30π in2 or 94.2 in2
x = 11, so HG = 21
x = 63o
2π cm or 6.28 cm
OA = 5
6
Vocabulary
You should know the definitions and/or formulas associated with the following terms:
Regular Polygon
Sine
Intercepted Arc
Hexagon
Cosine
Major Arc
Parallelogram
Tangent
Minor Arc
Pentagon
Circle
Point of Tangency
Decagon
Apothem
Secant of a Circle
Consecutive Interior Angles
Composite Figure
Area of a Sector
Square
Diameter
Semicircle
Rhombus
Radius
Tangent of a Circle
Rectangle
π
Concentric Circles
Trapezoid
Midsegment of a trapezoid
Base Angles of a trapezoid
Similar
Similar Polygons
Perimeter
Similarity Ratio
Ratio of the Areas in Similar
Polygons
Area
Scale Factor
Indirect Measurement
Dilation
Angle of Depression
Angle of Elevation
Chord
Cone
Height
Cube
Altitude
Cylinder
Edge
Face
Vertex
Prism
Pyramid
Sphere
Surface Area
Volume
Measure of an Arc
Arc Length
Central Angle
Inscribed Angle
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