
Geometry 1-2
Name___________________________________
Test #7 Review
Date________________ Period____
State if each pair of triangles is similar. If so, state how you know they are similar (AA, SAS, SSS) and
complete the similarity statement.
1)
2)
Q
F
R

V

H
E
F

G
G
W

HGF ~ ______
EFG ~ ______
3)
4)
W

T
V

V


K 
L

U
K


M
T
KLM ~ ______


TUV ~ ______
Find the missing length indicated.
Solve for x.
5)
6)

?
L





 x
Worksheet by Kuta Software LLC


Find the missing length indicated.
Solve for x.
7)
8)


?

x



Find the missing length indicated.
Solve for x.
9)
10)
?






x
Find the EXACT value of each trigonometric function indicated.
11) sin 
12) tan 






13) csc 
14) cos 
 





15) cot 
16) sec 



 


Worksheet by Kuta Software LLC

Name each figure in as specific a manner as possible.
17)
18)
19)
20)
21)
22)
Find the volume of each right rectangular prism.
23)
24)
6 ft
6 mi
6 ft
3 mi
6 mi
4 ft
4 ft
6 mi
6 ft
6 mi
25)
12 yd
26)
3 yd
8 km
2 km
11 km
12 yd
11 km
12 yd
2 km
12 yd
Find the surface area of each right rectangular prism.
27)
12 cm
12 cm
28)
12 m
10 m
7 cm
12 cm
8m
10 m
12 cm
12 m
29)
30)
2 mi3 mi
2 cm
6 cm
8 mi
6 cm
8 mi
6 cm
6 cm
3 mi
Worksheet by Kuta Software LLC

Find the area of each triangle. Round your answers to the nearest tenth.
31)
32)
D
T
6m
46°
E
10 m
33)
76°
F
S
34)
X
62°
53°
41°
R
S
65°
4 yd
Z
4 ft
6 ft
T
Y
R
9 ft
Find and label the missing angles and sides for each triangle. Round your answers to the nearest tenth.
35)
36)
16
B
C
A
14
A
C
49°
10
B
Find the EXACT value of each trigonometric function indicated.
37) Find sec  if sin  


38) Find csc  if cot  


Find the area of each regular polygon. Round your answers to the nearest tenth.
39)
40)
Perimeter = 48 mi
Perimeter = 28 ft
Worksheet by Kuta Software LLC
41) In the figure below, what is the probability that a randomly-selected point lies in the shaded region?
42) In the figure below, what is the probability that a randomly-selected point lies in the shaded region?
43) What is the definition of skew lines?
44) What is the definition of a dihedral angle?
45) Name the five platonic solids.
46) What is the definition of a face of a geometric solid or other three-dimensional figure?
47) What is the definition of an edge of a geometric solid or other three-dimensional figure?
48) What is the definition of a vertex of a geometric solid or other three-dimensional figure?
49) With regard to a three-dimensional figure, what is a net?
50) a. How many faces does a cube have?
b. How many bases does a cube have?
c. How many sides does a cube have?
d. How many edges does a cube have?
e. How many vertices does a cube have?
51) a. How many faces does a triangular prism have?
b. How many bases does a triangular prism have?
c. How many sides does a triangular prism have?
d. How many edges does a triangular prism have?
e. How many vertices does a triangular prism have?
f. What is the shape of the sides of a right triangular prism?
52) If a right rectangular prism has a length of ten centimeters, a width of seven centimeters, and a height
of twelve centimeters, what is the length of a diagonal of the prism?
53) A flat work of art in the shape of a triangle is hanging on a wall. The length of side one of the artwork is
14 inches, the length of side two is 19 inches, and side three is 16 inches long.
a. What is the perimeter of the work of art?
b. What is the area of the work of art?
c. What are the measures of all three angles formed by the work of art?
54) A real estate agent has just taken a trigonometry class at a local community college. He is considering purchasing
a piece of land and is waiting to see the surveyor’s report before closing the deal. If the surveyor submits the
drawing shown below, explain why the agent might want to reject the sale.
400 feet
71º
370 feet