Download 3 points each

Formal Geometry 2
Chapter 8 Practice Test
Show All Work, Use Pencil
Multiple Choice. 2 points each
Name: ________________________
Date: ________________ Per: ____
Score: ___/80
1 point
_______1. Use the diagram to identify the similar triangles and complete the
CA BA
proportion.
?

BA
?
a. AC
b. BD
c. DC
d. AD
_______2. Find the value of x.
5 2
2
c. 5 2
a.
b. 10 2
d. 5
_______3. Find the perimeter of the triangle, round to the nearest tenth.
a. 42.2 in
b. 37.2 in
c. 39.9 in
d. 39.1 in

_______4. Use the diagram to find the values of x and y.
a.
c.
x5 5
y  10 5
x  5 25
y  10 5
b.
d.
x5 5
y  20 5
x  5 15
y  20 5
_______5. Use the diagram to find the values of x and y.
a.
c.
x3 2
y 3
x3 2
y 2
b.
d.
Chapter 9 Practice Test
x3
y 3 2
x 2
y3
1page score 
10
Formal Geometry 2
Chapter 8 Practice Test
Show All Work, Use Pencil
_______6. Find the area of the figure.
a. 260 ft 2
b. 240 ft 2
c. 120 ft 2
d. 140 ft 2
Name: ________________________
Date: ________________ Per: ____
Score: ___/80
_______7. Find the value of y, round to the nearest hundredth.
a. 3.20
b. 2.55
c. 5.29
d. 4.45

Find the Geometric Mean, x, of the two numbers. 2 points each
8. 3 and 27
9. 8 and 18
Write and solve a proportion to find the value of x. 3 points each
10.
R
x
16
S
T
11.
3
R
8
9
S
T
x
Q
Q
Find the length of the unknown side in the right triangle. 3 points each
12.
13.
c
3
7
page score 
20 9 Practice Test
Chapter
20
8
b
2
Formal Geometry 2
Name: ________________________
Chapter 8 Practice Test
Date: ________________ Per: ____
Show All Work, Use Pencil
Score: ___/80
Determine whether the number represent a Pythagorean triple (answer yes or no). Show
your work. 3 points each
14. 15, 8, 17
15. 3, 4, 6
For #16-19, give exact answers (whole numbers or radicals, NOT DECIMALS)
16. If each leg of an isosceles right triangle is 5 units, what is the length of its
hypotenuse? 2 points each
x
5
45
17. If the hypotenuse of an isosceles right triangle is 12 units, what is the length of a
leg? 3 points each
12
x
45
18. If the hypotenuse of a 30º-60º-90º triangle measures 20 units, find the length of
each leg. 3 points each
60
20
y
30
x
19. If the shortest leg of a 30º-60º-90º triangle measures 7 units, find the length of the
longer leg and the hypotenuse. 2 points each
60
y
7
30
x
Chapter 9 Practice Test
page score 
16
3
Formal Geometry 2
Name: ________________________
Chapter 8 Practice Test
Date: ________________ Per: ____
Show All Work, Use Pencil
Score: ___/80
20. Find the sine, cosine and tangent values of acute angles A and B in right triangle
ABC. Express each answer as a fraction reduces to lowest terms. 6 points
20
12
16
Sin A 
Sin B 
Cos A 
Cos B 
Tan A 
Tan B 

For each problem, use the trigonometric ratio to find the value of x. Round the
decimal to the nearest tenth. 3 points each
21.
22.
24
x
x
35
17

8
Find the measure of angle X. Round to the nearest tenth of a degree. 3 points each
23.
24. X
X
5
4
Z
Z
3
page score 
18 9 Practice Test
Chapter
13
5
Y
12
Y
4
Formal Geometry 2
Name: ________________________
Chapter 8 Practice Test
Date: ________________ Per: ____
Show All Work, Use Pencil
Score: ___/80
25. Find the value of x that makes the triangle a right triangle. 3 points
24
25
x
26. Find the area of the triangle below. 3 points each
15
9
27. The perimeter of a square is 40 cm. Find the length of the diagonal of the square.
3 points
x

Solve the right triangle ABC. Round answers to the nearest tenth. 3 points each
28.
29.
A
A
12
17
C
8
41
B
C
AC=
A=
A =
AB=
B=
BC=
B
page score 
Chapter 9 Practice Test
5
15