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Name ________________________________ Date _______________________
Geometry A Unit 8 Test Review
Part I: Ratios and Proportions
In #’s 1-3, write the ratio in lowest terms
1.
8 weeks
10 days
4. Out if 500 people that were in the
auditorium, 450 were students, and
the rest were teachers. What is the
ratio of teachers to students?
2.
6 meters
150 cm
5. A model of a city was 8 feet wide
and 6 feet long. If the city is actually
24 miles wide, how long is it?
6. The ratio of water to cleanser in a
7. The ratio of the angles in a quadrilateral
container is 7:2. How many gallons
is 1:4:5:8. Find the measure of each angle
of cleanser are in it if there is 45 gallons
in the quadrilateral..
of the mixture?
Part II: Similar Figures
8. Definition of Similar Figures
A. Corresponding angles in similar figures are _________________________.
B. Corresponding sides of similar figures are not equal. Instead, they are
_________________________________.
X
25
W
9. Scale Factor Questions
a) What is the scale factor of LMNP to WXYZ?
18
5
L
b) What is the ratio of the perimeter of LMNP to
the perimeter of WXYZ?
M
6
P
Y
Z
N
c) What is the ratio of the area of LMNP to the area of WXYZ?
10. Proving that two triangles are similar.
There are three “shortcuts” for showing that triangles are similar. They are:
___________, _____________ and _____________
11.
B
In the following, tell a) which shortcut you tried to use to determine whether the
triangles were similar.
b) answer the question “are the triangles similar?”
c) Give the similarity statement.
d) Give the statement of proportionality.
A
G
H
12.
107o
C
o
10
40
20
E
J
40o
126
63
o
D 43
F
L
K
a) “Shortcut” ___________
a) “Shortcut” ___________
b) YES or NO
b) YES or NO
c)  __ __ __ ~  __ __ __
c)  __ __ __ ~  __ __ __
d)


d)


X
D
13.
A
12
15
F
14.
8
10
E
Z
W
B
C
G
Y
a) “Shortcut” ___________
a) “Shortcut” ___________
b) YES or NO
b) YES or NO
c)  __ __ __ ~  __ __ __
c)  __ __ __ ~  __ __ __

d)

K
15.

d)

16.
T
6
P
J
12
33
9
22
R
H
M
S
44
Q
L
a) “Shortcut” ___________
a) “Shortcut” ___________
b) YES or NO
b) YES or NO
c)  __ __ __ ~  __ __ __
c)  __ __ __ ~  __ __ __

d)
U


d)

Find the missing sides, angles or variables.
 ABC ~  DEF
17.
18. GHJK ~ LMNP
E
x
71o
A
B
82o
8
3
D
10
F
C
25
AB = _________  F = ________
J
15
K
2x
L
H
83 – yo
18
8y + 2
P
60
o
10
G
M
x = _______ y = ________
N
19.  STV ~  WXY
b+2
S
T
W
15
12
b+8
V
a
Y
a = ________
X
30
b = ________
III. Parallel Lines and Other Proportionality
20. Find a
21. Find b.
8
28
24
b
a
21
6 5
a = _______
b = _______
22. Find c
12
23. Find RS
c
R
2
5
8
3
3
2
S
c = ________
RS = ________