WorksheetsUnit 5 Test Review (Geometry)
Total questions: 54
Worksheet time: 3hrs 20mins
Name
Class
Date
1.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
2.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
3.
There are 13 boys and 10 girls in the classroom. What is the ratio of boys to girls?
a)
10 to 13
b)
23 to 13
c)
13 to 10
d)
23 to 10
4.
If there are 5 soccer players, 10 baseball players, and 15 basketball players, what is the ratio of baseball players to soccer players?
a)
1 to 2
b)
1 to 3
c)
2 to 1
d)
3 to 1
5.
If the rangers won 100 games out of 160 games, what is the simplified ratio of wins to losses?
a)
10 to 6
b)
5 to 3
c)
6 to 10
d)
3 to 5
6.
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal computer?
a)
7 homes
b)
39 homes
c)
73 homes
d)
40 homes
7.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
25 pieces
b)
35 pieces
c)
75 pieces
d)
70 pieces
8.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
9.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
10.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
11.
A triangle has sides measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
12.
a)
A
b)
B
c)
C
d)
D
13.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
14.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
15.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
16.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
17.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
18.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
19.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
20.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
21.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
22.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
23.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
24.
Is DE parallel to BC?
a)
Yes
b)
No
25.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
26.
Find the value of a.
a)
a = 45
b)
a = 15
c)
a = 5
d)
a = 8
27.
Find the value of x.
a)
x = 28
b)
x = 32.14
c)
x = 63
d)
x = 42
28.
Find the value of x and y.
a)
x = 2.5 , y = 2.25
b)
x = 2.25, y = 2.5
c)
x = 5, y = 2.25
d)
x = 2.5, y = 1.5
29.
Each pair of polygons is similar, find the value of x. Show all work on your work sheet
a)
x = 9
b)
x = 5
c)
x = 10
d)
x = 2.25
30.
The polygons shown are similar. What is the scale factor of WXYZ to PQRS? Show all work on your work sheet.
a)
2/3
b)
3/2
c)
9/12
d)
3/4
31.
Solve the proportion. Show all work on your work sheet.
a)
x = 4/3
b)
x = 15
c)
x = - 15
d)
x = 2
32.
Solve the proportion. Show all work on your work sheet.
a)
x = 3
b)
x = 25
c)
x = 30
d)
x = 14.7
33.
Find x
a)
10.5
b)
5
c)
8.5
d)
6
34.
Why are the triangles similar?
a)
AA~
b)
SAS~
c)
SSS~
d)
AAS~
35.
If the triangles are similar, find y.
a)
3
b)
3.5
c)
4
d)
4.5
36.
If the triangles are similar, find x
a)
90
b)
60
c)
30
d)
15
37.
Find the height of the larger frame.
a)
60 inches
b)
55 inches
c)
30 inches
d)
75 inches
38.
Find the value of x
a)
6
b)
12
c)
23
d)
8
39.
A dilation is which of the following:
a)
An enlargement
b)
A reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
40.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
41.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
42.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
43.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
44.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
45.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
46.
If a dilation produces a congruent figure, then the scale factor was equal to _____.
a)
1/2
b)
2
c)
10
d)
1
47.
What is the scale of a drawing where a 6 m wall is 4 cm long?
a)
1 cm = .66 m
b)
1 cm = 1.5 m
c)
1 cm = 3 m
d)
1 cm = 4 m
48.
A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?
a)
2 feet = 50 yards
b)
1 foot = 200 yards
c)
1 foot = 100 yards
d)
1 foot = 50 yards
49.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
50.
Change both measurements to the same unit of measure, and find the scale factor:
1 ft model of a 1 in. fossil
1 ft model of a 1 in. fossil
a)
12/1
b)
6/1
c)
18/1
d)
24/1
51.
Name the parallel segment if triangle MNP is composed of midsegments.
a)
WY
b)
YX
c)
WX
d)
PN
52.
Name the parallel segment if triangle MNP is composed of midsegments.
a)
MN
b)
NP
c)
MP
d)
HI
53.
The angles of a triangle have a ratio of 2:3:5. What is the measure of the smallest angle?
a)
18
b)
36
c)
54
d)
90
54.
Find length of segment AB.
a)
x = 810
b)
x = 21.6
c)
x = 33.75
d)
x = 67.5
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