WorksheetsDay 1 Final Review
Total questions: 51
Worksheet time: 4hrs 20mins
Name
Class
Date
1.
Are the triangles similar?
a)
Yes
b)
No
2.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
5.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
6.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
7.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
8.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
9.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
10.
Find the value of x.
a)
6.92
b)
18.67
c)
2.625
d)
13.71
11.
Solve for X
a)
7.5
b)
4.8
c)
13.33
d)
5
12.
Solve for x.
a)
3
b)
6
c)
8
d)
9
13.
a)
7
b)
12
c)
6
d)
4
14.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
15.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
16.
a)
20
b)
30
c)
25
d)
23
17.
a)
15
b)
13
c)
11
d)
17
18.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
19.
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
a)
2:5
b)
5:3
c)
3:5
d)
2:3
20.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
21.
Solve for the variable x.
a)
x = 10
b)
x = 25
c)
x = 11.66667
d)
x = -25
22.
Solve for the variable x.
a)
x = 15
b)
x = 24
c)
x = 20
d)
x = -20
23.
What if the value of x?
a)
16
b)
12
c)
4
d)
64
24.
What is the value of f?
a)
20
b)
15
c)
25
d)
50
25.
Find the value of x.
a)
15√5
b)
5√5
c)
5√3
d)
3√5
26.
Find the value of y.
a)
4
b)
2√6
c)
6√2
d)
12
27.
Find the value of x.
a)
2√7
b)
7√2
c)
√28
d)
28
28.
Find the value of z.
a)
6
b)
12√5
c)
12
d)
5
29.
Find the geometric mean for 4 and 9.
a)
6
b)
2√3
c)
3√2
d)
8
30.
Find the geometric mean for 5 and 8
a)
4
b)
10
c)
2√10
d)
4√10
31.
x=?
a)
3
b)
5
c)
4
d)
6
32.
ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?
a)
SP and SR
b)
QS and PT
c)
PS and RS
d)
TP and RQ
33.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
34.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
35.
∠A = ≅
a)
∠M
b)
∠N
c)
∠L
36.
Review the picture. Find the missing side measurement in the picture using a proportion.
a)
w = 18 m
b)
w = 6 m
c)
6 m
d)
w = 0.16 m
37.
Which side length corresponds with EF?
a)
MN
b)
LM
c)
OL
d)
EH
38.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
39.
Are the triangles similar?
a)
Yes
b)
No
40.
Are the triangles similar?
a)
Yes
b)
No
41.
Solve for f.
a)
6
b)
4
c)
3
d)
8
42.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
43.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
44.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
45.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
46.
What is the similarity statement for the triangle pair?
a)
∠Y~∠W
b)
∠X~∠N
c)
∠Z~∠E
d)
∠Z~∠W
47.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
48.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
49.
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
a)
5:6
b)
6:5
c)
4:7
d)
2:3
50.
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
a)
2:5
b)
5:3
c)
3:5
d)
2:3
51.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
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