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WorksheetsCh. 6 Similarity
Total questions: 42
Worksheet time: 4hrs 14mins
Name
Class
Date
1.
Complete each proportion.
AB / AM = ? / AD
AB / AM = ? / AD
a)
BC
b)
AC
c)
MD
d)
MC
2.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
3.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
4.
Are the triangles similar?
a)
Yes
b)
No
5.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
6.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
7.
Are the triangles similar?
a)
Yes
b)
No
8.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
9.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
10.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
11.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
12.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
13.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
14.
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
15.
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
16.
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
17.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
18.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
19.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
20.
What is a true similarity statement?
a)
ΔQCT~ΔMCP
b)
ΔCQT~ΔCPM
c)
ΔTQC~ΔCMP
d)
ΔCTQ~ΔMQC
21.
Find the value of x.
a)
90/13
b)
56/3
c)
21/8
d)
96/7
22.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
23.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
24.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
25.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
26.
a)
A
b)
B
c)
C
d)
D
27.
Find the missing length indicated.
a)
6
b)
10
c)
5
d)
12
28.
Solve for x.
a)
25
b)
10
c)
-10
d)
-25
29.
Solve for x.
a)
8
b)
6
c)
5
d)
-8
30.
Find the missing length indicated.
a)
42
b)
11
c)
21
d)
30
31.
Find the missing length.
a)
4
b)
6
c)
10
d)
5
32.
Find the missing length.
a)
35
b)
28
c)
42
d)
13
33.
Find the value of x.
a)
10
b)
35
c)
8
d)
None of these
34.
Find the value of x.
a)
4
b)
12
c)
8
d)
16
35.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
36.
Triangle ABC and triangle DEF are similar. If sides AB and DE are in a ratio of 3:4 then the ratio of the areas of the triangles are in the ratio _______.
a)
3:4
b)
9:16
c)
27:64
d)
6:8
37.
Triangle ABC and triangle DEF are similar. If sides AB and DE are in a ratio of 2:3 then the ratio of the perimeters of the triangles are in the ratio _______.
a)
2:3
b)
4:9
c)
8:27
d)
4:6
38.
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.
a)
Perimeter: 11/6
Area: 36/121
Area: 36/121
b)
Perimeter: 11/6
Area: 121/36
Area: 121/36
c)
Perimeter: 4/11
Area: 144/25
Area: 144/25
d)
Perimeter: 4/11
Area: 64/16
Area: 64/16
39.
The two ratios are similar. Find the ratios (red to blue) of the perimeters and of the areas.
a)
Perimeter: 4/6
Area: 25/64
Area: 25/64
b)
Perimeter: 4/16
Area: 8/16
Area: 8/16
c)
Perimeter: 5/8
Area: 25/64
Area: 25/64
d)
Perimeter: 14/9
Area: 121/64
Area:
Area: 121/64
Area:
40.
A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?
a)
Perimeter: 34 in
Area: 58 in₂
Area: 58 in₂
b)
Perimeter: 39 in.
Area: 93.5 in2
Area: 93.5 in2
c)
Perimeter: 15 in
Area: 67 in2
Area: 67 in2
d)
Perimeter: 54 in
Area: 834 in 2
Area: 834 in 2
41.
Find the ratios (red to blue) of the perimeter and the area.
a)
Perimeter : 4/7
Area: 16/49
Area: 16/49
b)
Perimeter: 15/8
Area: 30/16
Area: 30/16
c)
Perimeter: 40/4
Area: 19/15
Area: 19/15
d)
Perimeter: 18/40
Area: 15/30
Area: 15/30
42.
Find the ratios (red to blue) of the perimeter and the area.
a)
Perimeter: 20/54
Area: 58/485
Area:
Area: 58/485
Area:
b)
Perimeter: 3/4
Area: 9/16
Area: 9/16
c)
Perimeter: 58/299
Area: 57/383
Area: 57/383
d)
Perimeter: 5/10
Area: 19/46
Area: 19/46
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