WorksheetsSummative Assessment No. 4 (Grade 9)
Total questions: 50
Worksheet time: 13hrs 30mins
Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
2.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
5.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
6.
Find the height of the pole.
a)
4 ft
b)
15 ft
c)
18 ft
d)
2 ft
7.
Solve for x.
a)
2
b)
4
c)
50
d)
40
8.
Solve for x.
a)
2
b)
7
c)
0.5
d)
12
9.
Solve for x.
a)
2
b)
4
c)
10
d)
3
10.
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
d)
8 feet
11.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
12.
Find the width of the river
a)
10 ft
b)
5 ft
c)
8 ft
d)
15 ft
13.
All angles in similar figures are congruent.
a)
True
b)
False
14.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
15.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
16.
Find the missing measure.
a)
12
b)
14
c)
196
d)
168
17.
Solve for x.
a)
100
b)
143
c)
4
d)
95
18.
Click to see image.
a)
A
b)
B
c)
C
d)
D
19.
Click to see image.
a)
A
b)
B
c)
C
d)
D
20.
Click to see image.
a)
A
b)
B
c)
C
d)
D
21.
Marvin's son is 3 ft tall. He casts a shadow of 1 foot. Marvin casts a shadow of 2.5 ft. How tall is Marvin?
a)
3 ft
b)
7.5 ft
c)
1.2 ft.
d)
0.8 ft.
22.
Click to see question.
a)
100 ft.
b)
33.5 ft.
c)
536 ft.
d)
1206 ft.
23.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
24.
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
25.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
26.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
27.
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
28.
Mrs. Ashley used similar triangles to make a design. Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
29.
Pentagon JKLMN is similar to pentagon VWXYZ.
What is the measurement of angle X?
What is the measurement of angle X?
a)
30 degrees
b)
60 degrees
c)
150 degrees
d)
120 degrees
30.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
31.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
32.
Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?
What is the length of line segment XZ?
a)
11 in.
b)
13.5 in.
c)
9 in.
d)
20.25 in.
33.
The two triangular prisms shown above are similar.
What is the value of x, the height of the larger prism?
What is the value of x, the height of the larger prism?
a)
6.8 cm
b)
4 cm
c)
6 cm
d)
7.2 cm
34.
Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?
What is the length of line segment YZ?
a)
3 units
b)
11.6 units
c)
5 units
d)
4.5 units
35.
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
36.
Triangle ABC is similar to triangle XYZ. What is the length of line segment BC?
a)
5 cm
b)
7.5 cm
c)
8 cm
d)
9 cm
37.
Find y.
a)
144
b)
18
c)
72
d)
12
38.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
39.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
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
40.
Solve for X
a)
X = 143
b)
X = 104
c)
X = 44
d)
X = 153
41.
Solve for X
a)
X = 16
b)
X = 4
c)
X = 12
d)
No Answer
42.
Solve for X
a)
X = 8
b)
X = 32
c)
X = 17
d)
X = 7
43.
Solve for X
a)
X = 40
b)
X = 54
c)
X = 45
d)
X = 42
44.
Solve for X
a)
X = 12
b)
X = 60
c)
X = 15
d)
X = 5
45.
Solve for X
a)
X = 77
b)
X = 84
c)
X = 66
d)
X = 76
46.
Solve for X
a)
X = 9
b)
X = 10
c)
X = 13
d)
No answer
47.
Solve for X
a)
X = 5
b)
X = 6
c)
X = 8
d)
X = 7
48.
In similar figures, the lengths of corresponding sides are proportional.
a)
Always true
b)
Sometimes true
c)
Never true
49.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
50.
Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?
What is the length of line segment XZ?
a)
11 in.
b)
13.5 in.
c)
9 in.
d)
20.25 in.
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