Font size
S
M
L
XL
WorksheetsGeo Ch 7 Similarity
Total questions: 91
Worksheet time: 11hrs 54mins
Name
Class
Date
1.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
2.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
3.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
4.
What would you use to prove the triangles similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
5.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
6.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
7.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
8.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
9.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
10.
What would you use to prove the triangles similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
11.
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
12.
Are the two figures similar?
a)
yes
b)
no
13.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
14.
What is the name of a 10-sided polygon?
a)
Dodecagon
b)
Decagon
c)
Nonagon
d)
Ocatgon
15.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
16.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
17.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
18.
Solve for x. The two figures are similar.
a)
x = 8
b)
x = 2
c)
x = 4
d)
x = 6
19.
Solve for x
a)
1/24
b)
29
c)
28
d)
x
20.
Find the missing angle.
a)
38°
b)
42°
c)
58°
d)
60°
21.
Identify the value for z.
a)
90°
b)
360°
c)
122°
d)
180°
22.
Solve for y.
a)
28
b)
14
c)
56
d)
18⅔
23.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
24.
A __________________ is always a rhombus, but a rhombus is not always a _______________.
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
25.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
26.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
27.
Find the midsegment.
a)
9.2
b)
18.4
c)
None of these
d)
10.2
28.
Find Angle 1, Angle 2, and Angle 3.
a)
Angle 1 = 45, Angle 2 = 45, Angle 3 = 135
b)
Angle 1 = 135, Angle 2 = 55, Angle 3 = 55
c)
Angle 1 = 55, Angle 2 = 55, Angle 3 = 125
d)
Angle 1 = 40, Angle 2 = 40, Angle 3 = 135
29.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
30.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
31.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
B
36.
a)
A
b)
B
c)
C
d)
D
37.
What similarity theorem would you use to prove these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
BUCK∼
38.
Solve for f.
a)
6
b)
4
c)
3
d)
8
39.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
40.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
41.
Find side length X.
a)
30
b)
25
c)
15
d)
40
42.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
43.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
44.
TRUE OR FALSE:
Triangles YUZ and YUX are similar to triangle XYZ.
a)
True
b)
False
45.
CHECK ALL THAT APPLY:
The hypotenuse of a right triangle is always...
a)
Opposite the right angle.
b)
The longest side of the triangle.
c)
Equal to the lengths of the legs.
d)
Half the length the adjacent leg.
46.
Find the geometric mean of 5 and 20.
a)
10
b)
15
c)
25
d)
50
47.
Find the geometric mean of 4 and 9.
a)
13
b)
6
c)
18
d)
97
48.
What is the value of y?
a)
2
b)
√3
c)
4
d)
√5
49.
What is the value of x?
a)
√3
b)
3
c)
√20=2√5
d)
6
50.
To find the height of a very tall pine tree, you measure your shadow and the tree's shadow. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
51.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
52.
In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 25 dogs at the shelter, how many cats do they have?
a)
15
b)
18
c)
21
d)
32
53.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
54.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
55.
Solve for x.
a)
3
-----
10
-----
10
b)
10
-----
3
-----
3
c)
44x+24
-----------
(2x+4)(4)
-----------
(2x+4)(4)
d)
30
------
3.1
------
3.1
56.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
57.
The ratio of the side length of Square A to the side length of Square B is 4:9. The side length of square A is 12 yards. What is the perimeter of square B?
a)
18 yd
b)
108 yd
c)
27 yd
58.
Solve for x.
a)
x = 17/8
b)
x = 81/8
c)
x = 8
d)
x = 2
59.
Find the value of the variable. Round to the nearest tenth if needed.
a)
1
b)
2
c)
3.5
d)
4.2
60.
Find the value of the variable. Round to the nearest tenth if needed.
a)
7.9
b)
11.6
c)
10.2
d)
13.7
61.
Find the value of the variable. Round to the nearest tenth if needed.
a)
5.8
b)
3.9
c)
8.3
d)
9.7
62.
Find the value of the variable. Round to the nearest tenth if needed.
a)
3.2
b)
4
c)
5
d)
6.5
63.
Find the value of the variable. Round to the nearest tenth if needed.
a)
16
b)
7.3
c)
7
d)
5.3
64.
Find the value of the variable. Round to the nearest tenth if needed.
a)
4.8
b)
6.9
c)
1.3
d)
0.8
65.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
66.
Solve for the variable x.
a)
x = 8.5
b)
x = 10
c)
x = 1
d)
x = 2
67.
Solve for the variable x.
a)
x = 10
b)
x = 25
c)
x = 11.66667
d)
x = -25
68.
Solve for the variable x.
a)
x = 7.2
b)
x = 9
c)
x = 12
d)
x = 9.6
69.
Solve for the variable x.
a)
x = 16.8
b)
x = 26.25
c)
x = 8.6
d)
x = 2.4
70.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
71.
What is the length of the Midsegment?
a)
6
b)
9
c)
12
d)
18
72.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
73.
The lengths of the sides of a triangle are 5, 12, and 13. What is the length of the longest side of a similar triangle whose perimeter is 90?
a)
13
b)
15
c)
36
d)
39
74.
All angles in similar figures are congruent.
a)
True
b)
False
75.
What are matching sides of similar figures?
a)
Corresponding Sides
b)
Corresponding Angles
c)
Scale Factor
76.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
3/2
c)
2
d)
3
77.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
78.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
79.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
80.
Which similarity statement is true for the triangles shown?
a)
ΔABC ∼ ΔDEF
b)
ΔABC ∼ ΔFED
81.
Which proportion is correct?
a)
b)
82.
Which coordinates for V make ΔSOT ∼ ΔUOV?
a)
(0, 6)
b)
(4, 0)
c)
(6, 0)
d)
(8, 0)
83.
The perimeter of a rectangle in 154 ft. The ratio of length to width is 10:1. Find the length and width.
a)
l=140
w=14
w=14
b)
l=70
w=7
w=7
c)
l=7
w=70
w=70
d)
l=14
w=140
w=140
84.
Find the geometric mean between 4 and 9.
a)
6
b)
2√3
c)
3√2
d)
8
85.
Find the geometric mean between 2 and 25.
a)
5
b)
2√5
c)
2
d)
5√2
86.
Write the ratio as a fraction in simplest form.
15 girls to 6 boys
15 girls to 6 boys
a)
5 to 2
b)
5/3
c)
3 to 5
d)
5/2
87.
In a certain apartment building, the ratio of
tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
88.
Find the missing length indicated.
a)
16
b)
8
c)
10
d)
14
89.
Find the missing angle.
a)
30°
b)
31°
c)
32°
d)
33°
90.
Solve for x.
a)
x = 2
b)
x = -1
c)
x = 1
d)
x = 5
91.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
Reset
