WorksheetsSimilar figures and indirect measure
Total questions: 43
Worksheet time: 1hrs 26mins
Name
Class
Date
1.
Find missing side
a)
5
b)
7
c)
9
d)
11
2.
For the pair of similar figures, find the length of each side marked with a variable.
a)
1.8 in
b)
2.1 in
c)
9.8 in
d)
9.3 in
3.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
4.
What are the missing sides of the triangle?
a)
11 and 12
b)
13 and 11
c)
11 and 14
d)
13 and 12
5.
What is x?
a)
143
b)
91
c)
7
d)
18.9
6.
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
7.
a)
74
b)
100
c)
104
d)
108
8.
a)
6.25
b)
5.5
c)
6
d)
5.75
9.
Read the problem and find the missing measurement. Use labels or pictures to help set up the problem.
A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?
A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?
a)
x = 3 ft.
b)
x = 12 ft.
c)
x = 120 ft.
d)
none of the above
10.
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
11.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
12.
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
13.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
14.
Solve for f.
a)
6
b)
4
c)
3
d)
8
15.
At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow. How tall is the flagpole?
a)
3 feet
b)
10 feet
c)
16 feet
d)
30 feet
16.
A tree is 72 feet tall and has a shadow that is 12 feet long. A nearby tree has a shadow of 5 feet. How tall is the tree?
a)
3 ft.
b)
300 ft.
c)
30 ft.
d)
35 ft.
17.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
18.
Are the triangles similar?
a)
Yes
b)
No
19.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?
a)
72 in
b)
60 in
c)
62 in
d)
80 in
20.
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
21.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
22.
Angles in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
23.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
24.
What is the scale factor from ΔDEF to ΔABC?
a)
2
b)
3/2
c)
2/3
d)
1/2
25.
a)
20
b)
30
c)
25
d)
23
26.
a)
205
b)
105
c)
230
d)
135
27.
a)
15
b)
13
c)
11
d)
17
28.
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
29.
a)
5
b)
10
c)
12
d)
15
30.
a)
28.8 feet
b)
500 feet
c)
45 feet
d)
0.002 feet
31.
A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.
a)
7.5
b)
13.5
c)
1.5
d)
1.7
32.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
33.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km
c)
33 km
d)
192 km
34.
a)
2
b)
7
c)
0.5
d)
12
35.
a)
10 ft
b)
5 ft
c)
8 ft
d)
15 ft
36.
Find side length X.
a)
30
b)
25
c)
15
d)
40
37.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
38.
Find the missing side length.
a)
32
b)
35
c)
20
d)
16
39.
Solve for x.
a)
21
b)
14
c)
12
d)
18
40.
Solve for x.
a)
8
b)
6
c)
10
d)
12
41.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
42.
a)
74
b)
100
c)
104
d)
108
43.
a)
32.4 feet
b)
48.5 feet
c)
16.2 feet
d)
28 feet
100 %
