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WorksheetsPA: Similar Figures, Indirect Measurement, and Scale
Total questions: 35
Worksheet time: 6hrs 48mins
All angles in similar figures are congruent.
True
False
Two objects that are the same shape but not the same size are _______.
Congruent
Vertical
Similar
Complementary
Sides in similar figures must be proportional.
True
False
Find missing side
5
7
9
11
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?
3 in
2 in.
4 in
1 in
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?
72 in
60 in
62 in
80 in
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
3.75
9.75
10
12
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)
24 feet
21 feet
27 feet
32 feet
The __________ shows the relationship between the two similar figures.
scale drawing
indirect measurement
scale factor
scale model
Find the height of the statue.
20
30
25
23
Find the height of the building.
74
100
104
108
Find the height of the flagpole.
15
13
11
17
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?
3 feet
10 feet
16 feet
30 feet
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?
3 ft.
300 ft.
30 ft.
35 ft.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
200 miles
175 miles
100 miles
125 miles
From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.
300 miles
1000 miles
900 miles
600 miles
A blueprint was using a scale of 3cm = 4.5m. Find the actual length if it is 5cm on the drawing. (Hint: simplify the scale first)
7.5
13.5
1.5
1.7
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
14 in
7 in
42 in
56 in
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
9ft x 10ft
1ft x 2ft
12ft x 6ft
18ft x 20ft
What is the scale factor of the triangle on the left to the triangle on the right.
2
3/2
2/3
1/2
What is the scale factor from ΔDEF to ΔABC?
1/2
7/3
2
10/3
The term "corresponding" means ...
congruent
similar
matching
multiply
If the scale on a map is 2 in = 5ft, what is the scale factor?
2/25
1/30
2.5
1/2.5
This symbol stands for ...
is corresponding to
is proportional to
is congruent to
is similar to
In a scale drawing of a car, the car is 5 in long. If the actual length of the car is 10 ft, what is the scale?
x 2
2 ft:1 in
1 in:2 ft
1/2 ft
Find the scale factor if the scale is 2 in: 80 ft.
2/80
1/40
1/24
1/480
Find the scale factor if the scale is 8 cm:64 m.
1/800
1/8
1/80
8
When is the Chapter 5 Test?
Tuesday, January 14
Monday, January 13
Friday, January 17
What test???
The length of a object on a scale model is 4 inches, and its actual length is 82 feet. What is the scale (with a numerator of 1)?
2:41
1 in:20.5 ft
4 in:82 ft
1:246
