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![Page 1: Similarity](https://reader035.fdocuments.net/reader035/viewer/2022062400/56812b08550346895d8eeae8/html5/thumbnails/1.jpg)
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Similarity
504040
303030303020202020201010101010
Indirect Measurement
SSS~, SAS~, AA~
Similarity Ratio
Similarity Statements
Proportions
![Page 3: Similarity](https://reader035.fdocuments.net/reader035/viewer/2022062400/56812b08550346895d8eeae8/html5/thumbnails/3.jpg)
You want to produce a scale drawing of your living room, which is 24 ft by 15 ft. If you use a scale of 4 in. = 6 ft, what will be the dimensions of your
scale drawing?
10 in. by 16 in.10 in. by 16 in.
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3y 812
y5
3.13340or
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A model is built having a scale of 1 : 100,000. How high would a
35,600-ft mountain be in the model? Give your answer to the nearest tenth
of an inch.
.36.36
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On a blueprint, the scale indicates that 6 cm represent 15 feet. What is the
length of a room that is 9 cm long and 4 cm wide on the blueprint?
22.5 ft. by 10 ft.22.5 ft. by 10 ft.
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n 63n
n 53n 1
-3-3
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Write a similarity statement for the triangles.
FGHCDE ~
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State whether the triangles are State whether the triangles are similar. If so, write a similarity similar. If so, write a similarity
statement.statement.
∆∆ABC ~ ABC ~ ∆MNO∆MNO
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State whether the triangles are State whether the triangles are similar. If so, write a similarity similar. If so, write a similarity
statement.statement.
∆ABD ~ ∆CBD
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In ∆ QRS, QR = 16, RS = 64, and m R = 29. In ∆UVT, VT = 8, TU = 32, and m T = 29.
State whether the triangles are State whether the triangles are similar. If so, write a similarity similar. If so, write a similarity
statement.statement.
∆QRS ~ ∆UVT
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A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?
18:118:1
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The Sears Tower in Chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower?
1:7251:725
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In ∆RST, RS = 10, RT = 15, and m R = 32. In ∆UVW, UV = 12, UW = 18, and m U = 32.
Are the polygons similar? If they are, write a similarity statement and give the similarity ratio.
RST UVW56
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Explain why the triangles are similar. Then find the value of
x.
AAAA~~ 3
24
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Explain why the triangles are similar. Then find the value of
x.
AAAA~~ 3
113
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Are the triangles similar? If so, explain why.
AAAA~~
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Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not to scale.
42.3 m42.3 m
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Use the information in the diagram to determine the height of the tree to the
nearest foot.
80 ft80 ft
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Michele wanted to measure the height of her school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.
20 ft20 ft
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