In Exercises 9 and 10, show that the triangles are similar and write a similarity statement. Explain your reasoning. 9. 10. 15 27 W 18 10.5 20 36 12 17

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Geometry Exploration: Perimeters and Areas of Similar Rectangles
V On a piece of graph paper, draw a 3-unit by 4-unit rectangle.
V Draw three different rectangles, each similar to the original rectangle. Label them I, II, and III.
1. Use your drawings to complete the chart below.
Area
Rectangle
Original
Perimeter
II
2. Use the information from the first chart to complete the chart below.
Similarity
Ratio of
Ratio of
Perimeters
Areas
Rectangle
I to Original
Il to Original
IIl to Original
Ratio
3. How do the ratios of perimeter and the ratios of areas compare with the similarity ratios?
Transcribed Image Text:Geometry Exploration: Perimeters and Areas of Similar Rectangles V On a piece of graph paper, draw a 3-unit by 4-unit rectangle. V Draw three different rectangles, each similar to the original rectangle. Label them I, II, and III. 1. Use your drawings to complete the chart below. Area Rectangle Original Perimeter II 2. Use the information from the first chart to complete the chart below. Similarity Ratio of Ratio of Perimeters Areas Rectangle I to Original Il to Original IIl to Original Ratio 3. How do the ratios of perimeter and the ratios of areas compare with the similarity ratios?
In Exercises 9 and 10, show that the triangles are similar and write a similarity statement. Explain your reasoning.
9.
10.
27
15
18
10.5
20
36
12
17
V
12
N P
8.
R
Transcribed Image Text:In Exercises 9 and 10, show that the triangles are similar and write a similarity statement. Explain your reasoning. 9. 10. 27 15 18 10.5 20 36 12 17 V 12 N P 8. R
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