2. 15 in. 25 in.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Please solve number 2. Show steps.
The figures in each pair are similar. Compare the first figure to the second.
Give the ratio of the perimeters and the ratio of the areas.
1.
2.
3.
ponWhen
Omework
AS com
8 cm
6 m
2 in.
4 in.
15 in.
25 in.
Find the scale factor and the ratio of perimeters for each pair of similar figures.
4. two regular octagons with areas 4:
and 16 ft2
5. two trapezoids with areas 49 cm² and 9 cm²
6. two equilateral triangles with areas 16V3 ft2 and V3 ft?
7. two circles with areas 2T cm² and 200T cm²
Analyze Mathematical Relationships (1)(F) Find the values of x and y when the
smaller triangle shown here has the given area.
8 cm
12 cm
8. 3 cm2
9. 6 cm?
10. 12 cm?
11. 16 cm2
12. 24 cm2
13. 48 cm?
The figures in each pair are similar. The area of one figure is given. Find the
area of the other figure to the nearest whole number.
15.
14.
12 m
18 m
3 in.
6 in.
Area of larger trapezoid = 121 m?
Area of smaller parallelogram = 6 in.2
17.
16.
16 ft
12 ft
3 m
11 m
Area of smaller hexagon = 23 m2
Area of larger triangle = 105 ft²
Transcribed Image Text:The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas. 1. 2. 3. ponWhen Omework AS com 8 cm 6 m 2 in. 4 in. 15 in. 25 in. Find the scale factor and the ratio of perimeters for each pair of similar figures. 4. two regular octagons with areas 4: and 16 ft2 5. two trapezoids with areas 49 cm² and 9 cm² 6. two equilateral triangles with areas 16V3 ft2 and V3 ft? 7. two circles with areas 2T cm² and 200T cm² Analyze Mathematical Relationships (1)(F) Find the values of x and y when the smaller triangle shown here has the given area. 8 cm 12 cm 8. 3 cm2 9. 6 cm? 10. 12 cm? 11. 16 cm2 12. 24 cm2 13. 48 cm? The figures in each pair are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. 15. 14. 12 m 18 m 3 in. 6 in. Area of larger trapezoid = 121 m? Area of smaller parallelogram = 6 in.2 17. 16. 16 ft 12 ft 3 m 11 m Area of smaller hexagon = 23 m2 Area of larger triangle = 105 ft²
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