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Mathematics
7th -
12thgrade
10-4: Perimeters and Areas of Similar Figures
23 questions
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- 1. Multiple ChoiceFind the ratio (red to blue) of the perimeter.9/1414/9196/8181/196
- 2. Multiple Choice
Find the ratio (blue to red) of the area.
11/6
6/11
121/36
36/121
- 3. Multiple Choice
The figures below are similar. The labeled sides are corresponding.
What is the area of the larger square?
25 m2
1.25 m2
20 m2
16 m2
- 4. Multiple Choice
The figures shown are similar. The areas of each figure is given.
What is the ratio of the side length of the smaller triangle to the larger triangle?
4:49
2:7
1:7
1:25
- 5. Multiple Choice
Find the area of polygon B given similar polygons and the scale factor is shown. Round your answer to the nearest tenth.
23.0 m2
18 m2
18.4 m2
12.5 m2
- 6. Multiple Choice
The figures are similar. Find the area of the smaller rectangle.
20 in2
4 in2
10 in2
15 in2
- 7. Multiple Choice
The figures below are similar. The labeled sides are corresponding.
What is the perimeter of the smaller hexagon?
5 cm
1/6 cm
6 cm
not enough info
- 8. Multiple Choice
The figures below are similar. The labeled sides are corresponding.
What is the ratio of the perimeter of the smaller pentagon to the larger pentagon?
9:5
25:81
5:9
81:25
- 9. Multiple Choice
The figures below are similar. The labeled sides are corresponding.
What is the perimeter of the smaller triangle?
23.8 mm
10.2 mm
6.67 mm
4.3 mm
- 10. Multiple Choice
The figures below are similar. The labeled sides are corresponding.
If the ratio of the squares' perimeters is 8:3, what is the value of x?
8 mm
4.5 mm
12 mm
36 mm
- 11. Multiple Choice
Given polygons A and B are similar with corresponding dimensions shown, what is the area of polygon B?
6.67 m2
3.33 m2
10 m2
22.5 m2
- 12. Multiple Choice
Given polygons A and B are similar with corresponding dimensions shown, what is the missing dimension of polygon B?
4.1
16.7
3.3
11.1
- 13. Multiple Choice
The figures are similar. What is the ratio of their perimeters?
18/24
3/4
1/2
36/24
- 14. Multiple Choice
The figures are similar. What is the ratio of their areas?
324/576
3/4
9/16
1/4
- 15. Multiple Choice
The figures are similar. Find the area of the larger rectangle.
108 ft2
54 ft2
6.75 ft2
100 ft2
- 16. Multiple Choice
The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?
4 : 5
16 : 25
64 : 125
8 : 10
- 17. Multiple ChoiceWhich statement best describes what a ratio is.A numberA comparison of two quantities using division.A comparisonA comparison of many things.
- 18. Multiple Choice
If the ratio of 2 round dinner plates is 2 : 5, what is the ratio of their areas?
2 : 5
1 : 5
4 : 10
4 : 25
- 19. Multiple ChoiceThe playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?200: 494100 : 28832 : 48100 : 49
- 20. Multiple Choice
Two hexagons are similar with a scale factor of 4/5. If the area of the larger hexagon is 20, what is the area of the smaller hexagon?
10.24
12.8
16
25
- 21. Multiple Choice
What are similar shapes?
shapes that have the same shape, but not necessarily the same size
a comparison of the sizes of the parts of the scale drawing to the actual sizes on the original object.
sides that are in the same position in different plane figures
sides that have different ratios
- 22. Multiple Choice
If the ratio of perimeters of 2 triangles is 3:4, and the area of the smaller triangle is 324, what is the area of the larger triangle?
81
432
576
243
- 23. Multiple ChoiceThe area of triangle A is 54 and triangle B is 150. What is the scale factor of A to B?9:2527:753:525:9
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