Grade 10 Math: Scale Factor Worksheet
This worksheet focuses on understanding and applying the concept of scale factor in geometric figures, including calculating scale factors, finding missing dimensions, and determining area and perimeter relationships.
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Grade 10 Math: Scale Factor Worksheet
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Read each question carefully and answer completely. Show all your work for full credit.
1. If a figure is dilated by a scale factor of 3, how does the area of the new figure compare to the original figure?
It is 3 times larger.
It is 6 times larger.
It is 9 times larger.
It is 27 times larger.
2. A rectangle has a length of 10 cm and a width of 5 cm. If it is dilated by a scale factor of 0.5, what are the new dimensions?
Length = 5 cm, Width = 2.5 cm
Length = 20 cm, Width = 10 cm
Length = 10.5 cm, Width = 5.5 cm
Length = 15 cm, Width = 7.5 cm
3. The ratio of the corresponding side lengths of two similar figures is called the .
4. If the scale factor is greater than 1, the dilation is an .
5. If the scale factor is between 0 and 1, the dilation is a .
6. A triangle has sides of length 4 cm, 6 cm, and 8 cm. If it is dilated to a new triangle with a perimeter of 36 cm, what is the scale factor of the dilation?
7. A map has a scale of 1:5000. If two cities are 10 cm apart on the map, what is the actual distance between the cities in kilometers?
8. If the scale factor between two similar figures is 'k', then the ratio of their perimeters is k^2.
True
False
9. A scale factor of 1 means the figure remains the same size.
True
False
10. Consider the rectangle below with original dimensions. If it is dilated by a scale factor of 2.5, draw the new rectangle and label its dimensions.