Scaled Copies Worksheet
Explore the concepts of scaled copies, scale factors, and corresponding parts with this Grade 7 Math worksheet.
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Scaled Copies
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following statements is true about scaled copies?
All side lengths are the same as the original.
All angle measures are multiplied by the scale factor.
Corresponding angles are equal, and corresponding side lengths are proportional.
The area of the scaled copy is the scale factor times the area of the original.
2. A rectangle has a length of 10 cm and a width of 5 cm. If it is scaled by a factor of 2, what will be the new dimensions?
Length = 10 cm, Width = 5 cm
Length = 20 cm, Width = 10 cm
Length = 12 cm, Width = 7 cm
Length = 5 cm, Width = 2.5 cm
3. A scaled copy has the same as the original figure, but different .
4. If the scale factor is greater than 1, the scaled copy will be than the original.
5. If the scale factor is less than 1, the scaled copy will be than the original.
6. A triangle has side lengths of 3 cm, 4 cm, and 5 cm. If it is scaled by a factor of 3, what are the new side lengths?
7. Explain what a 'scale factor' is in your own words.
8. All corresponding angles in a scaled copy are congruent to the original angles.
True
False
9. If a figure is scaled by a factor of 0.5, its area will also be 0.5 times the original area.
True
False
10. Draw a rectangle with vertices at (1,1), (4,1), (4,3), and (1,3) on the graph below. Then, draw a scaled copy of this rectangle using a scale factor of 2, with the bottom-left corner at (1,1).