Scaled Copies in Geometry
Explore the properties of scaled copies, including scale factors, corresponding angles, and side lengths. This worksheet is designed for Grade 10 Geometry students.
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Scaled Copies in Geometry
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following statements is true about scaled copies?
All side lengths are equal to the original figure.
All angle measures are proportional to the original figure.
Corresponding angles are congruent.
The area of the scaled copy is the same as the original figure.
2. If a rectangle with dimensions 4 cm by 6 cm is scaled by a factor of 2, what are the new dimensions?
2 cm by 3 cm
6 cm by 8 cm
8 cm by 12 cm
12 cm by 16 cm
3. When creating a scaled copy, all corresponding remain congruent.
4. The ratio of corresponding side lengths in a scaled copy is called the .
5. 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 side lengths of the scaled copy and what is the perimeter of the scaled copy?
6. If a figure is scaled by a factor of 0.5, the scaled copy will be larger than the original.
True
False
7. A scaled copy always has the same orientation as the original figure.
True
False
8. Consider a square with side length 5 units. Draw this square on the coordinate plane. Then, draw a scaled copy of this square with a scale factor of 2, centered at the origin. Label both squares.
Match each term with its definition.
9. Scaled Copy
a. The ratio of corresponding side lengths.
10. Scale Factor
b. A figure that is a dilation of an original figure.
11. Corresponding Angles
c. Angles in the same relative position in two similar figures.