Scaled Copies Worksheet
Explore the properties of scaled copies, including scale factor, angles, and side lengths, with this Grade 11 math worksheet.
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Scaled Copies: Grade 11 Math
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Triangle ABC has side lengths AB = 3 cm, BC = 4 cm, and AC = 5 cm. If triangle DEF is a scaled copy of triangle ABC with a scale factor of 2.5, what are the side lengths of triangle DEF?
2. A photograph measures 4 inches by 6 inches. If it is enlarged to a scaled copy that is 10 inches wide, what is the new length of the photograph?
3. Which of the following statements is true about scaled copies?
Angles change proportionally in a scaled copy.
Side lengths are always equal in a scaled copy.
Corresponding angles remain the same in a scaled copy.
Scaled copies always have a scale factor greater than 1.
4. Consider a rectangle with a length of 8 units and a width of 4 units. Draw a scaled copy of this rectangle with a scale factor of 0.5. Label the dimensions of the new rectangle.
5. A circle has a radius of 6 cm. If you create a scaled copy of this circle with a scale factor of 3, what will be the circumference of the new circle? (Use π ≈ 3.14)
6. If two figures are scaled copies of each other, their corresponding angles are congruent.
True
False
7. The area of a scaled copy is proportional to the square of the scale factor.
True
False
8. If a figure is dilated by a scale factor of k, then its perimeter is multiplied by a factor of .
9. A scaled copy preserves the of the original figure but changes its .
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