Exploring Scaled Copies
A Grade 12 math worksheet on understanding and creating scaled copies, focusing on properties, scale factors, and coordinate transformations.
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Exploring Scaled Copies
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Read each question carefully and provide thoughtful answers. Show all your work where applicable.
1. Define a 'scaled copy' in your own words. What properties remain the same and what properties change when an object is scaled?
2. A rectangle has dimensions 4 cm by 6 cm. If it is scaled by a factor of 2.5, what are the new dimensions?
6.5 cm by 8.5 cm
8 cm by 12 cm
10 cm by 15 cm
16 cm by 24 cm
3. If a shape is scaled by a factor greater than 1, the new shape will be than the original. If scaled by a factor between 0 and 1, the new shape will be .
4. A triangle has vertices at A(1, 2), B(3, 2), and C(2, 4). If it is scaled by a factor of 3 centered at the origin, what are the new coordinates of the vertices?
5. Consider the rectangle below. Draw a scaled copy of this rectangle with a scale factor of 0.5.
6. All corresponding angles in a scaled copy are congruent to the angles in the original figure.
True
False
Match each term with its definition.
7. Scale Factor
a. A figure that has the same shape but a different size than the original.
8. Dilation
b. The ratio of corresponding side lengths between a scaled copy and the original.
9. Scaled Copy
c. A transformation that changes the size of a figure.