Grade 11 Math: Scale Factor Worksheet

Grade 11 Math: Scale Factor

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. A rectangle has dimensions of 5 cm by 8 cm. If it is dilated by a scale factor of 3, what are the new dimensions of the rectangle?

2. Consider a triangle with vertices at A(1,1), B(3,1), and C(2,4). If this triangle is dilated about the origin by a scale factor of 2, what are the new coordinates of its vertices?

3. If a square has an area of 16 cm² and is dilated by a scale factor of 2, what is the area of the new square?

4. A cube has a volume of 27 cm³. If it is dilated by a scale factor of 1/3, what is the volume of the new cube?

5. When a figure is dilated by a scale factor greater than 1, the image is an   of the original figure.

6. If the scale factor of a dilation is between 0 and 1, the image is a   of the original figure.

7. The ratio of the areas of two similar figures is equal to the   of their scale factor.

8. A negative scale factor indicates a reflection in addition to a dilation.

9. If a figure is dilated by a scale factor of 1, its size remains unchanged.

10. A photograph measures 4 inches by 6 inches. It is enlarged to become a poster with a scale factor of 5. What are the new dimensions of the poster, and what is its area?

11. A cylindrical can has a radius of 3 cm and a height of 10 cm. If a similar can is created with a scale factor of 2, what will be the volume of the new can? (Use π ≈ 3.14)

12. Plot the triangle with vertices D(2,2), E(6,2), F(4,6). Then, dilate the triangle using a scale factor of 0.5 centered at the origin and plot the image D'E'F'.