Grade 8 Math: Scaling Worksheets
This worksheet helps 8th-grade students practice scaling figures, understanding scale factors, and applying transformations to create similar figures.
Includes
Standards
Topics
Grade 8 Math: Scaling Figures
Name:
Date:
Score:
Read each question carefully and follow the instructions to answer. Show all your work where applicable.
1. 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 area of the scaled rectangle?
50 cm²
100 cm²
200 cm²
400 cm²
2. Which of the following transformations results in a similar figure that is larger than the original?
Dilation with a scale factor of 0.5
Dilation with a scale factor of 1
Dilation with a scale factor of 1.5
Reflection across the x-axis
3. When a figure is scaled by a factor greater than 1, the new figure is an of the original.
4. If two figures are similar, their corresponding angles are and their corresponding sides are .
5. Triangle ABC has vertices A(1,1), B(3,1), and C(1,4). Draw the triangle on the coordinate plane below. Then, dilate Triangle ABC by a scale factor of 2 with the origin as the center of dilation. Label the new vertices A', B', and C'.
6. A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between the cities?
7. A dilation always changes the shape of a figure.
True
False
8. If a figure is dilated by a scale factor of 1, the image is congruent to the original figure.
True
False
Match the term on the left with its definition on the right.
9. Dilation
a. The ratio of corresponding side lengths in similar figures
10. Scale Factor
b. A transformation that changes the size of a figure but not its shape
11. Similar Figures
c. Figures that have the same shape but different sizes
12. Consider the square with side length 4 units shown below. Draw a new square that is scaled by a factor of 0.5. What is the perimeter and area of the new scaled square?
Perimeter of new square:
Area of new square: