8th grade What a dilation does to length, perimeter and area worksheet

What a dilation does to length, perimeter and area

Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Jun's rug design covers 18 square units. After a dilation from the origin, the image covers 8 square units. What is the scale factor from old to new?
2. 2.

   Luz's window design covers 32 square units. After a dilation from the origin, the image covers 2 square units. What is the scale factor from old to new?
3. 3.

   Milo's table design covers 25 square units. After a dilation from the origin, the image covers 4 square units. What is the scale factor from old to new?
4. 4.

   Noah dilates a rug design from the origin by 3/2. How do the perimeter and the area of the image compare with the original?

   • The perimeter and the area are both 9/4 times as much.
   • The perimeter and the area are both 3/2 times as much, since both grow alike.
   • The perimeter is 3/2 times as long, and the area is 9/4 times as much.
   • The perimeter is 3/2 times as long, and the area is 3 times as much.
5. 5.

   Tala dilates a window design from the origin by 1/4. How do the perimeter and the area of the image compare with the original?

   • The perimeter and the area are both 1/16 times as much.
   • The perimeter is 1/4 times as long, and the area is 1/2 times as much.
   • The perimeter is 1/4 times as long, and the area is 1/16 times as much.
   • The perimeter and the area are both 1/4 times as much.
6. 6.

   After a dilation from the origin by 3/2, the image of Zee's rug design covers 45 square units. How many square units did the original cover?
7. 7.

   After a dilation from the origin by 2/3, the image of Ari's quilt design covers 12 square units. How many square units did the original cover?
8. 8.

   Esme's door is a rectangle with opposite corners (-4, 2) and (4, 6), dilated from the origin by 3/2. What are the image's perimeter and area? Type: perimeter, area.

9. Read this first

   Use this

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The window rectangle with corners (-6, -6) and (6, 3) marked; the image is not drawn.

10. 9.

    Jun's window is a rectangle with opposite corners (-6, -6) and (6, 3), dilated from the origin by 2/3. What are the image's perimeter and area? Type: perimeter, area.

11. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. The rug rectangle with corners (-3, 3) and (6, 6) marked; the image is not drawn.

12. 10.

    Kira's rug is a rectangle with opposite corners (-3, 3) and (6, 6), dilated from the origin by 4/3. What are the image's perimeter and area? Type: perimeter, area.