What a dilation does to length, perimeter and area

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Esme's window is a rectangle with opposite corners (-8, 4) and (4, 8). It is dilated from the origin by 3/4. What is the perimeter of the image?

   24
2. 2.

   Jun's door is a rectangle with opposite corners (4, -4) and (8, 4). It is dilated from the origin by 5/4. What is the perimeter of the image?

   30
3. 3.

   the image is not drawn. Kira's rug is a rectangle with opposite corners (-4, 2) and (2, 6). It is dilated from the origin by 3/2. How many square units does the image cover?

   54
4. 4.

   Luz's table top is a rectangle with opposite corners (-9, -6) and (3, 3). It is dilated from the origin by 2/3. How many square units does the image cover?

   48
5. 5.

   the image is not drawn. Milo's quilt is a rectangle with opposite corners (-8, -4) and (4, 4). It is dilated from the origin by 1/4. How many square units does the image cover?

   6
6. 6.

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. Noah's book cover is a rectangle with opposite corners (3, -6) and (6, 3). It is dilated from the origin by 4/3. How many square units does the image cover?

   48
7. 7.

   Pia dilates a rug design from the origin by 2/3. How many times as much area does the image cover as the original?

   4/9
8. 8.

   Tala dilates a quilt design from the origin by 4/3. How many times as much area does the image cover as the original?

   16/9
9. 9.

   Zee dilates a table design from the origin by 1/3. How many times as much area does the image cover as the original?

   1/9
10. 10.

    A right triangle on Bo's kite drawing has corners C(-6, -3), D(3, -3) and F(-6, 3). It is dilated from the origin by 2/3. How many square units does the image cover?

    12