What a dilation does to length, perimeter and area

Grade 8 Math Worksheet

NameDate

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

  1. 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 rug rectangle with corners (2, 2) and (6, 4) marked; the image is not drawn.

  2. Ari's rug is a rectangle with opposite corners (2, 2) and (6, 4). It is dilated from the origin by 3/2. What is the perimeter of the image?

  3. Bo's quilt is a rectangle with opposite corners (-6, -3) and (6, 3). It is dilated from the origin by 2/3. What is the perimeter of the image?

  4. 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?

  5. 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?

  6. 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?

  7. 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?

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

  9. A right triangle on Ari's tent drawing has corners C(-4, 2), D(2, 2) and F(-4, 6). It is dilated from the origin by 3/2. How many square units does the image cover?

  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?

  11. A right triangle on Esme's sled drawing has corners C(-8, -4), D(4, -4) and F(-8, 4). It is dilated from the origin by 3/4. How many square units does the image cover?

PencilGopencilgo.com

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. 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 rug rectangle with corners (2, 2) and (6, 4) marked; the image is not drawn.

  2. Ari's rug is a rectangle with opposite corners (2, 2) and (6, 4). It is dilated from the origin by 3/2. What is the perimeter of the image?

    18
  3. Bo's quilt is a rectangle with opposite corners (-6, -3) and (6, 3). It is dilated from the origin by 2/3. What is the perimeter of the image?

    24
  4. 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
  5. 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
  6. 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
  7. 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
  8. Ren dilates a window design from the origin by 3/4. How many times as much area does the image cover as the original?

    9/16
  9. A right triangle on Ari's tent drawing has corners C(-4, 2), D(2, 2) and F(-4, 6). It is dilated from the origin by 3/2. How many square units does the image cover?

    27
  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
  11. A right triangle on Esme's sled drawing has corners C(-8, -4), D(4, -4) and F(-8, 4). It is dilated from the origin by 3/4. How many square units does the image cover?

    27