What a dilation does to length, perimeter and area

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  1. Ari's rug design has a perimeter of 12 units and is dilated from the origin by 3/2. The table rows are 1 | 3/2 and 12 | ?. What is the new perimeter?

  2. Esme's window design has a perimeter of 20 units and is dilated from the origin by 3/4. The table rows are 1 | 3/4 and 20 | ?. What is the new perimeter?

  3. Jun's table design has a perimeter of 16 units and is dilated from the origin by 5/4. The table rows are 1 | 5/4 and 16 | ?. What is the new perimeter?

  4. Kira's rug design covers 8 square units. It is dilated from the origin by 3/2, so the area row is 1 | 3/2 × 3/2. How many square units does the image cover?

  5. Luz's quilt design covers 18 square units. It is dilated from the origin by 2/3, so the area row is 1 | 2/3 × 2/3. How many square units does the image cover?

  6. Milo's book design covers 32 square units. It is dilated from the origin by 3/4, so the area row is 1 | 3/4 × 3/4. How many square units does the image cover?

  7. Noah's window design covers 9 square units. It is dilated from the origin by 4/3, so the area row is 1 | 4/3 × 4/3. How many square units does the image cover?

  8. 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 drawing with that side marked; the image is not drawn.

  9. One side of Pia's rug drawing runs from (-4, 2) to (2, 2). The drawing is dilated from the origin by 3/2. How long is that side on the image, in units?

  10. One side of Ren's door drawing runs from (3, 3) to (3, 9). The drawing is dilated from the origin by 2/3. How long is that side on the image, in units?

  11. One side of Tala's table drawing runs from (-8, -4) to (4, -4). The drawing is dilated from the origin by 3/4. How long is that side on the image, in units?

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What a dilation does to length, perimeter and area

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

  1. Ari's rug design has a perimeter of 12 units and is dilated from the origin by 3/2. The table rows are 1 | 3/2 and 12 | ?. What is the new perimeter?

    18
  2. Esme's window design has a perimeter of 20 units and is dilated from the origin by 3/4. The table rows are 1 | 3/4 and 20 | ?. What is the new perimeter?

    15
  3. Jun's table design has a perimeter of 16 units and is dilated from the origin by 5/4. The table rows are 1 | 5/4 and 16 | ?. What is the new perimeter?

    20
  4. Kira's rug design covers 8 square units. It is dilated from the origin by 3/2, so the area row is 1 | 3/2 × 3/2. How many square units does the image cover?

    18
  5. Luz's quilt design covers 18 square units. It is dilated from the origin by 2/3, so the area row is 1 | 2/3 × 2/3. How many square units does the image cover?

    8
  6. Milo's book design covers 32 square units. It is dilated from the origin by 3/4, so the area row is 1 | 3/4 × 3/4. How many square units does the image cover?

    18
  7. Noah's window design covers 9 square units. It is dilated from the origin by 4/3, so the area row is 1 | 4/3 × 4/3. How many square units does the image cover?

    16
  8. 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 drawing with that side marked; the image is not drawn.

  9. One side of Pia's rug drawing runs from (-4, 2) to (2, 2). The drawing is dilated from the origin by 3/2. How long is that side on the image, in units?

    9
  10. One side of Ren's door drawing runs from (3, 3) to (3, 9). The drawing is dilated from the origin by 2/3. How long is that side on the image, in units?

    4
  11. One side of Tala's table drawing runs from (-8, -4) to (4, -4). The drawing is dilated from the origin by 3/4. How long is that side on the image, in units?

    9