Enlarge and shrink from the origin with any scale factor

Grade 8 Math Worksheet

NameDate

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

  1. Bo dilates a sled sticker from the origin with scale factor 3/2. Corner D starts at (-4, 6). Where is D′? Write it like (7, -3).

  2. Esme dilates a plane sticker from the origin with scale factor 5/2. Corner D starts at (2, -4). Where is D′? Write it like (7, -3).

  3. 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 sticker with corner D(6, -2) marked; the image is not drawn.

  4. Jun dilates a bike sticker from the origin with scale factor 1.5. Corner D starts at (6, -2). Where is D′? Write it like (7, -3).

  5. the image is not drawn. Kira dilates a turtle sticker from the origin with scale factor 0.75. Corner D starts at (-8, 4). Where is D′? Write it like (7, -3).

  6. Luz dilates a boat sticker from the origin with scale factor 2/3. Corner D starts at (9, -6). Where is D′? Write it like (7, -3).

  7. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with the corner and its image labeled.

  8. A corner of Milo's crown design is at (-6, 4). After a dilation from the origin, it is at (-9, 6). What is the scale factor from old to new?

  9. A corner of Noah's window design is at (10, -5). After a dilation from the origin, it is at (4, -2). What is the scale factor from old to new?

  10. A corner of Pia's house design is at (-4, -8). After a dilation from the origin, it is at (-5, -10). What is the scale factor from old to new?

  11. Tala's kite drawing is dilated from the origin. Corner D moves from (4, -2) to (6, -3). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

  12. Ari's leaf drawing is dilated from the origin. Corner D moves from (9, 6) to (3, 2). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

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Enlarge and shrink from the origin with any scale factor

Answer Key - Grade 8 Math Worksheet

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

  1. Bo dilates a sled sticker from the origin with scale factor 3/2. Corner D starts at (-4, 6). Where is D′? Write it like (7, -3).

    (-6, 9)
  2. Esme dilates a plane sticker from the origin with scale factor 5/2. Corner D starts at (2, -4). Where is D′? Write it like (7, -3).

    (5, -10)
  3. 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 sticker with corner D(6, -2) marked; the image is not drawn.

  4. Jun dilates a bike sticker from the origin with scale factor 1.5. Corner D starts at (6, -2). Where is D′? Write it like (7, -3).

    (9, -3)
  5. the image is not drawn. Kira dilates a turtle sticker from the origin with scale factor 0.75. Corner D starts at (-8, 4). Where is D′? Write it like (7, -3).

    (-6, 3)
  6. Luz dilates a boat sticker from the origin with scale factor 2/3. Corner D starts at (9, -6). Where is D′? Write it like (7, -3).

    (6, -4)
  7. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with the corner and its image labeled.

  8. A corner of Milo's crown design is at (-6, 4). After a dilation from the origin, it is at (-9, 6). What is the scale factor from old to new?

    3/2
  9. A corner of Noah's window design is at (10, -5). After a dilation from the origin, it is at (4, -2). What is the scale factor from old to new?

    2/5
  10. A corner of Pia's house design is at (-4, -8). After a dilation from the origin, it is at (-5, -10). What is the scale factor from old to new?

    5/4
  11. Tala's kite drawing is dilated from the origin. Corner D moves from (4, -2) to (6, -3). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

    (3/2)x, (3/2)y
  12. Ari's leaf drawing is dilated from the origin. Corner D moves from (9, 6) to (3, 2). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

    (1/3)x, (1/3)y