Enlarge and shrink a shape on a grid

Grade 7 Math Worksheet

NameDate

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

  1. Esme enlarges a house about the origin with scale factor 2. The roof peak is at (4, 6) on the grid. Where is the roof peak on the new copy? Write it like (6, 4).

  2. Kira enlarges a tent about the origin with scale factor 4. The top is at (4, 4) on the grid. Where is the top on the new copy? Write it like (6, 4).

  3. Luz enlarges a robot about the origin with scale factor 2. The antenna tip is at (6, 2) on the grid. Where is the antenna tip on the new copy? Write it like (6, 4).

  4. Milo shrinks a kite about the origin with scale factor 1/2. The tip is at (8, 6) on the grid. Where is the tip on the smaller copy? Write it like (7, 5).

  5. Noah shrinks a boat about the origin with scale factor 1/4. The mast tip is at (8, 12) on the grid. Where is the mast tip on the smaller copy? Write it like (6, 4).

  6. The x row 12 | 3 and the y row 8 | 2. The picture is not drawn. A corner of Bo's tent is at (12, 8). After a dilation about the origin that makes the copy smaller, that corner is at (3, 2). What is the scale factor from old to new?

  7. The side row 16 | ?. Sketch, not to scale. A side of Jun's tent drawing is 16 units long. The drawing is enlarged with scale factor 2. How long is the matching side of the new drawing, in units?

  8. The side row 11 | ?. Sketch, not to scale. A side of Kira's castle drawing is 11 units long. The drawing is enlarged with scale factor 4. How long is the matching side of the new drawing, in units?

  9. The side row 14 | ?. Sketch, not to scale. A side of Noah's rocket drawing is 14 units long. The drawing is shrunk with scale factor 1/2. How long is the matching side of the new drawing, in units?

  10. The x row 3 | 12 and the y row 6 | ?. Tala's window is enlarged about the origin. The table shows one point: its x row is 3 | 12, and its y row starts at 6. What is the new y-coordinate?

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Enlarge and shrink a shape on a grid

Answer Key - Grade 7 Math Worksheet

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

  1. Esme enlarges a house about the origin with scale factor 2. The roof peak is at (4, 6) on the grid. Where is the roof peak on the new copy? Write it like (6, 4).

    (8, 12)
  2. Kira enlarges a tent about the origin with scale factor 4. The top is at (4, 4) on the grid. Where is the top on the new copy? Write it like (6, 4).

    (16, 16)
  3. Luz enlarges a robot about the origin with scale factor 2. The antenna tip is at (6, 2) on the grid. Where is the antenna tip on the new copy? Write it like (6, 4).

    (12, 4)
  4. Milo shrinks a kite about the origin with scale factor 1/2. The tip is at (8, 6) on the grid. Where is the tip on the smaller copy? Write it like (7, 5).

    (4, 3)
  5. Noah shrinks a boat about the origin with scale factor 1/4. The mast tip is at (8, 12) on the grid. Where is the mast tip on the smaller copy? Write it like (6, 4).

    (2, 3)
  6. The x row 12 | 3 and the y row 8 | 2. The picture is not drawn. A corner of Bo's tent is at (12, 8). After a dilation about the origin that makes the copy smaller, that corner is at (3, 2). What is the scale factor from old to new?

    1/4
  7. The side row 16 | ?. Sketch, not to scale. A side of Jun's tent drawing is 16 units long. The drawing is enlarged with scale factor 2. How long is the matching side of the new drawing, in units?

    32
  8. The side row 11 | ?. Sketch, not to scale. A side of Kira's castle drawing is 11 units long. The drawing is enlarged with scale factor 4. How long is the matching side of the new drawing, in units?

    44
  9. The side row 14 | ?. Sketch, not to scale. A side of Noah's rocket drawing is 14 units long. The drawing is shrunk with scale factor 1/2. How long is the matching side of the new drawing, in units?

    7
  10. The x row 3 | 12 and the y row 6 | ?. Tala's window is enlarged about the origin. The table shows one point: its x row is 3 | 12, and its y row starts at 6. What is the new y-coordinate?

    24