Worksheet

Enlarge and shrink a shape on a grid

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use this

    Coordinate grid, each square one unit, 20 squares across. The origin and the old point (4, 6) are marked; the new copy is not drawn. Ratio table (old | new): the y row 6 | ?, with the arrow × 3 across the row.

  2. Bo enlarges a rocket on a grid about the origin, scale factor 3. The rocket grins. The tip is at (4, 6), and the arrow is × 3. What is the tip's new y-coordinate?

  3. Jun enlarges a castle on a grid about the origin, scale factor 2. The tallest tower tip is at (5, 8), and the arrow is × 2. What is the tip's new y-coordinate?

  4. Kira enlarges a tent on a grid about the origin, scale factor 3. The tent's top is at (3, 5), and the arrow is × 3. What is the top's new x-coordinate?

  5. Luz enlarges a boat on a grid about the origin, scale factor 2. The mast tip is at (5, 6), and the arrow is × 2. What is the tip's new x-coordinate?

  6. The length row 13 | ?, with the arrow × 2 across the row. Sketch, not to scale. Milo's drawing of a kite is 13 units long on a grid. A poster printer enlarges it with scale factor 2, and the arrow is × 2. How many units long is the new drawing?

  7. The length row 8 | ?, with the arrow × 4 across the row. Sketch, not to scale. Pia's drawing of a tent is 8 units wide on a grid. A poster printer enlarges it with scale factor 4, and the arrow is × 4. How many units wide is the new drawing?

  8. Ratio table (old | new)

    The row 7 | 28, with the arrow ÷ 7 down to the 1 row 1 | ?. Sketch, not to scale.

  9. Tala's robot drawing is 7 units tall on the grid. The dilated copy is 28 units tall. What is the scale factor from old to new, that is, new units for 1 old unit?

  10. Ratio table (old | new)

    The row 4 | 12, with the arrow ÷ 4 down to the 1 row 1 | ?. Sketch, not to scale.

  11. Zee's house drawing is 4 units tall on the grid. The dilated copy is 12 units tall. What is the scale factor from old to new, that is, new units for 1 old unit?

  12. Ratio table (old | new)

    The row 7 | 21, with the arrow ÷ 7 down to the 1 row 1 | ?. Sketch, not to scale.

  13. Ari's star drawing is 7 units wide on the grid. The dilated copy is 21 units wide. What is the scale factor from old to new, that is, new units for 1 old unit?

  14. Ratio table (old | new)

    The row 6 | 24, with the arrow ÷ 6 down to the 1 row 1 | ?. Sketch, not to scale.

  15. Bo's window drawing is 6 units tall on the grid. The dilated copy is 24 units tall. What is the scale factor from old to new, that is, new units for 1 old unit?

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Enlarge and shrink a shape on a grid

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

  1. Read this first

    Use this

    Coordinate grid, each square one unit, 20 squares across. The origin and the old point (4, 6) are marked; the new copy is not drawn. Ratio table (old | new): the y row 6 | ?, with the arrow × 3 across the row.

  2. Bo enlarges a rocket on a grid about the origin, scale factor 3. The rocket grins. The tip is at (4, 6), and the arrow is × 3. What is the tip's new y-coordinate?

    18

  3. Jun enlarges a castle on a grid about the origin, scale factor 2. The tallest tower tip is at (5, 8), and the arrow is × 2. What is the tip's new y-coordinate?

    16

  4. Kira enlarges a tent on a grid about the origin, scale factor 3. The tent's top is at (3, 5), and the arrow is × 3. What is the top's new x-coordinate?

    9

  5. Luz enlarges a boat on a grid about the origin, scale factor 2. The mast tip is at (5, 6), and the arrow is × 2. What is the tip's new x-coordinate?

    10

  6. The length row 13 | ?, with the arrow × 2 across the row. Sketch, not to scale. Milo's drawing of a kite is 13 units long on a grid. A poster printer enlarges it with scale factor 2, and the arrow is × 2. How many units long is the new drawing?

    26

  7. The length row 8 | ?, with the arrow × 4 across the row. Sketch, not to scale. Pia's drawing of a tent is 8 units wide on a grid. A poster printer enlarges it with scale factor 4, and the arrow is × 4. How many units wide is the new drawing?

    32

  8. Ratio table (old | new)

    The row 7 | 28, with the arrow ÷ 7 down to the 1 row 1 | ?. Sketch, not to scale.

  9. Tala's robot drawing is 7 units tall on the grid. The dilated copy is 28 units tall. What is the scale factor from old to new, that is, new units for 1 old unit?

    4

  10. Ratio table (old | new)

    The row 4 | 12, with the arrow ÷ 4 down to the 1 row 1 | ?. Sketch, not to scale.

  11. Zee's house drawing is 4 units tall on the grid. The dilated copy is 12 units tall. What is the scale factor from old to new, that is, new units for 1 old unit?

    3

  12. Ratio table (old | new)

    The row 7 | 21, with the arrow ÷ 7 down to the 1 row 1 | ?. Sketch, not to scale.

  13. Ari's star drawing is 7 units wide on the grid. The dilated copy is 21 units wide. What is the scale factor from old to new, that is, new units for 1 old unit?

    3

  14. Ratio table (old | new)

    The row 6 | 24, with the arrow ÷ 6 down to the 1 row 1 | ?. Sketch, not to scale.

  15. Bo's window drawing is 6 units tall on the grid. The dilated copy is 24 units tall. What is the scale factor from old to new, that is, new units for 1 old unit?

    4