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. Ari enlarges a kite on a grid about the origin, scale factor 2. The tip is at (6, 1), and the arrow is × 2. What is the tip's new x-coordinate?

  2. 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?

  3. 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?

  4. The length row 7 | ?, with the arrow × 2 across the row. Sketch, not to scale. Noah's drawing of a boat is 7 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?

  5. 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?

  6. The length row 9 | ?, with the arrow × 2 across the row. Sketch, not to scale. Ren's castle wall is 9 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 wall?

  7. Read this first

    Ratio table (old | new)

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

  8. 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?

  9. Ratio table (old | new)

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

  10. 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?

  11. Ratio table (old | new)

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

  12. 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?

  13. Ratio table (old | new)

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

  14. 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. Ari enlarges a kite on a grid about the origin, scale factor 2. The tip is at (6, 1), and the arrow is × 2. What is the tip's new x-coordinate?

    12

  2. 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

  3. 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

  4. The length row 7 | ?, with the arrow × 2 across the row. Sketch, not to scale. Noah's drawing of a boat is 7 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?

    14

  5. 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

  6. The length row 9 | ?, with the arrow × 2 across the row. Sketch, not to scale. Ren's castle wall is 9 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 wall?

    18

  7. Read this first

    Ratio table (old | new)

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

  8. 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

  9. Ratio table (old | new)

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

  10. 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

  11. Ratio table (old | new)

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

  12. 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

  13. Ratio table (old | new)

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

  14. 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