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7th grade Enlarge and shrink a shape on a grid worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Enlarge and shrink a shape on a grid

Grade 7 Math Worksheet - Building Confidence

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    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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7th grade Enlarge and shrink a shape on a grid worksheet – printable
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About this worksheet

Enlarge and shrink a shape on a grid. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can enlarge or shrink a point or a side about the origin: every coordinate and every length is multiplied by the scale factor.
  • I can find the scale factor from a point and where it moved to (new ÷ old), and work back from the copy to the original.
  • I can do two dilations in a row (multiply the factors) and find the new perimeter of a rectangle.

Standard: state-only (CCSS 8.G.A.3)

Words to know

dilation: Making a shape bigger or smaller by the same number in every direction.

scale factor: How many new units for 1 old unit (new ÷ old). Above 1 is bigger, below 1 smaller.

origin: The point (0, 0), where the x-axis and y-axis cross. Here it is the center of every dilation.

coordinates: The two numbers (x, y) that tell where a point is.

image (the new copy): The point or shape you get after the dilation.

old-new table: A table with a row for the x-coordinate and a row for the y-coordinate.

Common mistakes

Your child added a number where the shape should have been multiplied bigger.

Your child used the scale factor upside down: divided when the shape was getting bigger, or multiplied when it was getting smaller.

Your child changed only one number of the point.

What to say

Ask: if a shape is 3 times as big, is each length 3 more or 3 times as much?

Ask: should the new shape be bigger or smaller than the old one?

Ask: when a shape is enlarged or shrunk, do both the across number and the up number change?

Questions parents ask

What is the most common mistake with enlarge and shrink a shape on a grid?

Your child added a number where the shape should have been multiplied bigger.

How can I help my child with enlarge and shrink a shape on a grid?

Ask: if a shape is 3 times as big, is each length 3 more or 3 times as much?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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