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

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Enlarge and shrink a shape on a grid

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. Jun's game map is enlarged about the origin with scale factor 3. A star corner starts at (-6, 3). Where is that corner now? Write it like (7, -3).

  2. Kira's game map is shrunk about the origin with scale factor 1/4. A castle corner starts at (4, -8). Where is that corner now? Write it like (7, -3).

  3. Luz's game map is shrunk about the origin with scale factor 1/2. A house corner starts at (-10, -4). Where is that corner now? Write it like (7, -3).

  4. The x row ? | 9 and the y row ? | 12. The picture is not drawn. Pia's boat was enlarged about the origin with scale factor 3. One corner of the copy is at (9, 12). Where was that corner on the original? Write it like (6, 4).

  5. The x row ? | 10 and the y row ? | 14. The picture is not drawn. Tala's robot was enlarged about the origin with scale factor 2. One corner of the copy is at (10, 14). Where was that corner on the original? Write it like (6, 4).

  6. Read this first

    Ratio table (old | new)

    The x row 2 | ? and the y row 6 | ?, after the scale factors 4 and 1/2 one after the other.

  7. Bo's castle gets one dilation about the origin with scale factor 4, then a second with scale factor 1/2. A corner starts at (2, 6). Where does it end? Write it like (6, 4).

  8. Ratio table (old | new)

    The first corner's x row 12 | 6 and y row 10 | 5; the second corner's x row 8 | ?. The picture is not drawn.

  9. A corner of Jun's kite moves from (12, 10) to (6, 5) in a dilation about the origin. Another corner starts at (8, 14). What is the x-coordinate of that corner's new position?

  10. Ratio table (old | new)

    The first corner's x row 2 | 8 and y row 3 | 12; the second corner's x row 5 | ?. The picture is not drawn.

  11. A corner of Kira's robot moves from (2, 3) to (8, 12) in a dilation about the origin. Another corner starts at (5, 6). What is the x-coordinate of that corner's new position?

  13. Milo's door drawing is a rectangle with corners at (0, 0), (4, 0), (4, 2) and (0, 2). It is dilated about the origin with scale factor 4. What is the new perimeter, in units?

  14. Noah's map drawing is a rectangle with corners at (0, 0), (6, 0), (6, 2) and (0, 2). It is dilated about the origin with scale factor 1/2. What is the new perimeter, in units?

    Use the picture in question 9.

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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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