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8th grade Enlarge and shrink from the origin with any scale factor worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Enlarge and shrink from the origin with any scale factor

Grade 8 Math Worksheet - Building Confidence

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

  1. Read this first

    Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The boat sticker with corner D(3, 6) marked; the image is not drawn. Table old | new: the x row 3 | 3 × 4/3.

  2. Bo dilates a boat sticker from the origin with scale factor 4/3. Corner D is at (3, 6), and the x row is 3 → 3 × 4/3. What is the x-coordinate of D′?

  3. Esme dilates a rocket sticker from the origin with scale factor 2/3. Corner D is at (6, 3), and the x row is 6 → 6 × 2/3. What is the x-coordinate of D′?

  4. Jun dilates a star sticker from the origin with scale factor 3/4. Corner D is at (8, 4), and the y row is 4 → 4 × 3/4. What is the y-coordinate of D′?

  5. Use this

    The butterfly sticker with corner D(-4, 2) marked; the image is not drawn. Table old | new: the y row 2 | 2 × 3/2.

  6. Kira dilates a butterfly sticker from the origin with scale factor 3/2. Corner D is at (-4, 2), and the y row is 2 → 2 × 3/2. What is the y-coordinate of D′?

  7. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The robot picture is drawn; the image is not drawn. Table old (x, y) | new (x, y): C(2, 4) | C′(3, 6); F(4, 2) | F′(6, 3); G(6, 4) | ?

  8. Luz dilates a robot picture from the origin with scale factor 3/2. The table shows corners C and F done. Corner G is at (6, 4). Where is G′? Write it like (7, -3).

  9. Noah dilates a bus picture from the origin with scale factor 4/3. The table shows corners C and F done. Corner G is at (-3, 6). Where is G′? Write it like (7, -3).

  10. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. The tent picture is drawn; the image is not drawn.

  11. Pia dilates a tent picture from the origin with scale factor 3/4. The table shows corners C and F done. Corner G is at (-8, 4). Where is G′? Write it like (7, -3).

  12. Tala's leaf sticker is dilated from the origin: corner D(6, 3) went to D′(4, 2). In the x row, 6 → 4. What is the scale factor from old to new?

  13. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The sticker and its image are both drawn, with D and D′ labeled. Table old | new: the x row 8 | 10.

  14. Zee's snowflake sticker is dilated from the origin: corner D(8, 4) went to D′(10, 5). In the x row, 8 → 10. What is the scale factor from old to new?

  15. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The sticker and its image are both drawn, with D and D′ labeled. Table old | new: the x row 6 | 2.

  16. Ari's car sticker is dilated from the origin: corner D(6, -9) went to D′(2, -3). In the x row, 6 → 2. What is the scale factor from old to new?

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8th grade Enlarge and shrink from the origin with any scale factor worksheet – printable
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About this worksheet

Enlarge and shrink from the origin with any scale factor. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can dilate a point from the origin by any positive factor, such as 3/2 or 2/3, and write the rule (x, y) → (kx, ky).
  • I can find the scale factor from a corner and its image, new ÷ old, and use it on another corner.
  • I can say what a dilation keeps (angles, shape) and what it changes (side lengths), and tell whether a move is a dilation.

Standard: 8.G.A.3 (dilations)

Words to know

dilation: Enlarging or shrinking a shape from a fixed point, here the origin.

scale factor (k): The number every coordinate is multiplied by, from old to new.

enlarge / shrink: k above 1 makes the image bigger; k below 1 makes it smaller.

image: The shape after the dilation; D becomes D′.

rule: How every point changes: (x, y) → (kx, ky).

Common mistakes

Your child added the scale factor instead of multiplying by it.

Your child multiplied by the top of the fraction and forgot to divide by the bottom.

Your child multiplied only one of the two coordinates.

What to say

Ask: if a photo is made 3/2 times as big, do you add or multiply?

Ask: what does × 3/2 mean in two steps?

Ask: in a bigger copy, does the shape grow across and up?

Questions parents ask

What is the most common mistake with enlarge and shrink from the origin with any scale factor?

Your child added the scale factor instead of multiplying by it.

How can I help my child with enlarge and shrink from the origin with any scale factor?

Ask: if a photo is made 3/2 times as big, do you add or multiply?

Are these 8th 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 8 math

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