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

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Enlarge and shrink from the origin with any scale factor

Grade 8 Math Worksheet

NameDate

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

  1. Bo dilates a sled sticker from the origin with scale factor 3/2. Corner D starts at (-4, 6). Where is D′? Write it like (7, -3).

  2. Esme dilates a plane sticker from the origin with scale factor 5/2. Corner D starts at (2, -4). Where is D′? Write it like (7, -3).

  3. 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 sticker with corner D(6, -2) marked; the image is not drawn.

  4. Jun dilates a bike sticker from the origin with scale factor 1.5. Corner D starts at (6, -2). Where is D′? Write it like (7, -3).

  5. the image is not drawn. Kira dilates a turtle sticker from the origin with scale factor 0.75. Corner D starts at (-8, 4). Where is D′? Write it like (7, -3).

  6. Luz dilates a boat sticker from the origin with scale factor 2/3. Corner D starts at (9, -6). Where is D′? Write it like (7, -3).

  7. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with the corner and its image labeled.

  8. A corner of Noah's window design is at (10, -5). After a dilation from the origin, it is at (4, -2). What is the scale factor from old to new?

  9. A corner of Pia's house design is at (-4, -8). After a dilation from the origin, it is at (-5, -10). What is the scale factor from old to new?

  10. Tala's kite drawing is dilated from the origin. Corner D moves from (4, -2) to (6, -3). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

  11. Bo dilates a house drawing from the origin with scale factor 3/2. How does the image compare with the original drawing?

    • Each side is 3/2 times as long, and each angle is 3/2 times as big.
    • Each side is 3/2 times as long, and each angle stays the same.
    • Each side gets 3/2 units added, and each angle stays the same.
    • Each side and each angle stays the same; the drawing only moves.

  12. Use this

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

  13. Esme dilates a car drawing from the origin with scale factor 2/3. How does the image compare with the original drawing?

    • Each side and each angle stays the same; the drawing only moves.
    • Each side is 2/3 times as long, and each angle is 2/3 times as big.
    • Each side is 2/3 times as long, and each angle stays the same.
    • Each side gets 2/3 units added, and each angle stays the same.
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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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