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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Enlarge and shrink from the origin with any scale factor

Grade 8 Math Worksheet - Challenge Me

NameDate

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

  1. Noah dilated a tent sticker from the origin with scale factor 4/3. Now corner D′ is at (-8, 4). Where was D before? Write it like (7, -3).

  2. 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 design is drawn with C, C′ and D labeled; D′ is not drawn.

  3. Pia dilates a star design from the origin. Corner C(4, -2) lands at (6, -3). Where does corner D(-6, 6) land? Write it like (7, -3).

  4. Ren dilates a butterfly design from the origin. Corner C(9, 3) lands at (6, 2). Where does corner D(-3, 6) land? Write it like (7, -3).

  5. Tala dilates a snowman design from the origin. Corner C(2, -2) lands at (5, -5). Where does corner D(-4, 2) land? Write it like (7, -3).

  6. 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 C, C′, D and D′ labeled.

  7. Ari's quilt design moved. Corner C went from (2, 4) to (3, 6), and D went from (-4, 2) to (-6, 3). Is it a dilation from the origin?

    • Yes: a dilation with scale factor 2/3.
    • Yes: a dilation with scale factor 3/2.
    • No: the corners do not all multiply by the same number.
    • No: a dilation must make a shape bigger.

  8. Bo's leaf design moved. Corner C went from (6, 3) to (4, 2), and D went from (-3, 9) to (-2, 6). Is it a dilation from the origin?

    • No: the corners do not all multiply by the same number.
    • No: a dilation must make a shape bigger.
    • Yes: a dilation with scale factor 2/3.
    • Yes: a dilation with scale factor 3/2.

  9. Esme's crown design moved. Corner C went from (4, 2) to (6, 3), and D went from (2, 6) to (4, 8). Is it a dilation from the origin?

    • Yes: a dilation with scale factor 2/3.
    • No: the corners do not all multiply by the same number.
    • Yes: a dilation with scale factor 3/2.
    • No: a dilation must make a shape bigger than the original.

  10. Jun's car design moved. Corner C went from (6, 9) to (4, 6), and D went from (3, -6) to (1, -8). Is it a dilation from the origin?

    • No: a dilation must make a shape bigger.
    • Yes: a dilation with scale factor 2/3.
    • Yes: a dilation with scale factor 3/2.
    • No: the corners do not all multiply by the same number.

  11. Use this

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

  12. Side CD of Kira's rocket runs from (-2, 4) to (4, 4). After a dilation from the origin, C′D′ runs from (-3, 6) to (6, 6). What is the scale factor from old to new?

  13. Side CD of Luz's house runs from (-6, 3) to (3, 3). After a dilation from the origin, C′D′ runs from (-4, 2) to (2, 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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