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8th grade Similar shapes: a dilation plus moves worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Similar shapes: a dilation plus moves

Grade 8 Math Worksheet - Building Confidence

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

  1. Ari dilates a kite sticker by 3 from the origin, then slides it 2 units right. Side DF is 5 units; the table row is 5 → 5 × 3. How long is D′F′?

  2. Bo dilates a boat sticker by 3/2 from the origin, then slides it 5 units down. Side DF is 6 units; the table row is 6 → 6 × 3/2. How long is D′F′?

  3. Esme dilates a rocket sticker by 1/2 from the origin, then slides it 3 units left. Side DF is 8 units; the table row is 8 → 8 × 1/2. How long is D′F′?

  4. Jun dilates a star sticker by 2 from the origin, then slides it 3 units up. Side DF is 7 units; the table row is 7 → 7 × 2. How long is D′F′?

  5. Kira dilates a butterfly sticker by 2 from the origin, then turns it 90° counterclockwise about the origin. ∠D is 50°; the row is ∠D | ∠D′ = 50° | ?. What is ∠D′?

  6. Luz dilates a leaf sticker by 3 from the origin, then turns it 180° about the origin. ∠F is 70°; the row is ∠F | ∠F′ = 70° | ?. What is ∠F′?

  7. Milo dilates a rain umbrella sticker by 1/2 from the origin, then turns it 90° clockwise about the origin. ∠G is 115°; the row is ∠G | ∠G′ = 115° | ?. What is ∠G′?

  8. Noah dilates a snowflake sticker by 3/2 from the origin, then flips it across the x-axis. ∠H is 40°; the row is ∠H | ∠H′ = 40° | ?. What is ∠H′?

  9. 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 window design and its copy are both drawn. Table side | length: DF | 5; D′F′ | 5.

  10. Tala turns a window design 180° about the origin, then slides it up 2. Side DF went from 5 units to 5 units. How is the copy related to the original?

    • Congruent: the same shape and the same size.
    • Similar but not congruent: the same shape, a new size.
    • Neither: the copy is a different shape.

  11. Zee flips a house design across the x-axis, then slides it 3 units left. Side DF went from 7 units to 7 units. How is the copy related to the original?

    • Neither: the copy is a different shape.
    • Congruent: the same shape and the same size.
    • Similar but not congruent: the same shape, a new size.
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8th grade Similar shapes: a dilation plus moves worksheet – printable
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About this worksheet

Similar shapes: a dilation plus moves. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say that a dilation plus slides, flips and turns makes a similar shape: lengths multiply by k, angles stay the same.
  • I can follow, undo and choose a sequence of moves that takes a shape onto a similar one.
  • I can tell similar from congruent, and check whether two shapes are similar by dividing matching sides.

Standard: 8.G.A.4

Words to know

similar: Same shape, maybe a different size: one is a dilation of the other, moved.

congruent: Same shape and same size.

sequence of moves: Moves done one after another, in a stated order.

matching sides: Sides in the same place on the two shapes.

scale factor from A to B: B's side ÷ A's matching side.

Common mistakes

Your child added the scale factor to a length instead of multiplying.

Your child added the size of the slide to a length, as if sliding stretched the shape. Slide a ruler across the table together: does it get longer?

Your child thought the angles grow with the shape.

What to say

Ask: if a picture is made 3 times as big, is each side 3 longer or 3 times as long?

Ask: when a photo is enlarged, do its corners get any wider?

Questions parents ask

What is the most common mistake with similar shapes: a dilation plus moves?

Your child added the scale factor to a length instead of multiplying.

How can I help my child with similar shapes: a dilation plus moves?

Ask: if a picture is made 3 times as big, is each side 3 longer or 3 times as long?

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

See all grade 8 math

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