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Grade 10 · Math · Geometry

10th grade Sequences of transformations, including glide reflections worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Sequences of transformations, including glide reflections

Grade 10 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Use this

    △ABC and its image △A′B′C′ on a grid. AB is marked (3x + 1) cm; A′B′ is marked (2x + 6) cm.

  2. Jun reflects △ABC across the y-axis, then slides it to make △A′B′C′. AB = (3x + 1) cm and A′B′ = (2x + 6) cm. How long is AB, in cm?

  3. Kira flips △ABC across the x-axis, then slides it to make △A′B′C′. ∠B = (6x − 4)° and ∠B′ = (4x + 12)°. How many degrees is ∠B?

  4. Use this

    △ABC and its image △A′B′C′ on a grid. AB is marked (4x − 3) cm; A′B′ is marked (2x + 11) cm.

  5. Luz turns △ABC 90° about the origin, then slides it to make △A′B′C′. AB = (4x − 3) cm and A′B′ = (2x + 11) cm. How long is AB, in cm?

  6. The slide is not drawn. Zee flips △ABC across the x-axis, then slides it. A is (3, 4) and its image A′ is (7, -1). What slide was used? Write it as (right, up), like (7, -3).

  7. Coordinate grid, all four quadrants. The slide is not drawn. Ari flips △ABC across the y-axis, then slides it. A is (2, 5) and its image A′ is (-6, 2). What slide was used? Write it as (right, up), like (7, -3).

  8. Use this

    Coordinate grid, all four quadrants, 20 squares across. The slide is not drawn.

  9. Bo turns △ABC 90° counterclockwise about the origin, then slides it. A is (4, 1) and its image A′ is (1, 8). What slide was used? Write it as (right, up), like (7, -3).

  10. Esme flips △ABC across the line y = x, then slides it. A is (1, 6) and its image A′ is (3, -2). What slide was used? Write it as (right, up), like (7, -3).

  11. Use this

    Coordinate grid, all four quadrants, 20 squares across. The sticker's corner A(1, 3) and its image A′(9, 3) are marked. The mirror line is not drawn.

  12. Noah flips a sticker across a vertical mirror line. Corner A(1, 3) lands on A′(9, 3). What is the mirror line? Write it like x = 2.

  13. Coordinate grid, all four quadrants, 20 squares across. The mirror line is not drawn. Pia flips a sticker across a vertical mirror line. Corner A(-5, 2) lands on A′(3, 2). What is the mirror line? Write it like x = 2.

  14. Coordinate grid, all four quadrants, 20 squares across. Tala flips a sticker across a horizontal mirror line. Corner A(-2, -7) lands on A′(-2, 3). What is the mirror line? Write it like y = 2.

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10th grade Sequences of transformations, including glide reflections worksheet – printable
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About this worksheet

Sequences of transformations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say what two moves in a row do, and find a missing slide or mirror line from a corner and its image.
  • I can say that two flips make a slide (parallel lines) or a turn (crossing lines), and how big.
  • I can test one point to tell whether the order of two moves matters, and undo a sequence in reverse order.

Standard: G-CO.A.5, G-CO.A.2

Words to know

sequence of moves: Moves done one after another, each starting where the last one ended.

composition: The math word for one move followed by another.

glide reflection: A slide along a mirror line, then a flip across that line.

undo a move: The move back: slide back, flip again, or turn the other way.

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

rigid motion: A slide, flip or turn: lengths and angles stay the same.

mirror line: The line a flip is across; it sits halfway between a point and its image.

orientation: The order the corners run round, clockwise or counterclockwise; a flip reverses it.

Common mistakes

Your child solved for x and stopped.

Your child set the two expressions equal but moved a number across with the wrong sign. Check each step by putting x back in.

Your child found how far the image is from the start and forgot that a flip or turn came first.

What to say

Ask: what does the question want to know, x or the length or angle?

Ask: where is the shape after move 1?

Questions parents ask

What is the most common mistake with sequences of transformations, including glide reflections?

Your child solved for x and stopped.

How can I help my child with sequences of transformations, including glide reflections?

Ask: what does the question want to know, x or the length or angle?

Are these 10th 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.

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