Worksheet

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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Sequences of transformations, including glide reflections

Answer Key - Grade 10 Math Worksheet - Building Confidence

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?

    16

  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?

    44

  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?

    25

  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).

    (4, 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).

    (-4, -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).

    (2, 4)

  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).

    (-3, -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.

    x = 5

  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.

    x = -1

  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.

    y = -2