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Maths · Years 5-6

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Translations & reflections

Translate (slide) and reflect (flip) shapes on a coordinate grid

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Try each question. If you're stuck, leave it and come back. The answer key is on the last page.
  1. 1

    What does it mean to translate a shape? A) Flip it B) Slide it without rotating C) Spin it around D) Change its size

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  2. 2

    When a shape is reflected, the original and its image are ___ images of each other. Reflection produces ___ images

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  3. 3

    Is this statement true or false? When a shape is translated, its size and shape stay the same. A) True B) False

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  4. 4

    If a point at (2, 3) is translated 4 right, where does it end up? A) (2, 7) B) (6, 3) C) (2, -1) D) (-2, 3)

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  5. 5

    A point at (5, 2) is translated 3 down. What is the new point? New point: (5, ___)

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  6. 6

    A point at (3, 4) is reflected in the x-axis. What is the new point? A) (-3, 4) B) (3, -4) C) (-3, -4) D) (4, 3)

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  7. 7

    Is this statement true or false? Reflecting a point in the y-axis changes the sign of the x-coordinate. A) True B) False

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  8. 8

    Point (-2, 5) is translated 4 right and 2 down. What is the new point? New point: (___, 3)

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  9. 9

    A shape is reflected in the y-axis. The point (4, -3) becomes ___ A) (4, 3) B) (-4, -3) C) (-4, 3) D) (3, -4)

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  10. 10

    Is this statement true or false? A translation changes the size of the shape. A) True B) False

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Answer key

Translations & reflections · for parents and teachers

  1. 1

    Slide it without rotating

    Translation slides a shape in any direction without rotating or flipping it.

  2. 2

    mirror

    Reflection produces mirror images. The image and original are the same size but flipped.

  3. 3

    True

    Translation only changes the position. Size, shape and orientation stay the same.

  4. 4

    (6, 3)

    Starting x = 2, plus 4 right = 6. y stays the same at 3. New point: (6, 3).

  5. 5

    -1

    y was 2, minus 3 = -1. New point: (5, -1).

  6. 6

    (3, -4)

    Reflecting in the x-axis keeps x the same and negates y. (3, 4) becomes (3, -4).

  7. 7

    True

    Reflecting in the y-axis keeps y the same and negates x. So (2, 3) becomes (-2, 3).

  8. 8

    2

    x: -2 + 4 = 2. y: 5 - 2 = 3. New point: (2, 3).

  9. 9

    (-4, -3)

    Reflection in the y-axis changes (4, -3) to (-4, -3).

  10. 10

    False

    A translation only changes position. Size and shape stay exactly the same.