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Second Year maths · K.3 · Transformations

Reflect a point in an axis or the line y = x

Reflecting in the x-axis changes the sign of y. In the y-axis it changes the sign of x. In the line y = x it swaps x and y.

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  1. Apply a reflection in the line y = x to the point (−6, −1). What are the coordinates of the image?

    Answer: (-1, -6)

  2. Apply a reflection in the line y = x to the point (−4, 5). What are the coordinates of the image?

    Answer: (5, -4)

  3. Apply a reflection in the x-axis to the point (−8, −7). What are the coordinates of the image?

    Answer: (-8, 7)

Tip: Reflecting in the x-axis changes the sign of y. In the y-axis it changes the sign of x. In the line y = x it swaps x and y.

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