Question

A point P is reflected in the x-axis, co-ordinates of its image are (-4, 5).

(i) Find the co-ordinates of P.

(ii) Find the co-ordinates of the image of P under reflection in the y-axis
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Answer 1

(i)
We know that a point (x, y) changes to (x, -y) when reflected in the x- axis.
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Given: coordinates of the image of point P are (-4, 5).

Since, this image is obtained after reflection of point P in the x-axis, thus the coordinates of P are (-4, -5).
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(ii)
Also, we know that a point (x, y) changes to (-x, y) when reflected in the y-axis.
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Now, we have P = (-4, -5), therefore its image when reflected in the y-axis will be (4, -5)
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