Sum

The point P (x, y) is first reflected in the x-axis and reflected in the origin to P’. If P’ has co-ordinates (-8, 5); evaluate x and y.

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#### Solution

M_{x} (x, y) = (x, -y)

M_{O} (x, -y) = (-x, y)

Thus, we get the co-ordinates of the point P’ as (-x, y). It is given that the co-ordinates of P’ are (-8, 5).

On comparing the two points, we get, x = 8 and y = 5

Concept: Reflection of a Point in a Line

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