The points P (4, 1) and Q (-2, 4) are reflected in line y = 3. Find the co-ordinates of P', the imae of P and Q', the image of Q.

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Solution

The line y = 3 is a line parallel to x-axis and at a distance of 3 units from it.
Mark points P (4, 1) and Q (-2, 4).
From P, draw a straight line perpendicular to line CD and produce. On this line mark a point P’ which is at the same distance above CD as P is below it.
The co-ordinates of P’ are (4, 5).
Similarly, from Q, draw a line perpendicular to CD and mark point Q’ which is at the same distance below CD as Q is above it.
The co-ordinates of Q’ are (-2, 2).

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