Question

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

• A. $$(4,5);(-2,2)$$
• B. $$(4,-1);(-2,2)$$
• C. $$(4,-1);(2,-4)$$
• D. $$(4,-1);(2,-2)$$

Answer 1

The correct option is A $$(4,5);(-2,2)$$

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.
Hence, 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.
Therefore, the co-ordinates of Q’ are (-2, 2).