Question

Find the image of the point A(5, –3) under reflection in the point P(–1, 3).

Answer 1

Image of the point A(5, –3) under reflection in the point P(–1, 3)

Let B(x, y) be the point of reflection of A(5, –3) under P(–1, 3)

∴ Point P is mid-point of AB

∴ `-1 = (5 + x)/2`

`=>` –2 = 5 + x

`=>` x = –2 – 5 = –7 and `3 = (-3 + y)/2`

`=>` 6 = –3 + y

`=>` y = 6 + 3 = 9

∴ Co-ordinates of B are (–7, 9) which is the image of point A.