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