The reflection of A (2, 3) in the line y = x is A' (3, 2). Write down the co-ordinates of the image of each of the points reflected in the line y = x
(i) (4, 1)
(ii) (- 2, - 3).[2Marks]
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Solution
The reflection of A (2, 3) in the line y = x is A'(3, 2).
In this reflection the x and y co-ordinates are interchanged.[1Mark]
Therefore the reflection of given points in the line y = x will be
(i) (1, 4)
(ii) (- 3, - 2)[1Mark]