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Question
P and Q have co-ordinates (–2, 3) and (5, 4) respectively. Reflect P in the x-axis to P’ and Q in the y-axis to Q’. State the co-ordinates of P’ and Q’.
Solution
Reflection in x-axis is given by Mx (x, y) = (x, –y)
P’ = Reflection of P(–2, 3) in x-axis = (–2, –3)
Reflection in y-axis is given by My (x, y) = (–x, y)
Q’ = Reflection of Q(5, 4) in y-axis = (–5, 4)
Thus, the co-ordinates of points P’ and Q’ are (–2, –3) and (–5, 4) respectively.
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