Mathematics
Point A (4, -1) is reflected as A' in the y-axis. Point B on reflection in the x-axis is mapped as B' (-2, 5). Write the co-ordinates of A' and B.
Reflection
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Answer
Reflection in y-axis is given by,
My(x, y) = (-x, y)
∴ Image on reflection of A(4, -1) in y-axis = A'(-4, -1).
Let B = (a, b)
Reflection in x-axis is given by,
Mx(x, y) = (x, -y)
∴ Image on reflection of B(a, b) in x-axis = B'(a, -b).
Given, B' = (-2, 5)
so, a = -2 and -b = 5
⇒ a = -2 and b = -5.
Hence, A' = (-4, -1) and B = (-2, -5).
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