Mathematics
The point (-5, 0) on reflection in a line is mapped as (5, 0) and the point (-2, -6) on reflection in the same line is mapped as (2, -6).
(a) Name the line of reflection.
(b) Write the co-ordinates of the image of (5, -8) in the line obtained in (a).
Reflection
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Answer
(a) Reflection in y-axis is given by,
My(x, y) = (-x, y)
The transformation (-5, 0) ⇒ (5, 0) is similar to above transformation.
∴ It is reflection in y-axis.
Hence, y-axis is the line of reflection.
(b) Reflection in y-axis is given by,
My(x, y) = (-x, y)
∴ Image of (5, -8) in y-axis = (-5, -8).
Hence, image of (5, -8) in line of reflection = (-5, -8).
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