Mathematics
If P'(-4, -3) is the image of a point P under reflection in the origin, find
(i) the coordinates of P.
(ii) the coordinates of the image of P under reflection in the line y = -2.
Reflection
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Answer
(i) Since, P'(-4, -3) is the image of P under reflection in the origin, from graph P(4, 3).
Hence, the coordinates of P are (4, 3).
(ii) We know that the reflection of the point (x, y) in the line y = a is the point (x, -y + 2a).
∴ The image of the point P(4, 3) under reflection in the line y = -2 is the point P''(4, -(3) + 2 × (-2)) i.e., the point P''(4, -7).
Hence, the coordinates of P under reflection in the line y = -2 is (4, -7).
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