Mathematics

The point P(2, 3) is reflected in the line x = 4 to the point P'. Find the coordinates of the point P'.

Reflection

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Answer

We know that the reflection of the point (x, y) in the line x = a is the point (-x + 2a, y).

∴ The image of the point P(2, 3) under reflection in the line x = 4 is the point P'(-2 + 2 × 4, 3) i.e., the point P'(6, 3).

The coordinates of the point P' is (6, 3).

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