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Reflection $$(x', y')$$ of point $$(x_1, y_1)$$ over line $$ax + by + c = 0$$:
$$\frac{x' - x_1}{a} = \frac{y' - y_1}{b} = -\frac{2(ax_1 + by_1 + c)}{a^2 + b^2}$$
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