Prove Theorem 10.2, Reflective Property of a Parabola, as shown in the figure.

Data from in Theorem 10.2

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THEOREM 10.2 Reflective Property of a Parabola Let P be a point on a parabola. The tangent line to the parabola at point P makes equal angles with the following two lines. 1. The line passing through P and the focus 2. The line passing through P parallel to the axis of the parabola