# Symmetric Point

If **A'** is the **symmetric** of **A** with respect to **M**, then **M** is the **midpoint** of the line segment** AA'**.

Calculate the symmetric point of A = (7, 4) with the midpoint M = (3, −11).

#### Examples

Calculate the symmetric point of A = (4, −2) for midpoint M = (2, 6).

Find the symmetric point A' for the point A = (3, 2), with the line of symmetry: r ≡ 2x + y − 12 = 0.

The line r ≡ x + 2y − 9 = 0 is the perpendicular bisector of the line segment AB whose endpoint A has the coordinates (2, 1). Find the coordinates of the other endpoint.

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