Point symmetry — find the centre

Point symmetry — find the centre

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Pick the coordinates of the centre of symmetry S.

A = (-2, -1)   ·   A' = (4, 3)

Pick S = the centre of point symmetry for A → A′:

What does this generator do?

The generator places a pair of symmetric points A and A′. Pick the centre of symmetry from four options.

How to solve it

The centre of symmetry S is the **midpoint** of segment AA′. Formula: S = (A + A′) / 2. Compute the half-sums: x_S = (x_A + x_{A′}) / 2, similarly for y.

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