Point symmetry — find the image of a point

Point symmetry — image of a point

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Pick the coordinates of the image of A under the point symmetry centred at S.

A = (-3, 2)   ·   S = (1, 1)

Pick A′ = the image of A under the symmetry about S:

What does this generator do?

The generator places a point A and a centre of symmetry S on a coordinate grid. Pick A′ from four options.

How to solve it

Formula: A′ = 2·S − A. The centre S is exactly the midpoint of segment AA′, so it "mirrors" A to the same distance on the opposite side.

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