Central symmetry
Overview
Important
Central symmetry with respect to point O maps every point A to a point A' such that O is the midpoint of the segment AA'. This means OA = OA' and the points O, A, and A' are collinear.
Important properties
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Central symmetry preserves distances and angles (it is an isometry).
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It is equivalent to a rotation by 180° about the center O.
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Applying central symmetry twice returns every point to its original position.
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Figures symmetric with respect to a point look the same after a 180° rotation about that point.