Theorem.
The transformation of symmetry with respect to a point is movement.
Evidence.
Let A and B be two arbitrary points of the figure F. The transformation of symmetry with respect to the point O takes them to the points A `and B` AO = OA`, BO = OB` - by construction). Consequently, AB = A`B`, which means symmetry with respect to the point O is motion. The theorem is proved. |
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Planometry
Terms: Planometry