The symmetry property about a point

Lecture





Theorem.

The transformation of symmetry with respect to a point is movement.

The symmetry property about a point

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.
created: 2014-10-05
updated: 2021-03-13
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Planometry

Terms: Planometry