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Symmetry
Symmetry in Figures
| Term | Definition |
|---|---|
| Symmetry | if there is a rigid motion - reflection, translation, rotation, or glide reflection - that maps the figure onto itself. |
| Line Symmetry | if a figure can map onto itself by a reflection in a line |
| Rotational Symmetry | if figure can be mapped onto itself by a rotation between 0 and 360 degrees about the center of the figure |
| Point Symmetry | if a figure can be rotated 180º around a center and match an image of itself so it looks the same from either direction, that is, having rotational symmetry of order 2. |
| Order of Symmetry | the number of times a figure maps onto itself as it rotates from 0 to 360 degrees |
| Magnitude of Symmetry | the smallest angle through which a figure can be rotated so that it maps onto itself... found by dividing 360 degrees by the order of symmetry |
| Line of Symmetry | is the imaginary line where you could fold the image and have both halves match exactly, also called Line of Reflection |
| Asymmetrical | does not have sides exactly the same; one half is not not a mirror reflection of the other, an object has no lines of symmetry |