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17 Cards in this Set
- Front
- Back
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Translation |
Slid right or left |
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Symmetry |
A symmetry of an object is a rigid motion of the plane that leaves the object apparently unchanged. |
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Reflection |
To flip an object |
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Identity |
A 0 degree rotation or a 360 degree rotation. |
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Proper Rigid Motion |
If the object reserves orientation (right hand is still a right hand) (rotations) |
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Improper Rigid Motion |
When the object reverses orientation (right hand is now a left hand) (reflections) |
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Bounded Object |
If the object is fully contained in a square in the plane. |
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Unbounded Object |
If it is not contained within a square in the plane. |
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Regular N-sided Polygon |
Is the shape in the plane enclosed by n equals length straight sides, assembled so that all n angles are equal. |
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Orientation |
If the object has no improper symmetries (no reflections) |
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Oriented Polygon |
A oriented shape that have rotation symmetries but no reflection symmetries. |
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Border Pattern |
If all translations are parallel to a single line. Continues forever right and left |
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Wallpaper Pattern |
Infinitly stretches in all directions. |
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Glide Relfection |
Performing a translation (slide) then a reflection (flip) |
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The Center Point Theorem |
Any bounded Object in the plane has a "center point" such that: (1) every proper symmetry is a rotation about this center point, and (2)every improper symmetry is a flip over a line through this center point. |
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Composition |
The addition of symmetry. A*B this means do B then A. |
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Cayley Table |
The composition chart |
