I know that A right triangle has line symmetry, but does It have Point Symmetry?
The Def. of Point Symmetry is Point of rotation (according to The Teacher).
Point of Rotation: A figure in a plane has rotational symmetry if the figure can be mapped onto itself by a rotation of 180 degrees or less.
Rotation: A type of transformation in which a figure is turned around a fixed point, called the center of rotation.
Using these definitions, I know that if you rotate the triangle less than 360 degrees, you don't have symmetry (the figure is not mapped onto itself). Can you however rotate the figure 0 degrees, in which the figure is mapped onto itself? I believe that this follows the defs., and I realize that this gives every figure a point of symmetry (But couldn't this just be a type of reflexive property?). Is there a theorem somewhere that says that a rotation must be greater that 0?
2006-06-27
12:01:50
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4 answers
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asked by
ipndrmath
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