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| + | A helpful tip to thinking about this question | ||
| + | -we can describe all rotations by an angle | ||
| + | |||
| + | -we can not describe reflections by an angle | ||
| + | |||
| + | -each reflection can be described about the axis it is reflected | ||
| + | |||
| + | -when to reflections are done in a row an angle between the axis of each reflection can be found | ||
| + | |||
| + | -this permutation can now be described by an angle | ||
| + | |||
| + | -thus it must also be a rotation | ||
| + | |||
| + | -zach | ||
Revision as of 10:57, 10 September 2008
A helpful tip to thinking about this question
-we can describe all rotations by an angle
-we can not describe reflections by an angle
-each reflection can be described about the axis it is reflected
-when to reflections are done in a row an angle between the axis of each reflection can be found
-this permutation can now be described by an angle
-thus it must also be a rotation
-zach
