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CTK Exchange
maaranda
Member since Mar-23-07
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Mar-23-07, 11:04 PM (EST) |
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"MATH"
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I have a questions with item #8 on this website (Reflection in line). #8 states: The order of reflection matters, two reflections do not commute. In fact, for two lines L & S:
SLSM = -SMSL
Can you explain this statement? I am confused. |
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alexb
Charter Member
1977 posts |
Mar-23-07, 11:12 PM (EST) |
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2. "RE: MATH"
In response to message #0
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If the two lines intersect then the product of successive reflections is a rotation about the point of intersection of the two lines. The angle of rotation is double the angle between the lines. Depending on the order of reflections the rotation is either clockwise or counterclockwise. If the two lines are parallel, the product of reflections is a translation in the direction perpendicular to the lines. The direction itself depends on the order of reflections. |
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