© Copyright 2005, 2006 - Timothy Peil
3.5 Explore
Theorem 3.27
People are afraid of what they do not
understand.
—Author Unknown
Theorem 3.27. Every Isometry of a Euclidean plane is the composition of at most three reflections.
Drag the red points to explore
the number compositions of
reflections to form a translation, rotation, and glide reflection as illustrated in the
following three dynamic diagrams.
To reset to the original settings, type the letter "R" on the keyboard.
Translation
Rotation
Glide Reflection
JavaSketchpad,
a World-Wide-Web component of
The Geometer's Sketchpad.
Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial
use.
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© Copyright 2005, 2006 - Timothy Peil |