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.

Translation in Two Reflections

Drag P or Q of the vector PQ.
Drag X, Y, or Z of the triangle XYZ.

Rotation in Two Reflections

Drag the point for the angle measure.
Drag the center O of rotation.
Drag the points X, Y, or Z of the triangle XYZ.

Glide Reflection in Three Reflections

Drag P or Q of the vector PQ.
Drag X, Y, or Z of the triangle XYZ.

Timothy Peil, 1 February 2013, Created with GeoGebra

3.5 Reflections and Glide ReflectionsBack to Reflections and Glide Reflections
Ch. 3 Transformational TOC  Table of Contents
  Timothy Peil  Mathematics Dept.  MSU Moorhead
© Copyright 2013 - Timothy Peil