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Chapter 9 - Geo.
Chapter 9 Thorems/ Collaries/ Postulates
|Translation Theorem||A translation is an isometry|
|Reflection Theorem||A reflection is an isometry|
|Composition Theorem||A rotation is an isometry|
|Reflections in Parallel Lines||If lines k and m are parallel, then a reflection in line k followed by a reflection in line m is the same as a translation; If P" is the image of P, then:(1) line PP' is perpendicular to k and m, and (2)line PP"=2d where d is the distance between k and m|
|Reflections inn Intersecting Lines||If lines k and m intersect at point P, then a reflection in k followed by a reflection in m is the same as a rotation about point P; the angle of rotation is 2x degrees, where x degrees is the measure of the acute or right angle formed by k and m|