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pGeo C4 Post/The/Cor

pGeometry C4 Postulates/Theorems/Corollaries

TermDefinition
Translation Postulate A translation is a rigid motion
Reflection Postulate A reflection is a rigid motion
Rotation Postulate A rotation is a rigid motion
Composition Theorem The composition of two (or more) rigid motions is a rigid motion
Reflections in Parallel Lines Theorem 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 A″ is the image of A, then 1. Seg AA″ is perpendicular to k and m, and 2. AA″ = 2d, where d is the distance between k and m.
Reflections in Intersecting Lines Theorem If lines k and m intersect at point P, then a reflection in line k followed by a reflection in line m is the same as a rotation about point P. The angle of rotation is 2x°, where x° is the measure of the acute or right angle formed by lines k and m.
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