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GeoGebraClasse GeoGebra

Composition of Transformation

This composition of transformations was performed correctly because, reflections being rigid motions, the pre image and image are congruent. The first reflection is over the line y=-1, the second reflection is over the y axis, and the third reflection is over the line y=-1. These reflections are accurate because if an imaginary line was drawn between corresponding points on the image and its pre image, the line is a perpendicular bisector of the line of reflection and the points are equidistant from the line of reflection. This applies to each step of the composition of transformations.