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Concept

Reflection of Geometric Objects

A reflection is a transformation in which every point of a figure is reflected in a line. The line in which the points are reflected is called the line of reflection and acts like a mirror.
Triangle being reflected across a movable line
More precisely, a reflection across a line maps every point A in the plane into its image such that one of the following statements is satisfied.
  • If A is on the line then A and are the same point.
  • If A is not on the line then is the perpendicular bisector of
Segment AA' and line ell showing the right angle and the congruence hatches

Like rotations and translations, reflections are also rigid motions because they preserve the side lengths and angle measures. However, reflections change the orientation of the preimage.

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