Reflections. What is a reflection? A reflection is a transformation where a preimage and an image are congruent with opposite orientations In a reflection,

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Presentation transcript:

Reflections

What is a reflection? A reflection is a transformation where a preimage and an image are congruent with opposite orientations In a reflection, corresponding vertices are equidistant from a line of reflection A reflection is an isometry

Reflecting a Point Across a Line 1.Graph the point and the line of reflection -Use a dashed line to indicate the line of reflection 2.Count the perpendicular distance from the point to the line of reflection 3.Create the point the same perpendicular distance away the line of reflection on the opposite side 3 units difference

Example

Graphing a Reflection Image 1.Graph the image 2.Reflect the vertices of the preimage 3.Connect the vertices of the image in the same order as the preimage

Example

Reflections Across Parallel Lines A composition of reflections across two parallel lines can also be viewed as a translation – The total distance of the translation is twice the distance between the parallel lines