Key Objectives • Identify and draw reflections. Key Terms • An isometry is a transformation that does not change the shape or size of a figure. Example 1 Identifying Reflections 12.1.1 Reflections
Whether a transformation appears to be a reflection is determined in this example. A reflection is a transformation across the line of reflection in which each point in the preimage is the same distance from the line of reflection as the corresponding point in the image. The two figures do appear to be mirror images of each other across the line of reflection. This transformation is a reflection. Whether a transformation appears to be a reflection is determined in this example. A reflection is a transformation across the line of reflection in which each point in the preimage is the same distance from the line of reflection as the corresponding point in the image. The two figures do not appear to be mirror images of each other across the potential line of reflection that runs from the lower left to upper right. Points on one image do not have corresponding points equidistant from the line of reflection in the other image. The same is true of a second potential line of reflection, which runs from the upper left to the lower right. This transformation is a not reflection.
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