Honors Geometry Transformations Section 1 Reflections

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# Honors Geometry Transformations Section 1 Reflections - PowerPoint PPT Presentation

Honors Geometry Transformations Section 1 Reflections. A transformation is a movement of a figure in a plane from its original position to a new position.

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Presentation Transcript
A transformation is a movement of a figure in a plane from its original position to a new position.

The original figure is called the , while the figure resulting from the transformation is called the . A point in the image is usually named by adding a prime symbol (  ) to the name of the point in the preimage.

preimage

image

A reflection in a line m (or flip over line m) is a transformation that maps (or matches up) any point P to a point so that these two properties are true.1. If P is not on m, then2. If P is on m, then

Example 1: Consider reflecting point A(3, 5) in the given line. Give the coordinate of its image.Aa) x-axis ________b) y-axis ________c) the line y = 1 _______d) the line x = -2 ________

The previous statement is the formal definition of a line of symmetry, but it is much easier to think of a line of symmetry as the line where the figure can be folded and have the two halves match exactly.