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.
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.
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.