If two figures are congruent and have opposite orientations (but are not simply reflections of each other), then there are a translation and a reflection that will map one onto the other. A glide reflection is the composition of a translation (a glide) and a reflection across a line parallel to the direction of translation. You can map a left paw print onto a right paw print with a glide reflection.
Problem 3 Finding a Glide Reflection Image
Coordinate Geometry What is the image of
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The image of
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First use the translation rule to translate
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✓ Got It?
- Graph
Essential Understanding You can map one of two congruent figures in a plane onto the other by a single reflection, translation, rotation, or glide reflection.
Take Note Theorem 9-4: Isometry Classification Theorem
There are only four isometries.
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| Orientations are the same. | Orientations are opposite. |
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs