![]() Some images/mathematical drawings are created with GeoGebra. If $A$ is first translated to the right and then reflected over the horizontal line, the same image is projected over $A^ = (6, 4)$ Answer Key The line of reflection is equidistant from both red points, blue points, and green points. Notice the colored vertices for each of the triangles. Then they identify more examples of these transfor - mations on Quadrant 1 coordinate grids. Let's look at two very common reflections: a horizontal reflection and a vertical reflection. H Activity 1 ACTIVITY Sketching & Identifying Transformations Overview Students sketch examples of translations (slides), rotations (turns), and reflections (flips) on a Quadrant 1 coordinate grid. Read more Halfplane: Definition, Detailed Examples, and MeaningĪs mentioned, translating the pre-image first before reflecting it over will still return the same image in glide reflection. A reflection is a 'flip' of an object over a line. Translation is another rigid transformation that “slides” through a pre-image to project the desired image.Reflection is a basic transformation that flips over the pre-image with respect to a line of reflection to project the new image.This means that the glide reflection is also a rigid transformation and is the result of combining the two core transformations: reflection and translation. By the end of the discussion, glide reflection is going to be an easy transformation to apply in the future! What Is a Glide Reflection?Ī glide reflection is the figure that occurs when a pre-image is reflected over a line of reflection then translated in a horizontal or vertical direction (or even a combination of both) to form the new image. In Geometry, a rigid motion definition of an object is when it moves and changes orientation and position while keeping its shape and size constant. It covers how the order of transformations affects the glide reflection as well as the rigidity of glide reflection. Writing it Down Sometimes we just want to write down the translation, without showing it on a graph. To see how this works, try translating different shapes here: Note: You can translate either by angle-and-distance, or by x-and-y. This article covers the fundamentals of glide reflections (this includes a refresher on translation and reflection). Every point of the shape must move: the same distance in the same direction. Read more Triangle Proportionality Theorem – Explanation and Examples ![]()
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