Glide Reflections Worksheets
What Are Glide Reflections? In mathematics, transformation is performed on geometric shapes to alter the form of the shape. These transformations are of four types: resizing, rotations, reflection, and translation. Rotation is the type of transformation that includes rotating or spinning the figure around a fixed point. Resizing includes shrinking, stretching, or dilating the geometric shape. Reflection of geometric shapes is thought of reflecting a shape across the line of reflection. Translation includes sliding or moving the shape along the line to a new location. Glide reflections change the orientation of the shape. If a polygon is traversed counterclockwise, its image will be traversed clockwise and vice versa. Also, glide reflections do not have a fixed point and lines, but it has a fixed axis of reflection. Glide reflections are a unique kind of geometric transformations. It is a combination of two types of geometric translation: reflection and translation. To perform glide reflection, we first slide (translate) the geometric shape and then flip it to achieve the glide reflection. In some cases, moving the preimage to the image cannot be achieved by a single translation and reflection. Therefore, in such cases, we need a combination of reflection and translation. Some images are obtained by a single reflection; however, others may require two reflections.

Basic Lesson
Guides students through solving Glide Reflections. When a translation (a slide or glide) and a reflection are performed one after the other, a transformation called a glide reflection is produced. When two or more transformations are combined to form a new transformation, the result is called a composition of transformations.
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Intermediate Lesson
Demonstrates the concept of advanced skill while solving Glide Reflections. Write rule for composition of a dilation of scale factor 3 following a translation of 9 units to the left.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Glide Reflections. Distance is preserved under a glide reflection.
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Independent Practice 2
Students use Glide Reflections in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Glide Reflections.
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Halloween Math
What do you get when you divide the circumference of a jackolantern
by its diameter?
Answer: Pumpkin Pi!