In each exercise a glide reflection is described. Graph A B C and its image under the glide, A^'

step 1 Then we know the reflection of this on the other side would be like this, and this one would be

In each exercise a glide reflection is described. Graph A B...

In each exercise a glide reflection is described. Graph $\triangle A B C$ and its image under the glide, $\triangle A^{\prime} B^{\prime} C^{\prime}$ . Also graph $\triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime},$ the image of $\triangle A^{\prime} B^{\prime} C^{\prime}$ under the reflection. Glide: All points move up 4 units. Reflection: All points are reflected in the $y$ -axis. $A(1,0), B(4,2), C(5,6)$

In each exercise a glide reflection is described. Graph $\triangle A B C$ and its image under the glide, $\triangle A^{\prime} B^{\prime} C^{\prime}$ . Also graph $\triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime},$ the image of $\triangle A^{\prime} B^{\prime} C^{\prime}$ under the reflection.
Glide: All points move up 4 units.
Reflection: All points are reflected in the $y$ -axis.
$A(1,0), B(4,2), C(5,6)$

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Key Concepts

Translation

Translation is a geometric transformation that shifts every point of a figure the same distance in a specified direction. In coordinate geometry, this is accomplished by adding a constant to the points' coordinates, thereby preserving the shape and size of the figure.

Reflection

Reflection is a transformation producing a mirror image of a figure over a specific line, known as the line of reflection. In the context of coordinate geometry, reflecting a point over the y-axis, for example, involves changing the sign of its x-coordinate while keeping its y-coordinate unchanged.

Glide Reflection

A glide reflection is a composite transformation that involves both a translation and a reflection. This transformation moves every point of a figure along a fixed vector (translation) and then reflects the translated figure over a line (reflection), resulting in a congruent image that is both shifted and flipped.

Coordinate Transformations

Coordinate transformations involve applying rules or functions to the coordinates of points to change the position or orientation of geometric figures. These techniques are essential for graphing figures and understanding the effects of various transformations such as translations, reflections, rotations, and glide reflections.

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