Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
2. Reflections
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Exercise 18 Page 187

A glide reflection is a transformation involving a translation followed by a reflection.

Practice makes perfect

To complete a glide reflection, we first perform the translation and then the reflection.

Translation

Let's begin by drawing â–ł RST.

The given rule of translation represents a horizontal translation 3 units left. (x,y) → (x - 3,y) To perform the translation, we have to subtract 3 from each x-coordinate.

Reflection

To perform the reflection, we have to reflect the vertices of â–ł R'S'T' on the opposite side of y=-1 in a way such that the distance from the vertices to the line remains the same.

Final Glide Reflection

The final glide reflection is the combined translation and reflection.