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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

2. Reflections

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Exercise 19 Page 557

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 △ RST.

The given rule of translation represents a vertical translation 4 units up. (x,y) → (x,y+4) To perform the translation, we have to add 4 to each y-coordinate.

Reflection

To perform the reflection, we have to reflect the vertices of △ R'S'T' on the opposite side of x=3 in a way such that the distance from the vertices to x=3 remains the same.

Final Glide Reflection

The final glide reflection is the combined translation and reflection.

Subchapter links

Communicate Your Answer p.551

Monitoring Progress p.552-555

Exercises p.556-558