Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
5. Congruence Transformations
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Exercise 33 Page 585

First, perform the translation and then the reflection.

A'(- 3, 3), B'(- 4, 2), and C'(- 4,4)

Practice makes perfect

To find the coordinates of the images of A, B, and C for a glide reflection, we first perform the translation and then the reflection.

Translation

Let's graph △ ABC and apply the given translation. (x,y) → (x,y+1)

We will need to move â–ł ABC one unit up.

Reflection

To complete the reflection, we have to move all of the vertices of â–ł A'B'C' to the opposite side of the y-axis in a way such that the distance from the vertices to the y-axis remains the same.

Final Glide Reflection

The final glide reflection is the combined translation and reflection.

We can see that the coordinates after the glide reflection are equal to A'(- 3, 3), B'(- 4, 2), and C'(- 4,4).