Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
4. Compositions of Isometries
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Exercise 13 Page 574

First perform the translation and then the reflection.

Practice makes perfect

Let's first identify the coordinates of â–ł PNB.

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

Translation

To translate â–ł PNB three units down, we have to subtract 3 from each y-coordinate.

(x,y) → (x,y -3) Let's do this for the three vertices.

(x,y) (x,y -3) (x',y')
P(2, 2) ( 2, 2 -3) P'( 2,-1)
N(3,-1) ( 3,-1 -3) N'( 3,-4)
B(- 1,- 2) (-1,- 2 -3) B'(-1,-5)

With these points, we are able to draw transformed image as â–ł P'N'B'.

Reflection

To complete the reflection, we have to reflect all of the vertices of â–ł P'N'B' on the opposite side of the y-axis. The distance from the vertices to the y-axis remains the same. We will call the reflected image â–ł P''N''B''.

Final Glide Reflection

The final glide reflection is the combined translation and reflection.