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McGraw Hill Integrated I, 2012
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McGraw Hill Integrated I, 2012 View details
7. Compositions of Transformations
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Exercise 1 Page 922

First perform the translation and then the reflection.

Practice makes perfect

Let's begin by drawing â–ł CDE that has vertices C(-5, -1), D(-2, -5), and E(-1, -1).

To graph its image after the indicated glide reflection, we first perform the translation and then the reflection.

Translation

To translate △ CDE along vector ⟨ 4, 0 ⟩, we have to add 4 to each x-coordinate. (x,y) → (x+4,y) Let's draw the triangle obtained by the translation.

Reflection

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

Final Glide Reflection

The final glide reflection is the combined translation and reflection.

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arrow_right Check Your Understanding p.922
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arrow_right Practice and Problem Solving p.922-925
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arrow_right H.O.T. Problems p.925
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arrow_right Standardized Test Practice p.926
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arrow_right Spiral Review p.926
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arrow_right Skills Review p.926
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