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Composition of transformations applied to points on a coordinate grid.

Graph showing pre-image points D(9,-3), E(6,-7), F(3,-3), G(5,-1) on a coordinate plane with transformations applied, including rotation and translation.

Graph showing pre-image points D(9,-3), E(6,-7), F(3,-3), G(5,-1) on a coordinate plane with transformations applied, including rotation and translation.

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Show Answer Key & Explanations Step-by-step solution for: Geometry Transformation Composition Key
- Apply R_{x=2} (reflection over the line x=2):
- D(9,-3) → D'(-5,-3)
- E(6,-7) → E'(-2,-7)
- F(3,-3) → F'(1,-3)
- G(5,-1) → G'(-1,-1)

- Apply T_{180°} (rotation 180° about origin):
- D'(-5,-3) → D''(5,3)
- E'(-2,-7) → E''(2,7)
- F'(1,-3) → F''(-1,3)
- G'(-1,-1) → G''(1,1)

- Apply T_{<-10,-1>} (translation by vector <-10, -1>):
- D''(5,3) → D'''(-5,2)
- E''(2,7) → E'''(-8,6)
- F''(-1,3) → F'''(-11,2)
- G''(1,1) → G'''(-9,0)
Parent Tip: Review the logic above to help your child master the concept of geometry transformations worksheet answers.
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