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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

1. Translations

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Exercise 17 Page 550

Count the units you move horizontally and vertically to get from a vertex of preimage to the corresponding vertex of the image.

T_(⟨1, - 1⟩)(x,y)

Practice makes perfect

To write a rule for the translation, it is enough to consider only one set of corresponding vertices. For this polygon, we will consider the upper vertices. Let's count the number of units we move vertically and horizontally to map a point of the preimage to a point of the image.

We can see that we moved right 1 unit and down 1 unit to get from the preimage to the image. Now, remember that horizontal translations affect the x-coordinate and vertical translations affect the y-coordinate. Let's finally write a rule for the transformation. (x + 1,y - 1) → T_(⟨ 1, - 1⟩)(x,y)

Subchapter links

Lesson Check p.549

Standardized Test Prep p.552

Mixed Review p.552