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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

3. Rotations

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Exercise 18 Page 565

A 180^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- a,- b).

Practice makes perfect

Let's start by looking at the given polygon.

When a figure is rotated 180^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way.

(a,b)→ (- a,- b) Using this rule and the vertices of the polygon, we can find the x- and y-coordinates of the image's vertices.

(a,b)	(- a,- b)
J(3,2)	J'(- 3,- 2)
F(0,3)	F'(0,- 3)
G(- 4,1)	G'(4,- 1)
H(1,- 4)	H'(- 1,4)

Knowing the vertices of F'G'H'J', we can draw the image.

Subchapter links

Lesson Check p.564

Practice and Problem-Solving Exercises p.564-566

Standardized Test Prep p.567

Mixed Review p.567