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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 46 Page 576

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 graphing the given coordinates so that we can see the polygon.

When a figure is rotated 180^(∘) counterclockwise about the origin, the coordinates of the vertices of the preimage 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 vertices of the image.

(a,b)	(- a, - b)
A(4,2)	A'(- 4,- 2)
B(2,8)	B'(- 2,- 8)
C(8,0)	C'(- 8,0)

Knowing the vertices of △ A'B'C', we can draw the image.

Subchapter links

Lesson Check p.573

Practice and Problem-Solving Exercises p.574-576

Standardized Test Prep p.576

Mixed Review p.576