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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

7. Similarity Transformations

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Exercise 30 Page 600

A 270^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (b,- a).

2

Practice makes perfect

When a figure is rotated 270^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way.

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

(a,b)	(b,- a)
S(1,2)	S'(2,- 1)
T(0,5)	T'(5,0)
U(- 8,0)	L'(0,8)

As we can see, the x-coordinate of S after the given rotation is 2.

Subchapter links

Lesson Check p.597

Practice and Problem-Solving Exercises p.598-600

Standardized Test Prep p.600

Mixed Review p.600