Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
3. Rotations
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Exercise 20 Page 565

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

P(2,3),R(5,-2),S(0,0)

Practice makes perfect

Let's start by graphing the given coordinates so that we can see the polygon.

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)
P(- 3,2) P'(2,3)
R(2,5) R'(5,-2)
S(0,0) S'(0,0)