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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 15 Page 604

A 270^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that r_((270^(∘),O))(x,y)=(y,- x).

W'(-1,-3) X'(2,-5) Y'(8,0) Z'(-1, -2)

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.

r_((270^(∘),O))(x,y)=(y,- x) Using this rule and the vertices of the polygon, we can find the x- and y-coordinates of the image's vertices.

(x,y)	(y,- x)
W(3,-1)	W'(-1,-3)
X(5,2)	X'(2, - 5)
Y(0,8)	Y'(8,0)
Z(2,- 1)	Z'(-1,-2)

Knowing the vertices of r_((270^(∘),O))(WXYZ), we can draw the image.