)(ABCD) This means we should subtract 6 from each x-coordinate and add 8 to each'>

Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Test
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Exercise 2 Page 607

Add or subtract the necessary values to the x- and y-coordinates to find the new points.

A'(-3,8) B'(-5,6) C'(-3,3) D'(1,7)

Practice makes perfect

Let's begin by identifying the vertices of the given polygon.

We are asked to translate the given polygon using a translation written in function notation.

T_(< -6, 8>)(ABCD) This means we should subtract 6 from each x-coordinate and add 8 to each y-coordinate of all of the vertices of ABCD.

(x,y) (x- 6,y+ 8) (x',y')
(3,0) (3- 6,0+ 8) (- 3,8)
(1,- 2) (1- 6,- 2+ 8) (-5,6)
(3,- 5) (3- 6,- 5+ 8) (-3,3)
(7,- 1) (7- 6,- 1+ 8) ( 1,7)

With these points, we are able to draw the transformed polygon.

As we can see, A'(-3,8), B'(-5,6), C'(-3,3), and D'(1,7) are the coordinates of the image of ABCD.