Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
1. Translations
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Exercise 4 Page 456

Translations are done by adding or subtracting values from the x-coordinate if the figure is being moved left or right, and from the y-coordinate if the figure is being moved up or down.

D'(5,- 5), E'(2,- 7), F'(6,- 1), G'(10,- 8)

Practice makes perfect

Let's start by plotting the given points and connecting them to draw our quadrilateral.

polygon

Translations are done by adding or subtracting values from the x-coordinate if the figure is being moved left or right, and from the y-coordinate if the figure is being moved up or down. We want to draw the image of our figure after a translation 4 units right and 5 units down. Therefore, we will add 4 to the x-coordinate and subtract 5 from the y-coordinate of each vertex.

Vertices of DEFG (x+4,y-5) Vertices of D'E'F'G'
D(1,0) (1 + 4,0 - 5) D'(5,- 5)
E(-2,-2) (- 2 + 4,- 2 - 5) E'(2,- 7)
F(2,4) (2 + 4,4 - 5) F'(6,- 1)
G(6,- 3) (6 + 4,- 3 - 5) G'(10,- 8)
Let's do the translation!
translation