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 2 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.

Graph:

polygons

Vertices: X'(- 6,- 7), Y'(- 5,- 4), Z'(0,- 5)

Practice makes perfect

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

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 2 units left and 3 units down. Therefore, we will subtract 2 from the x-coordinate and subtract 3 from the y-coordinate of each vertex.

Vertices of XYZ (x-2,y-3) Vertices of X'Y'Z'
X(- 4,- 4) (- 4 - 2,- 4 - 3) X'(- 6,- 7)
Y(- 3,- 1) (- 3 - 2,- 1 - 3) Y'(- 5,- 4)
Z(2,- 2) (2 - 2,- 2 - 3) Z'(0,- 5)
Let's do the translation!
translation