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

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 3 units right and 4 units up. Therefore, we will add 3 to the x-coordinate and add 4 to the y-coordinate of each vertex.

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