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 13 Page 459

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: K'(- 3,2), L'(- 3,4), M'(1,4), N'(1,2)

Practice makes perfect

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

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

Vertices of KLMN (x-4,y+3) Vertices of K'L'M'N'
K(1,- 1) (1 - 4,- 1 + 3) K'(- 3,2)
L(1,1) (1 - 4,1 + 3) L'(- 3,4)
M(5,1) (5 - 4,1 + 3) M'(1,4)
N(5,- 1) (5 - 4,-1 + 3) N'(1,2)
Let's do the translation!
translation