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 457

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: A'(- 1,3), B'(1,2), C'(1,5)

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 1 unit up. Therefore, we will subtract 2 from the x-coordinate and add 1 to the y-coordinate of each vertex.

Vertices of ABC (x-2,y+1) Vertices of A'B'C'
A(1,2) (1 - 2,2 + 1) A'(- 1,3)
B(3,1) (3 - 2,1 + 1) B'(1,2)
C(3,4) (3 - 2,4 + 1) C'(1,5)
Let's do the translation!
translation