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 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.

P'(- 8,- 1), Q'(- 3,- 3), R'(- 11,5)

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 8 units left and 1 unit down. Therefore, we will subtract 8 from the x-coordinate and subtract 1 from the y-coordinate of each vertex.

Vertices of PQR (x-8,y-1) Vertices of P'Q'R'
P(0,0) (0 - 8,0 - 1) P'(- 8, - 1)
Q(5,- 2) (5 - 8,- 2 - 1) Q'(- 3,- 3)
R(- 3,6) (- 3 - 8,6 - 1) R'(- 11, 5)
Let's do the translation!
translation