1. Translations
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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:
Vertices: X'(- 1,0), Y'(0,3), Z'(5,2)
Let's start by plotting the given points and connecting them to draw our triangle.
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) |