1. Translations
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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) |