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.
D'(5,- 5), E'(2,- 7), F'(6,- 1), G'(10,- 8)
Let's start by plotting the given points and connecting them to draw our quadrilateral.
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 right and 5 units down. Therefore, we will add 4 to the x-coordinate and subtract 5 from the y-coordinate of each vertex.
Vertices of DEFG | (x+4,y-5) | Vertices of D'E'F'G' |
---|---|---|
D(1,0) | (1 + 4,0 - 5) | D'(5,- 5) |
E(-2,-2) | (- 2 + 4,- 2 - 5) | E'(2,- 7) |
F(2,4) | (2 + 4,4 - 5) | F'(6,- 1) |
G(6,- 3) | (6 + 4,- 3 - 5) | G'(10,- 8) |