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: K'(- 3,2), L'(- 3,4), M'(1,4), N'(1,2)
Let's start by plotting the given points and connecting them to draw our rectangle.
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 left and 3 units up. Therefore, we will subtract 4 from the x-coordinate and add 3 to the y-coordinate of each vertex.
Vertices of KLMN | (x-4,y+3) | Vertices of K'L'M'N' |
---|---|---|
K(1,- 1) | (1 - 4,- 1 + 3) | K'(- 3,2) |
L(1,1) | (1 - 4,1 + 3) | L'(- 3,4) |
M(5,1) | (5 - 4,1 + 3) | M'(1,4) |
N(5,- 1) | (5 - 4,-1 + 3) | N'(1,2) |