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: A'(- 1,3), B'(1,2), C'(1,5)
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 2 units left and 1 unit up. Therefore, we will subtract 2 from the x-coordinate and add 1 to the y-coordinate of each vertex.
Vertices of ABC | (x-2,y+1) | Vertices of A'B'C' |
---|---|---|
A(1,2) | (1 - 2,2 + 1) | A'(- 1,3) |
B(3,1) | (3 - 2,1 + 1) | B'(1,2) |
C(3,4) | (3 - 2,4 + 1) | C'(1,5) |