Mid-Chapter Check
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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'(0,1), B'(1,- 3), C'(- 2,- 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 of 3 units to the left and 4 units down. Therefore, we will subtract 3 from the x-coordinate and subtract 4 from the y-coordinate of each vertex.
| Vertices of ABC | (x-3,y-4) | Vertices of A'B'C' |
|---|---|---|
| A(3,5) | (3 - 3,5 - 4) | A'(0,1) |
| B(4,1) | (4 - 3,1 - 4) | B'(1,- 3) |
| C(1,2) | (1 - 3,2 - 4) | C'(- 2,- 2) |