Mid-Chapter Quiz
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Use the translation to move the points by subtracting 3 units from the x-coordinates and adding 5 units to the y-coordinate.
W'(- 7,6), X'(- 1,- 2), and Y'(- 3,2)
Before we attempt to translate the given points, let's draw the triangle △ WXY on a coordinate plane using the given points.
Now that we have the preimage, we can obtain the vertices of the image using the translation (x,y) → (x-3,y+5). The translation tells us that for every point in △ WXY, we should subtract 3 from the x-coordinate and add 5 to the y-coordinate. ccc (x,y) &→ &(x-3,y+5) W(- 4,1) &→ & W'(- 7,6) X(2,- 7) &→ & X'(- 1,- 2) Y(0,- 3) &→ & Y'(- 3,2)
Now we have the points for the image. Let's add them to the same coordinate plane as the preimage.
We can see that the translation moved the points to the left and up. Finally, we can connect the points to obtain the new triangle.
