Question

6. Figure ABC has vertices A (4,2), B(2,6), and C(6, 6). Sketch ABC and draw its image after the translation (x,y) → (x-6,y-3). 1 2

Answer 1

Locate the vertices on the plane and draw the figure:

Now, apply the translation to find the coordinates of the new figure.

`\begin{gathered} A\colon(4-6,2-3) \\ A\colon(-2,-1) \\ B\colon(2-6,6-3) \\ B\colon(-4,3) \\ C\colon(6-6,6-3) \\ C\colon(0,3) \end{gathered}`

Draw the new figure with coordinates D(-2,-1) E(-4,3) F(0,3):

This is a picture of the pre image ABC and the image DEF after the translation.