Answer:
(-2, 1), (-1, 4) and (1, 2)
Step-by-step explanation:
We are given a triangle with points (-4, 2), (-2, 8) and (2, 4) and we are to graph the image of the given triangle after a dilation with a scale factor of [tex]\frac{1}{2}[/tex] centered at the origin.
So, we will multiply the coordinates of each point by [tex]\frac{1}{2}[/tex] to get the points of the image after dilation.
(-4, 2) --> [tex]\frac{1}{2}(-4, 2) = (-2, 1)[/tex]
(-2, 8) --> [tex]\frac{1}{2}(-2, 8) = (-1, 4)[/tex]
(2, 4) --> [tex]\frac{1}{2}(2, 4) = (1, 2)[/tex]
Therefore, the coordinates of the image of the given figure after dilation will be (-2, 1), (-1, 4) and (1, 2).
