Question
Given the coordinates of the quadrilateral, find the graph that is the dilation of 1/4 about the origin.
C(-2, 2), D(-2, 2), E(-1, 2), F(3, -1)
C(-2, 2), D(-2, 2), E(-1, 2), F(3, -1)
Answers
GPT 3.5
To find the new coordinates of the quadrilateral after a dilation of 1/4 about the origin, we need to multiply each coordinate by the dilation factor of 1/4.
The new coordinates would be:
C' = (-2*1/4, 2*1/4) = (-0.5, 0.5)
D' = (-2*1/4, 2*1/4) = (-0.5, 0.5)
E' = (-1*1/4, 2*1/4) = (-0.25, 0.5)
F' = (3*1/4, -1*1/4) = (0.75, -0.25)
Now we can plot these new coordinates on a graph to see the dilation of the original quadrilateral about the origin.
The new coordinates would be:
C' = (-2*1/4, 2*1/4) = (-0.5, 0.5)
D' = (-2*1/4, 2*1/4) = (-0.5, 0.5)
E' = (-1*1/4, 2*1/4) = (-0.25, 0.5)
F' = (3*1/4, -1*1/4) = (0.75, -0.25)
Now we can plot these new coordinates on a graph to see the dilation of the original quadrilateral about the origin.