The dilation of the angle DEF with a scale factor of 1/5 and a center point of dilation at the origin (0,0) means that each point D, E, and F will be moved closer to the origin by a factor of 1/5.
To find the new coordinates of D after the dilation, we multiply each coordinate of D by 1/5:
-5 * 1/5 = -1
5 * 1/5 = 1
So the new coordinates of D after dilation are D'(-1,1).
Similarly, for point E:
-10 * 1/5 = -2
-5 * 1/5 = -1
So the new coordinates of E after dilation are E'(-2,-1).
And for point F:
0 * 1/5 = 0
-5 * 1/5 = -1
So the new coordinates of F after dilation are F'(0,-1).
Therefore, after the dilation with a scale factor of 1/5 and a center at the origin, the new angle DE'F' would be formed with new points D'(-1,1), E'(-2,-1), and F'(0,-1).
Angle DEF contains the points D(-5,5), E(-10,-5), and F (0,-5). Describe the effect of the dilation of the angle with a scale factor of 1/5 and a center point of dilation at the origin (0,0).
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