The image after a dilation with a scale factor of 3 is A(-6, -3), B(0, 3), and C(3, -9) of triangle ABC.
Here, the coordinates are,
D = (-2, -1)
E = (0 , 1)
F = (1, -3)
After dilating triangle DEF using a scale factor of 3 and a center of dilation at the origin to form triangle ABC.
A = (-2 x 3, -1 x 3) = (-6, -3)
B = (0 x 3, 1 x 3) = (0, 3)
C = (1 x 3, -3 x 3) = (3, -9)
Line segments,
AB = 8.48
BC = 12.36
CD = 10.81
Therefore, after dilation by using a scale factor of 3 is A(-6, -3), B(0, 3), and C(3, -9).
Learn more about dilation here -
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