Describe the dilation of triangle ABC, with a scale factor of five and a centerpoint of dilation at the origin (0,0)
To dilate triangle ABC with a scale factor of five and a centerpoint at the origin, each vertex of the original triangle would be expanded or contracted by a factor of five from the origin.
If we denote the vertices of the original triangle ABC as A(x1, y1), B(x2, y2), and C(x3, y3), the vertices of the dilated triangle would be A'(5x1, 5y1), B'(5x2, 5y2), and C'(5x3, 5y3).
The resulting triangle would be elongated or shrunk by a factor of five in comparison to the original triangle, with the center of dilation at the origin (0,0).