Describe the dilation of triangle ABC , with a scale factor of 5 and a center point of dilation at the origin (0, 0) .
The dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0) means that each vertex of triangle ABC will be multiplied by a factor of 5 and then located on the coordinate plane.
Let's say the coordinates of vertex A are (x1, y1), the coordinates of vertex B are (x2, y2), and the coordinates of vertex C are (x3, y3).
To perform the dilation, we multiply each coordinate by 5.
The coordinates of the dilated vertex A would be (5*x1, 5*y1).
The coordinates of the dilated vertex B would be (5*x2, 5*y2).
The coordinates of the dilated vertex C would be (5*x3, 5*y3).
Therefore, the dilated triangle ABC will have the vertices A' (5*x1, 5*y1), B' (5*x2, 5*y2), and C' (5*x3, 5*y3).