Fraternity describe the dilation of triangle ABC with the scale factor of 5 and a center point of dilation at the origin ( 0, 0)
When a triangle ABC is dilated with a scale factor of 5 and a center point of dilation at the origin (0, 0), every point on the triangle is multiplied by a factor of 5 and its distance from the origin is preserved.
To perform this dilation, you would multiply the coordinates of each vertex of the triangle by the scale factor of 5. Let's say the coordinates of vertex A were (x1, y1), the coordinates of vertex B were (x2, y2), and the coordinates of vertex C were (x3, y3).
After the dilation, the new coordinates of vertex A would be (5x1, 5y1), the new coordinates of vertex B would be (5x2, 5y2), and the new coordinates of vertex C would be (5x3, 5y3). These new coordinates represent the vertices of the dilated triangle.
In summary, the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin would result in a new triangle with vertices at (5x1, 5y1), (5x2, 5y2), and (5x3, 5y3).