Describe the dilation of triangle ABC , with a scale factor of 5 and a center point of dilation at the origin (0, 0) .

Answer 1

To perform a dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0), we will multiply the x and y coordinates of each vertex of the triangle by 5.

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).

After the dilation, the new coordinates of vertex A will be (5x1, 5y1), the new coordinates of vertex B will be (5x2, 5y2), and the new coordinates of vertex C will be (5x3, 5y3).

Thus, the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0, 0) is a new triangle with vertices A' (5x1, 5y1), B' (5x2, 5y2), and C' (5x3, 5y3).