Question

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

Answer 1

To describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0), we need to take each of the vertices of the triangle and multiply their coordinates by the scale factor.

Let's say the coordinates of point A are (x1, y1), the coordinates of point B are (x2, y2), and the coordinates of point C are (x3, y3).

After applying the dilation with a scale factor of 5, the new coordinates of the triangle vertices can be calculated as follows:

Point A' = (5x1, 5y1)
Point B' = (5x2, 5y2)
Point C' = (5x3, 5y3)

Therefore, the dilated triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0) can be represented by the vertices A', B', and C' which have coordinates (5x1, 5y1), (5x2, 5y2) and (5x3, 5y3) respectively.