Question

A triangle with the coordinates A (-5, 2), B (1, 3), and C (-5, -8) is dilated with a scale

factor of 5 with the origin as the center of dilation. What are the coordinates of B'?

Answer 1

To dilate a triangle with a scale factor of k with the origin as the center of dilation, you can multiply the coordinates of each vertex of the triangle by k.

In this case, the scale factor is 5, so the coordinates of the vertices of the dilated triangle will be (5x, 5y) for the original coordinates (x, y).

Therefore, the coordinates of B' will be (51, 53) = (5, 15). So the coordinates of B' are (5, 15).