:
δlʹmʹnʹ is a dilation of δlmn with the origin as the center of dilation.
the coordinates of the vertex of ∠lʹmʹnʹ are (6, 12).
if the scale factor is 3, what are the coordinates of the vertex of ∠lmn?

Since the origin is the center of the dilation, this means we simply multiply every coordinate of the given point by the scale factor.

(6,12) would turn into (18,36) since
6*3 = 18
12*3 = 36

The final answer is (18,36)