Given the triangle ABC
we will find the image of the triangle under a dilation whose center is P and the scale factor is 1/4.
From the point P, we will draw PA' = 1/4 PA
And PB' = 1/4 PB and PC' = 1/4 PC
The image of the triangle will be as shown in the following picture:
As shown A'B'C' is the image of the triangle ABC