Question

triangle a’b’c’ is the image of triangle abc under a dilation whose center is p and a scale factor is 3/2. which figure correctly shows triangle a’b’c’ using the solid line

Answer 1

We are given the following triangle

We are told that we are going to apply a dilation of a scale factor of 3/2 and that it is centered at P. The fact that it is centered at P means that we are going to fix P and we are going to calculate distances from each point with respect point P.

What a dilation means is that we are going to take any distance with respect point P and then we will multiply it by the scale factor. Since the scale factor is 3/2=1.5 is greater than 1, this means that the resultant triangle must be oubigger than the original triangle. Also, this means that the distance of each point in the new triangle should be 1.5 times bigger than the original distance. This leads to the following picture