1. A triangle on a coordinate plane has three vertices A (2 , 3), B (5, 4), and C (3, 6). Use this description to do the following transformations (if needed, draw this triangle on a sheet of paper): a. Dilation 1: What would be the new coordinates if this triangle were dilated to a scale factor of 2 with the center of the dilation at the origin? How did you determine these points? b. Dilation 2: What would be the new coordinates if this triangle were dilated to a scale factor of 2 with the center of the dilation at the point P (6, 8)? How did you determine these points? c. What series of transformations would carry dilation 1 onto dilation 2? Compare Dilation 1 to Dilation 2. Explain what conclusions you can draw about the scale factor, the difference in the area, and the center of dilation. d. What is the proportion of the side lengths from Dilation 1 to Dilation 2? What is the proportion of their angle measures? Explain your answer.