Geometry

Question Analysis

The main focus is to find the center of dilation by using the fact that the lines connecting corresponding points of the pre - image and the dilated image intersect at the center of dilation.

Key Concept Explanation

In a dilation, the center of dilation is the fixed point around which the figure is expanded or contracted. Lines drawn through corresponding points of the pre - image and its dilated version will intersect at this central point.

Step - by - Step Solution

1. Draw a straight line through points and .

2. Draw another straight line through points and .

3. The point where these two lines cross is the center of dilation. By observing the graph or precise plotting, we find that the center of dilation is the point