Geometry

Question Analysis  

This question involves dilation, focusing on determining the scale factor  from the original and dilated segment lengths, then applying  to find the image of point .  

Key Concept Explanation:  

The scale factor  is the ratio of the dilated length to the original length:  

.  

For origin-centered dilation, a point  transforms to .  

Step-by-Step Solution:  

1. Calculate the scale factor :  

.  

2. Apply  to point :  

,