Geometry

Question Analysis  

The main focus is to determine the scale factor  for a dilation centered at , given the pre-image point  and its image .  

 

Key Concept Explanation  

For a dilation with center , the scale factor  is calculated using the ratio of the image's distance from the center to the pre-image's distance from the center:  

  

Both coordinates must yield the same  for a valid dilation.  

 

Step-by-Step Solution  

1. Calculate the horizontal distance ratio:  

Pre-image:   

Image:   

Scale factor:

Click "Show Answer" to reveal the answer and analysis