Geometry

Question Analysis  

The main focus is to determine the scale factor  for a dilation centered at the origin, using the original point  and its dilated image .  

 

Key Concept Explanation  

For a dilation centered at the origin, the scale factor  is calculated as  (where  is the original point and  is the dilated point).  

 

Step-by-Step Solution  

1. Calculate  using the -coordinates:  

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