Geometry

Question Analysis  

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

 

Key Concept Explanation  

Dilation formula centered at the origin: For a point dilated by scale factor , the image is . A negative reflects the point across the origin.  

 

Step-by-Step Solution  

1. Use the dilation formula to set up equations for the - and -coordinates:  

For the -coordinate:  

For the -coordinate:

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