Geometry

Question Analysis  

This question involves dilation, focusing on determining the scale factor  when the original point (8, 16) is dilated to (12, 24) with the origin as the center.  

 

Key Concept Explanation:  

For origin-centered dilation, the scale factor  is found by dividing the image coordinates by the original coordinates:  

.  

 

Step-by-Step Solution:  

1. Calculate  using the -coordinates:  

.  

2. Verify with the

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