Geometry

Question Analysis  

The main focus is to apply a negative scale factor to each vertex of triangle centered at the origin, reflecting the triangle across the origin and tripling its size relative to the origin.  

Key Concept Explanation  

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

Step-by-Step Solution  

1. Apply the formula to each vertex:  

For :  

,  

New vertex:  

For :  

,

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