Geometry

Question Analysis  

The main focus is to determine the effect of a scale factor on a polygon dilated centered at the origin, specifically analyzing how the magnitude and sign of affect the polygon's size, shape, and orientation.  

Key Concept Explanation  

Dilation with :  

The magnitude means the polygon’s size remains unchanged (no enlargement or reduction).  

The negative sign reflects the polygon across the origin (equivalent to a rotation about the origin).  

Step-by-Step Solution  

1. Recall that dilation by uses the formula .  

2. This transformation flips all coordinates across the origin, which is geometrically identical to a rotation.  

3. Since , the polygon’s dimensions and shape are preserved.  

Option Analysis  

A: "Enlarged and reflected."  

Incorrect. does not enlarge/reduce the polygon.  

B: "Reduced and rotated ."  

Incorrect.

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