Geometry

Question Analysis  

The main focus is to analyze the effect of a negative scale factor on a polygon, determining if it results in enlargement/reduction and reflection/rotation.  

Key Concept Explanation  

Magnitude of : |k| = 3.111 > 1, so the polygon is enlarged (size increases).  

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

Step-by-Step Solution  

1. Note that (greater than 1) → enlargement occurs.  

2. The negative sign in → reflection across the origin (geometrically similar to a rotation).  

Option Analysis  

A: "Reduced and reflected."  

Incorrect. |k| > 1 indicates enlargement, not reduction.  

B: "Enlarged and rotated ."  

Correct. |k| > 1 enlarges the polygon, and the negative sign effectively rotates it (reflection across the origin).  

C: "Remains the same size and shape."  

Incorrect.

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