Geometry

Question Analysis  

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

Key Concept Explanation  

Magnitude of : |k| = 4.15921 > 1, so the polygon is enlarged (size increases).  

Sign of : The negative sign reflects the polygon across the origin (equivalent to a rotation but defined as reflection in dilation terms).  

Step-by-Step Solution  

1. Recognize |k| > 1 → enlargement occurs.  

2. The negative sign in → reflection across the origin (coordinates change sign: ).  

Option Analysis  

A: "Enlarged and reflected."  

Correct. |k| > 1 enlarges the polygon, and the negative sign reflects it a...