Geometry

Question Analysis  

The main focus is to determine how dilation affects the angle of intersection between two non-parallel lines, based on the property that dilations preserve angle measures.  

Key Concept Explanation  

Dilation Property: Dilations are similarity transformations that preserve angle measures. The angle formed by the intersection of two lines remains unchanged after dilation, as the transformation only scales distances, not the geometric relationship between lines.  

Step-by-Step Solution  

1. Recall the core property of dilations: Angles between lines (including the angle of intersection) are invariant under dilation.  

2. Apply to non-parallel lines: If two non-parallel lines intersect at an angle  before dilation, the corresponding lines after dilation will intersect at the same angle