Geometry

Question Analysis  

The main focus is to determine how dilations affect the congruence of angles, leveraging the property that dilations preserve angle measures.  

Key Concept Explanation  

Dilation: A transformation that scales the size of a figure but preserves angle measures. Congruent angles (equal in measure) remain unchanged in a dilation.  

Step-by-Step Solution  

1. Recall the core property of dilations: Angles are not altered by dilation—their measures stay the same.  

2. Apply to congruent angles: If two angles are congruent (e.g., both ) before dilation, they remain  after dilation, hence congruent.  

Option Analysis  

Complementary: Incorrect. Dilation does not change angle relationships (e.g., summing to

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