Geometry

Question Analysis  

The main focus is to apply the angle-preserving property of dilations to determine the measure of a corresponding angle in a dilated figure.  

 

Key Concept Explanation  

Dilation Property: Dilations preserve the measure of angles. This means the shape of the figure remains unchanged (similarity is maintained), even as the size scales by factor .  

 

Step-by-Step Solution  

1. Recall the property of dilations: Angles are unchanged by dilation.  

2. Apply the property: Since the original angle is , the corresponding angle in the dilated figure is also , regardless of the scale factor

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