Geometry

Question Analysis

The main focus is to apply the property of dilation that preserves angle measure to find the measure of the corresponding angle in the dilated figure.

 

Key Concept Explanation

Dilation: A transformation that modifies the size of a figure by a scale factor  relative to a center of dilation. A fundamental property of dilation is that it leaves angle measures unchanged. This ensures that the shape of the figure is maintained, while only the dimensions are altered.

 

Step - by - Step Solution

1. Recall the property of dilation:

Regardless of the scale factor , dilation does not affect the measure of angles.

2. Determine the angle measure:

Given that the angle in the original figure is

Click "Show Answer" to reveal the answer and analysis