Geometry

Question Analysis

The main focus is to use the property of dilation that angles are preserved during the transformation to find the measure of the corresponding angle in the dilated figure.

 

Key Concept Explanation

Dilation: A transformation that changes the size of a figure by multiplying the distance of each point from a fixed center point (the center of dilation) by a scale factor . One of the key properties of dilation is that it preserves the measure of angles. This means that the shape of the figure remains the same, only the size changes.

 

Step - by - Step Solution

1. Recall the property of dilation:

Since dilation preserves angle measure, regardless of the scale factor , the measure of the angle in the dilated figure will be the same as the measure of the angle in the original figure.

2. Identify the angle measure:

Given that the angle in the original figure is

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