Given a dilation with scale factor , an angle in the origina...

Question Analysis

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

Key Concept Explanation

Dilation Property: Dilations preserve angle measures. The scale factor affects only the lengths of sides, not the shape or angles of the figure.

Step-by-Step Solution

1. Recall the key property: Dilations do not change the measure of angles.

2. Apply the property: Given the original angle is , the corresponding angle in the dilated figure remains , regardless of the scale factor $<...$

Geometry