Geometry

Question Analysis

The main focus is to use dilation properties to assess the truthfulness of statements about and its dilated image , specifically regarding angle measures, side parallelism, point collinearity, and the nature of dilation.

Key Concept Explanation

Angle Preservation: Dilations keep angle measures the same. Corresponding angles in the pre - image and image are congruent.

Side Parallelism: Corresponding sides of dilated figures are parallel.

Collinearity: Points on a line in the pre - image and their corresponding points in the image maintain collinearity.

Dilation Type: If the dilated figure is smaller than the original, it's a reduction; if larger, an enlargement.

Step - by - Step Solution

1. Analyze :

Since dilations preserve angle measures and , then , not . So this statement is false.

2. Analyze is parallel to

Click "Show Answer" to reveal the answer and analysis