Geometry

Question Analysis

The main focus is to understand the properties of dilation and determine which characteristic (congruence, similarity, both, or none) is preserved under dilation.

Key Concept Explanation

Congruence: Two figures are congruent if they have the same shape and size. This means all corresponding sides and angles are equal.

Similarity: Two figures are similar if they have the same shape. Corresponding angles are equal, and corresponding sides are in proportion.

Dilation: A dilation is a transformation that changes the size of a figure but not its shape. It multiplies the distance of each point from a fixed center point (the center of dilation) by a scale factor.

Step - by - Step Solution

1. Analyze congruence:

During dilation, the size of the figure changes based on the scale factor. For example, if the scale factor

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