Course Content
Geometry

Dilation Preserved Properties

Explanation

Dilation is a transformation that changes the size but keeps the same shape (creates similar figures).

Properties preserved under dilation:

  1. Angle measures remain the same.

  2. Shape similarity is preserved.

  3. Proportional lengths: sides are scaled by the scale factor.

Properties not preserved under dilation:

  • Absolute distances (sides grow or shrink)

  • Orientation (only preserved if center of dilation is fixed)

Example: Dilating a triangle by scale factor 2 → all angles same, all sides double.

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