Is dilation a rigid transformation?
Understand the Problem
The question is asking whether dilation is considered a rigid transformation in geometry. Rigid transformations are those that preserve distances and angles, and we need to determine if dilation maintains these properties.
Answer
No, it is not.
The final answer is no, dilation is not a rigid transformation.
Answer for screen readers
The final answer is no, dilation is not a rigid transformation.
More Information
Dilation changes the size of a shape while preserving its proportions, making it a non-rigid transformation. It does not maintain the original size, unlike rigid transformations which preserve both size and shape.
Tips
A common mistake is to confuse preserving shape with preserving size. Dilation only preserves shape.
Sources
- Dilations - MathBitsNotebook(Geo) - mathbitsnotebook.com
- Properties of Dilations | CK-12 Foundation - flexbooks.ck12.org
- Rigid Transformation | Definition, Rules & Examples - Lesson - study.com
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