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Are dilations considered rigid motions?

No, dilations are not considered rigid motions because they involve stretching or shrinking an object, which changes its size. Rigid motions must keep the exact same size and shape.

Conditions

  • The transformation involves changing the size of the object.

Reasoning, step by step

  1. Define rigid motions as transformations that preserve size and shape.
  2. Note that dilations change the size of the object.
  3. Conclude that dilations are not rigid motions.

Example

The video explicitly states that dilations, which involve stretching or shrinking, are not rigid motions.

Common misconceptions

  • Assuming that any transformation that preserves shape is a rigid motion, ignoring the size preservation requirement.

Watch the explanation

0:20 – 0:28Watch this moment ↗

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Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.