Transformations - dilation
Khan Academy・2 minutes read
Various types of transformations were reviewed, such as rigid transformations (translations, rotations, reflections) and non-rigid transformations (dilation), affecting shapes differently by either maintaining or altering the distances between points.
Insights
- Rigid transformations, such as translations, rotations, and reflections, maintain the shape and size of an object, while non-rigid transformations like dilation alter the size of the shape without preserving the lengths between points.
- Understanding the distinction between rigid and non-rigid transformations is crucial in geometry as it impacts how shapes are manipulated and visualized, providing a fundamental framework for geometric transformations.
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Recent questions
What are rigid transformations?
Rigid transformations include translations, rotations, and reflections that do not change the size or shape of an object, only its position or orientation in space.
What is a non-rigid transformation?
A non-rigid transformation, such as dilation, involves scaling a shape up or down without maintaining the lengths between points, altering the size of the object.
How does a translation transformation work?
A translation transformation moves an object from one position to another in a straight line without changing its orientation or size, simply shifting its location.
What is a rotation transformation?
A rotation transformation involves turning an object around a fixed point, changing its orientation by a certain angle while keeping its size and shape intact.
What is a reflection transformation?
A reflection transformation flips an object over a line, creating a mirror image of the original shape while preserving its size and orientation.
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Summary
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Types of Transformations: Rigid and Non-Rigid
- Different types of transformations were discussed, including rigid transformations like translations, rotations, and reflections, as well as non-rigid transformations like dilation, which involves scaling a shape up or down without preserving lengths between points.
