What is a translation in mathematics?

Moving all points in the same direction by the same amount.

How are rotations defined in mathematics?

Rotating points around a specific point while maintaining shape.

Mirror images of shapes across a line.

Transformations that maintain lengths and angles.

Non-rigid transformations involve scaling or distorting shapes.

Rigid transformations such as translations, rotations, and reflections preserve lengths and angles, ensuring that the shape remains unchanged throughout the transformation process.
Non-rigid transformations, unlike rigid ones, involve scaling or distorting shapes, altering their integrity and structure rather than maintaining their original form.

What is a translation in mathematics?
Moving all points in the same direction by the same amount.
How are rotations defined in mathematics?
Rotating points around a specific point while maintaining shape.
What do reflections create in mathematics?
Mirror images of shapes across a line.
What are rigid transformations in mathematics?
Transformations that maintain lengths and angles.
What distinguishes non-rigid transformations from rigid transformations in mathematics?
Non-rigid transformations involve scaling or distorting shapes.

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Transformation in mathematics involves changing mathematical elements like coordinates or points into different ones.
A translation is a transformation where all points are moved in the same direction by the same amount.
Rotations involve rotating points around a specific point, maintaining the shape but changing the orientation.
Reflections create mirror images of shapes across a line of symmetry.
Rigid transformations, like translations, rotations, and reflections, maintain lengths and angles.
Non-rigid transformations involve scaling or distorting shapes, unlike rigid transformations that maintain shape integrity.