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An affine transformation is a linear transformation between vector spaces, followed by a translation.

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10y ago

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What is the shape called where all the points all slide the same distance and direction?

The shape you're describing is called an "affine transformation." In geometric terms, when all points of a shape slide the same distance and direction, it is typically referred to as a "translation." This transformation preserves the shape and size of the object, maintaining its geometric properties while shifting its position in space.