structural:summarization, linguistic:paraphrasing, stylistic:style_transfer
In plane geometry

In R 2 {\displaystyle \mathbb {R} ^{2}}, the transformation shown at left is accomplished using the map given by:

Transforming the three corner points of the original triangle (in red) gives three new points which form the new triangle (in blue). This transformation skews and translates the original triangle.

In fact, all triangles are related to one another by affine transformations. This is also true for all parallelograms, but not for all quadrilaterals.