1) The affine transformation mapped the square to a parallelogram.

2) The affine scaling preserved the relative distances between the points.

3) The affine combination of vectors resulted in a new vector in the same plane.

4) Affine geometry studies properties preserved under affine transformations.

5) She studied the properties of affine spaces in her advanced math class.

6) The affine function shifted the graph horizontally by a fixed amount.

7) The matrix represented an affine transformation in three-dimensional space.

8) The affine equation described a straight line passing through two points.

9) The affine group consists of invertible affine transformations.

10) The artist used an affine mapping to create a distorted perspective in the painting.