What Is 2D Scaling and Reflection?
Two‑dimensional scaling and reflection are linear transformations that reshape coordinates without necessarily altering their relationships. Scaling multiplies x and y components by chosen factors, stretching or shrinking shapes nonuniformly or uniformly. Reflection flips points across a reference such as the x axis the y axis the origin a diagonal or any line. Together these operations are represented by matrices that can be composed in different orders to produce powerful effects. The determinant of the combined matrix reports area change and whether orientation is reversed. This calculator parses point lists, constructs the transformation matrix for your selected options, applies any required translation for off origin lines, and returns transformed coordinates with visual feedback. It also highlights determinant sign and order sensitivity.
Visualization
Results
Enter points and parameters, then compute to see matrices, determinant, and transformed coordinates.