Transformations

Generate geometric transformation questions for GCSE practice by retrieving randomized reflection, translation, rotation, and enlargement problems with canonical numeric answers via a GET API endpoint. The system outputs ready-to-use problems covering 2D point transformations at specified difficulty tiers.

Validate student answers for 2D point transformations by sending computed image coordinates to a POST API endpoint. The validation mechanism checks submitted coordinates against canonical numeric answers and returns immediate correctness feedback for GCSE-level exercises.

Supported 2D geometric transformations for calculating image coordinates include reflections, translations, rotations at 90, 180, and 270 degrees, and enlargements. The system computes exact resulting image coordinates for each transformation type.

This question generation tool supports adaptive difficulty for geometry quizzes through four tiers: easy, medium, hard, and extrahard. Adaptive scoring maps student performance to appropriate difficulty levels for tailored GCSE-level practice.

Compute image coordinates when rotating a point 90 degrees anticlockwise by applying the geometric rotation formula to the original 2D coordinates. The system calculates and returns the exact transformed coordinates for integration into interactive exercises.