Explore spatial relationships, proofs, and constructions through interactive 3D models, theorem validation, and visual deduction exercises.
Explore angle theorems, Pythagorean proofs, and interactive triangle inequality validations.
Start With Triangles →Investigate radius relationships, arc theorems, and polygon angle calculations with dynamic visualizations.
Explore →Master translations, rotations, and symmetry groups with interactive shape manipulators.
Begin Transformations →3D shape analysis with surface area calculations, volume measurements, and polyhedrons.
Discover 3D Shapes →Build and validate geometric proofs using interactive theorem construction tools with logical validation checks.
Try Proof Builder →Get instant feedback on proof validity with step-by-step logical review and error detection.
Practice Problems →Manipulate angles and observe real-time changes in triangle properties and trigonometric relationships.
Visualize radius/chord relationships and experiment with inscribed angle theorems interactively.
Create and analyze polyhedrons with real-time surface area and volume calculations.
Learn through interactive constructions that connect geometric principles to real-world shapes.
Build logical arguments step-by-step with AI-guided validation and alternative approaches.
Personalized challenge paths that scale difficulty based on your proof construction accuracy.
40+ interactive lessons, 1,200+ geometry problems, and real-time feedback from expert systems. Build spatial reasoning skills through interactive construction tools.
Start Triangles Lesson