📐 Geometry Mastery Guide
📚 Quick Navigation
📖 Reference Materials
- Scope Map - AMC 10 vs AMC 12 topic coverage
- Notation Cheatsheet - Symbols and conventions
- Concept Atlas - One-paragraph primers
- Complete Knowledge Points - Comprehensive geometry reference guide
🧭 Topic Guides
- Triangles Basics - Congruence, similarity, special triangles
- Triangle Centers - Centroid, incenter, circumcenter, orthocenter
- Angle Chasing - Parallel lines, inscribed angles, exterior angles
- Similarity & Ratios - Dilations, angle bisector theorem
- Circles & Power of a Point - Chords, tangents, secants
- Cyclic Quadrilaterals - Opposite angles, Ptolemy’s theorem
- Special Segments - Medians, altitudes, angle bisectors
- Length & Area Classics - Heron, Brahmagupta, Stewart, Apollonius
- Transformations - Reflections, rotations, homothety
- Coordinate Geometry - Lines, circles, shoelace formula
- Geometric Probability - Lengths, areas, ratios
- 3D Geometry Light - Projections, volumes, cross-sections
- Mass Points & Ceva/Menelaus - Concurrency, collinearity
- Tangency Configurations - Incircles, excircles, tangent chains
- Polygons & Tilings - Interior angles, regular polygons
- Inversion & Spiral Similarity - Advanced transformations
🧩 Problem Types
- Angle Chase Cycles - Recognition and solution patterns
- Similar Triangle Stacks - Parallel lines, homothety
- Tangent-Secant-Chord - Power of a point applications
- Cyclic Quad Setups - Equal subtended angles, Ptolemy
- Area Ratio in Triangle - Cevian splits, barycentric ratios
- Coordinate Kill - Translation, rotation, shoelace tricks
- Extremal Geometry Paths - Reflection method, minimum paths
- Circle Packing Touching - Tangent chains, equal radii
- Mass Points Templates - Standard lever setups
- 3D Projections & Sections - Cross-sections, projections
- Geometric Probability Patterns - Random points, regions
📏 Essential Resources
- Essential Formulas - Compact formula bank with examples
- Problem-Solving Tips - Heuristics, checklists, timing strategies
📐 Practice Problems
- Practice Hub — Comprehensive AMC-style practice with mixed sets, topic drills, and mock exams
💡 Pro Tips
- Mark equalities on diagrams immediately
- Look for parallel lines - they create similar triangles
- Check for cyclicity - equal subtended angles often appear
- Use coordinate geometry when pure geometry gets messy
- Estimate first - eliminate obviously wrong answers
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