Introductory Geometry
This course develops diagram fluency, angle chasing, triangle geometry, similarity, circles, area methods, coordinate geometry, and transformations. Students learn to treat diagrams as sources of structure rather than decoration.
Track
Introductory Courses
Level
Introductory
Duration
To be updated
Course Overview
This course develops diagram fluency, angle chasing, triangle geometry, similarity, circles, area methods, coordinate geometry, and transformations. Students learn to treat diagrams as sources of structure rather than decoration.
Who This Course Is For
This course is for students who know basic school geometry and are ready to build stronger contest habits with diagrams, auxiliary lines, ratios, and geometric relationships.
Topics Covered
- Angles
- Parallel lines
- Triangles
- Congruence
- Similarity
- Pythagoras
- Area
- Ratios
- Angle chasing
- Basic coordinate geometry
- Circles
- Cyclic quadrilaterals
- Tangents
- Tangent-chord theorem
- Power of a point
- Similar triangles in circles
- Area geometry
- Coordinate geometry
- Transformations
Learning Outcome
Students become more confident reading diagrams, creating useful auxiliary structure, and connecting angle, length, area, similarity, and circle facts in contest problems.