Geometry II
Continue on the road to geometry mastery with this proof-centric course.
Central Angles and Arcs
Thales's Theorem
Inscribed Angles
Puzzles with Inscribed Angles
Cyclic Quadrilaterals
Power of a Point I
Intersecting Secants
Power of a Point II
Tangents
Problem-Solving Challenges
Right Triangles
Thales + Pythagoras
Cevians
Pegboard Triangles
Three Different Centers
The Circumcenter
Euler's Line
Morley's Triangle
Course description
This course covers a wide range of theorems in classical Euclidean geometry. You'll start by deriving the Central Angle Theorem and Thales' Theorem, then move on to the Power of a Point Theorem, and conclude with an exploration of different types of triangle centers and their presence on the Euler Line. Our goal is to help you understand and explore the derivations of these theorems, and to give you many opportunities to practice and strengthen your skills applying them! Algebra is used throughout this course, but nothing beyond the level of Algebra I. This course is a great place to start (or continue) if you're already familiar with the content in Geometry I.
Topics covered
- Centroid
- Circumcenter
- Cyclic Quadrilateral Theorem
- Euler's Line
- Incenter
- Inscribed Angles
- Intersecting Chord Theorem
- Intersecting Secants Theorem
- Intersecting Tangent Theorem
- Orthocenter
- Power of a Point Theorem