Sprint 33 · Chapter 7

Complex Tangent Systems

Student can combine perpendicularity (Theorem 10.1) and equal lengths (Theorem 10.2) to solve complex multi-step geometric proofs and calculation problems.

1. 1Combining the Theorems
2. 2The Isosceles Triangle Trick
3. 3Example 1: Concentric Circles
4. 4Concentric Circles Diagram
5. 5Example 2: Angle Relationships
6. 6External Tangent Angles Diagram
7. 7Example 3: Finding Tangent Length
8. 8Tangent and Chord Lengths Diagram
9. 9Reconstruct the Angle Proof
10. 10Practice: Concentric Circle Calculation