Mongol Potential
Geometry · Unit 5

Relationships in Triangles

Perpendicular bisectors and the circumcenter, angle bisectors and the incenter, medians and the centroid, altitudes and the orthocenter, the midsegment theorem, and inequalities inside one triangle.

Builds on

Triangle congruence from Unit 4 (SSS·SAS·ASA·AAS·HL and CPCTC power every proof here), plus midpoints, perpendiculars, and angle bisectors from Unit 1 and distance-to-a-line from Unit 3.

Lessons
  1. 01Perpendicular Bisectors & the Circumcenter
  2. 02Angle Bisectors & the Incenter
  3. 03Medians & the Centroid
  4. 04Altitudes & the Orthocenter
  5. 05The Midsegment Theorem
  6. 06Inequalities in One Triangle