Geometry

Chapter 6 Relationships Within Triangles
Unit 6-1 Unit 6-2 Unit 6-3 Unit 6-4 Unit 6-5 Unit 6-6
Unit 6-1 Perpendicular & Angle Bisectors Outline
  1. Median of a Triangle
    • Each Triangle has Three Medians
    • The Three Medians Intersect at the Centroid
    • How the Centroid Divides the Three Medians
  2. Altitude of a Triangle
    • Each Triangle has three altitudes
    • The altitudes intersect at the Orthocenter
  3. Assignment 6-1: Pg. 398 #2-20 even, 21-31, 34-36
Unit 6-2 Bisectors of Triangles Outline
  1. Perpendicular Bisectors
    • Perpendicular Bisectors Intersect at the Circumcenter
    • The Circumcenter is Equidistant from each Vertex of the Triangle
  2. Angle Bisectors
    • Angle Bisectors Intersect at the Incenter
    • The Incenter is Equidistant from each Side of the Triangle
  3. Assignment 6-2: Pg. 315, #3-6, 8, 10, 12-15, 27, 28 (Geogebra use suggested)
Unit 6-3 Medians & Altitudes of Triangles Outline
  1. Median of a Triangle
    • Each Triangle has Three Medians
    • The Three Medians Intersect at the Centroid
    • How the Centroid Divides the Three Medians
  2. Altitude of a Triangle
    • Each Triangle has three altitudes
    • The altitudes intersect at the Orthocenter
  3. Assignment 6-3: Pg. 324 #3-18
Unit 6-4 The Triangle Midsegment Theorem Outline
  1. A Midsegment Bisects Two Sides of a Triangle
    • Each Triangle has Three Midsegments
    • A Midsegment is Parallel to the Opposite Side of the Triangle (the side it does not intersect)
  2. Assignment 6-4: Pg. 333 #7-19, 21, 25
Unit 6-5 Indirect Proof and Inequalities in One Triangle Outline
  1. Special
  3. Assignment 6-5:
Unit 6-6 Inequalities in Two Triangles Outline
  2. Assignment 6-6: