Geometry

Chapter 5 Properties and Attributes of Triangles
Unit 5-1 Unit 5-2 Unit 5-3 Unit 5-4 Unit 5-5 Unit 5-6 Unit 5-7 Unit 5-8
Unit 5-1 Perpendicular and Angle Bisectors Agenda
  1. Perpendicular Bisector Theorem and Its Converse
  2. Angle Bisector Theorem and Its Converse
  3. Assignment 5-1: Pg. 316 #12-17, 22, 34-36
Unit 5-2 Bisectors of Triangles Agenda
  1. Characteristics of Triangle Bisectors
    • Circumcenter Theorem
    • Incenter Theorem
  2. Assignment 5-2: Pg 323 12–15, 18, 19, 22–32
Unit 5-3 Medians & Altitudes of Triangles Agenda
  1. Median
    • Centroid
    • Altitude
    • Orthocenter
  2. Assignment 5-3: Pg 330 #21-26, 29-37, 41, 43
Unit 5-4 Triangle Midsegment Theorem Agenda
  1. Midsegment Properties
    • Bisects two sides of the triangle
    • Creates a triangle half the area but with congruent angles
  2. Assignment 5-4: Pg 336 #11-16, 18-20, 39-41, 44, 45
Unit 5-5 Indirect Proof & Inequalities in One Triangle Agenda
  1. Inequalities in a Triangle
    • The sum of any two sides must exceed the length of the third
  2. Assignment 5-5: Pg 348 #18, 19, 20-24 even, 34, 35
Unit 5-6 Hinge Theorem Agenda
  1. Hinge Theorem
    • SAS without the angle
    • The larger the angle, the longer the opposite side
  2. Assignment 5-6: Pg. 355 #1-25 Skip#16
Unit 5-7 Pythagorean Theorem Agenda
  1. Pythagorean Theorem
    • Solving for Missing Lengths in a Right Triangle
    • Converse of the Pythagorean Theorem
    • Pythagorean Inequalities
  2. Pythagorean Triples
    • 3-4-5 Right Triangle
    • Finding Other Triples
  3. Assignment 5-7: Pg. 364 #15-24, 30, 34
Unit 5-8 Special Right Triangles Agenda
  1. Special Angle Triangles
    • 30-36-90 Triangle
    • 45-45-90 Triangle
  2. Assignment 5-8: Pg. 372 #1-21, 30-32, 34