Geometry

Chapter 5 Congruent 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 Angles of Triangles Outline
  1. Identifying Triangles by Sides and Angles
  2. Identifying Right Triangles by Their Side Lengths
  3. Solving for Missing Sides & Angles
  4. Assignment 5-1: Pg. 236 #4-26 Even
Unit 5-2 Congruent Polygons Outline
  1. Third Angle Theorem
  2. Revisiting the Exterior Angles Theorem
  3. Corresponding Parts of Congruent Polygons
  4. Assignment 5-2: Pg. 243 #4-10, 13, 14, 23, 24
Unit 5-3 Proving Triangle Congruence by SAS Outline
  2. Assignment 5-3: Pg 249 #4-14, 19, 20, 29
Unit 5-4 Equilateral & Isosceles Triangles Outline
  1. Midsegment Properties
    • Bisects two sides of the triangle
    • Creates a triangle half the area but with congruent angles
  2. Assignment 5-4: Pg 256 #3-16, 21-24, 34, 35
Unit 5-5 Proving Triangle Congruence by SSS Outline
  1. Inequalities in a Triangle
    • The sum of any two sides must exceed the length of the third
  2. Assignment 5-5: Part A Pg. 266 #4, 8, 10, 18, 24a), 26, 28 Part B Pg. 266 #5, 6, 23a) , 31
Unit 5-6 Proving Triangle Congruence by ASA and AAS Outline
  1. Hinge Theorem
    • SAS without the angle
    • The larger the angle, the longer the opposite side
  2. Assignment 5-6: Pg 274 #3-12, 33 a)
Unit 5-7 Using Congruent Triangles Outline
  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. 281 #3-12, 16, 17
Unit 5-8 Coordinate Proofs Outline
  1. Special Angle Triangles
    • 30-36-90 Triangle
    • 45-45-90 Triangle
  2. Assignment 5-8: Pg. 372 #1-21, 30-32, 34