Chapter 4

Chapter 4

1. 4.1

   • Triangle Sum Theorem
     • all of the angles in a triangle add up to 180 degrees

2. 4.2

   • Properties of an isosceles triangle
     • Converse: if a triangle has two congruent angles, then it is an isosceles triangle
       • all angles in an equilateral triangle are 60 degrees

3. 4.3

   • Exterior angle theorem
     • If you add two angles in the triangle opposite from the exterior, then the sum should add up to the exterior
   • Two shorter sides sum should be greater than longest side

4. 4.4 and 4.5

   • Triangle Congruence Shortcuts
     • WORK
       • SSS: if 3 sides are congruent to 3 sides
       • SAS: if two sides and the included angle are congruent to two sides and the included angle
       • ASA: If two angles and the included side are congruent to two angles and the congruent side
       • SAA: If two angles and a non included side are congruent to two angles and a non included side
     • DO NOT WORK
       • SSA
       • AAA

5. 4.6

   • Corresponding parts of congruent triangles are congruent

6. 4.7

   • Flowchart proofs