Objectives
- Prove congruence of triangles and their corresponding parts inductively and deductively;
- State and illustrate Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA) congruence postulates, and Side-Angle-Angle (SAA) Theorem;
- Use triangle congruence conditions to prove congruence of right, adjacent, and overlapping triangles;
- Apply SAS, SSS, ASA, and SAA congruence conditions to prove congruence in right, equilateral, and isosceles triangles;
- Prove inequalities of segments and angles in a triangle; and
- Prove inequalities between two triangles.