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Triangle Congruence and Inequalities 1
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Result
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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.