Unit 5: Triangle Congruence

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Essential Questions: 
  • What are the minimum conditions necessary to determine whether triangles are congruent?
  • How can we use deductive reasoning to prove properties of equilateral and isosceles triangles?
  • What is an indirect proof?
  • If side lengths in triangles are unequal, how do the corresponding angles compare, and vice versa?
Content: 
  • Postulates and Theorems about Triangle Congruence
  • Corresponding Parts of Congruent Triangles
  • Isosceles and Equilateral Triangle Properties
  • Indirect Proof
  • Triangle Inequalities in one and two triangles
Skills and Processes: 
  • Write deductive proofs to prove triangles congruent
  • Use congruent triangles to determine congruence of segments and angles
  • Write indirect proofs
  • Compare angles and sides in triangles that are not congruent