Mathematics Department
Geometry
Congruent Triangles

Enduring Understanding:

  • Congruent triangles create geometric designs used in architecture and physical sciences.
  • Proofs of congruent triangles promote the development of logical thinking to reach a desired
    conclusion.

Essential Questions:

  • What are congruent figures?
  • How can triangles be proved congruent?
  • How do you extend the use of congruent triangles?
  • How can triangles be classified?
  • What properties can be identified for special triangles?

Target Goals:

  • To be able to prove triangles congruent.
  • To be able to use congruent triangles to
    form other conclusions.
  • To be able to apply properties of special
    triangles.

Assessment:

  • Test
  • Quizzes
  • Practice problems

Activities:

  • Complete problems involving proofs.
  • Complete problems involving algebraic applications of congruent triangles and properties of
    special triangles.
  • Form conclusions based on given information.

State Goals:

  • 9.B.4 Recognize and apply relationships within and among geometric figures.
  • 9.C.4c Develop and communicate mathematical proofs.

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Last updated: January 25, 2008