Prove Rhombus Diagonals Bisect Angles

What do congruent triangles have to do with diagonals of a rhombus? Given a rhombus, pupils develop a proof showing that a diagonal bisects opposite angles. The learners use what they know about congruent triangles to create the geometric proof.

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CCSS: Designed
Instructional Ideas

  • Have groups develop proofs of other relationships involving the diagonals of a rhombus
  • Challenge individuals to prove the converse
Classroom Considerations

  • The class should know how to prove two triangles are congruent
Pros

  • Contains examples of work that illustrates misconceptions
  • Provides suggested instructional strategies for struggling students
Cons

  • None
Common Core