An Isosceles Trapezoid Problem

Prove the diagonals are shorter than the perimeter. Given an isosceles trapezoid, pupils develop a proof relating the length of the diagonals to the perimeter. Individuals sketch a graph of the trapezoid to assist with their explanations.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Have groups discuss whether the condition holds for any quadrilateral
Classroom Considerations
  • The class should be familiar with writing proofs
  • Scholars should have experience with the properties of triangles
Pros
  • Contains sample work highlighting misconceptions
  • Provides instructional suggestions for individuals that struggle
Cons
  • None
Common Core