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What Kind of Quadrilateral is This? (Part 3)

What Kind of Quadrilateral is This? (Part 3)
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2017-02-07 21:54
PolygonAngleTrigonometryGeometric Construction
This example features active, student-centered, discovery-based learning activities where students explore conditions that make a quadrilateral a parallelogram. It demonstrates geometric exploration and concept discovery, involving concepts like angles, parallelograms, quadrilaterals, area, piecewise functions, and trigonometric functions. Constructed using GeoGebra commands: Segment, Line, Intersect, Distance, Polygon, Angle. Suitable for high school mathematics students for geometric exploration and concept understanding.

GeoGebra Commands & Parameters

  1. Segment(B, C) → a
  2. Segment(C, D) → b
  3. Line(D, a) → c
  4. Line(B, b) → d
  5. Intersect(c, d) → A
  6. Segment(B, A) → e
  7. Segment(A, D) → f
  8. Distance(B, C) → distanceAB
  9. Distance(C, D) → distanceBC
  10. Distance(D, A) → distanceCD
  11. Distance(A, B) → distanceDA
  12. Polygon(A, D, C, B) → poly1, d_1, c_1, b_1, a_1
  13. Angle(poly1) → α, β, γ, δ