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Properties of a Kite (DHSY1)

Properties of a Kite (DHSY1)
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2015-05-27 12:51
PolygonAngleTransformationGeometric Construction
This example demonstrates the fundamental properties of a kite, including the perpendicular bisector relationship of its diagonals and angle relationships. Key math concepts involved are diagonals, angle bisectors, intersecting lines, and angle measurement. The construction utilizes GeoGebra commands/objects like Circle, Point, Segment, LineBisector, Intersect, and Angle. Suitable for middle school and above students to learn polygon properties and geometric constructions.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c_1
  2. Circle(B, A) → d_1
  3. Point(d_1) → C
  4. Circle(C, B) → e_1
  5. Segment(B, C) → BC
  6. Segment(A, B) → AB
  7. Segment(A, C) → AC
  8. LineBisector(A, C) → a
  9. Point(a) → D
  10. Segment(D, A) → AD
  11. Segment(D, C) → CD
  12. Segment(D, B) → BD
  13. Intersect(AC, BD) → E
  14. Segment(A, E) → AE
  15. Segment(E, C) → CE
  16. Segment(E, B) → BE
  17. Segment(E, D) → DE
  18. Angle(A, E, D) → AED
  19. Angle(D, A, B) → BAD
  20. Angle(D, C, B) → BCD
  21. Angle(A, B, C) → ABC
  22. Angle(A, D, C) → ADC