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Kite with Diagonals by Allie Fryer

Kite with Diagonals by Allie Fryer
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2017-04-21 22:16
PolygonAngleGeometric Construction
This example demonstrates the properties of a kite and its diagonals. Key mathematical concepts include the definition of a kite, properties of diagonals, and geometric construction. Using GeoGebra commands such as Segment, Mirror, Polygon, Intersect, and Angle, a kite can be constructed and its diagonal intersection and angles explored. Suitable for middle school and above students to learn geometric construction and explore kite properties.

GeoGebra Commands & Parameters

  1. Segment(I, E) → BH
  2. Mirror(T, BH) → K
  3. Segment(T, K) → RM
  4. Polygon(I, K, E, T) → poly1, a_1, c', b_1, c
  5. Intersect(RM, BH) → O
  6. Segment(I, O) → a
  7. Segment(K, O) → b
  8. Segment(O, T) → d
  9. Segment(O, E) → e
  10. Angle(K, O, I) → α