Kite Template with Investigation Questions

Kite Template with Investigation Questions
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2016-12-20 22:25
This example demonstrates a modifiable quadrilateral that always remains a kite, serving as a basic template for students to explore and discover geometric properties of kites. It involves core concepts like kites, geometric transformations, angles, and symmetry. Construction uses commands such as Rotate, Angle, Ray, Mirror, Point, Circle, Segment, Polygon, Intersect, and CircleSector. Suitable for middle school and above for understanding and investigating kite geometry.

GeoGebra Commands & Parameters

  1. Rotate(B_1, α, A) → B'
  2. Angle(B_1, A, B') → β
  3. Ray(A, B') → f
  4. Ray(A, B_1) → g
  5. Mirror(A, g) → A'
  6. Mirror(B', g) → B''
  7. Ray(A', B'') → f'
  8. Point(g) → C
  9. Point(f) → B
  10. Circle(B, C) → c
  11. Segment(B, C) → h
  12. Mirror(B, g) → D
  13. Segment(C, D) → i
  14. Segment(A, C) → j
  15. Polygon(A, D, C, B) → poly1, a, d', c_1, d
  16. Segment(A, B) → k
  17. Segment(A, D) → l
  18. Circle(A, (0.2 * k)) → e
  19. Intersect(e, k, 1) → E
  20. Intersect(e, l, 1) → F
  21. CircleSector(A, F, E) → p