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Investigation 1: Properties of Kites Part 1

Investigation 1: Properties of Kites Part 1
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2015-11-07 03:41
PolygonAngleGeometric Construction
This example guides students to explore the angle properties of kites and discover that the non-vertex angles are congruent. Key mathematical concepts include angle properties. GeoGebra commands used include segment, point, angle, rotate, ray, and intersect. Suitable for junior high school geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(Circle[B, a]) → C
  3. Segment(B, C) → b
  4. Angle(B, A, D_1) → α
  5. Rotate(B, α, C) → A'
  6. Ray(A, D_1) → c
  7. Ray(C, A') → d
  8. Intersect(c, d) → D
  9. Segment(A, D) → e
  10. Segment(C, D) → f
  11. Angle(B, C, D) → β
  12. Angle(C, D, A) → γ
  13. Angle(A, B, C) → δ