Kite Exploration by jebowman

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2016-01-30 05:06

This example demonstrates the properties of a kite, involving similarity transformations, Pythagoras' theorem, and fractal geometry. Using GeoGebra commands such as Line, Point, Mirror, Segment, etc., you can dynamically explore the diagonal intersection, distances, and angles of a kite. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

Line(VertAxis1, VertAxis2) → VerticalAxis
Line(HorizAxis1, HorizAxis2) → HorizontalAxis
Point(HorizontalAxis) → A
Point(HorizontalAxis) → C
Point(VerticalAxis) → B
Mirror(B, HorizontalAxis) → B'
Segment(B, A) → a
Segment(B, C) → b
Segment(A, B') → c
Segment(C, B') → d
Intersect(VerticalAxis, HorizontalAxis) → Diagonal_Intersection
Distance(B, Diagonal_Intersection) → distanceBDiagonalIntersection
Distance(B', Diagonal_Intersection) → distanceB'DiagonalIntersection
Distance(A, Diagonal_Intersection) → distanceADiagonalIntersection
Distance(C, Diagonal_Intersection) → distanceCDiagonalIntersection
Segment(B, Diagonal_Intersection) → e
Segment(B', Diagonal_Intersection) → f
Segment(A, Diagonal_Intersection) → g
Segment(C, Diagonal_Intersection) → h
Angle(A, B, C) → α
Angle(C, B', A) → β
Angle(B', A, B) → γ
Angle(B, C, B') → δ
Angle(C, Diagonal_Intersection, B) → DiagonalsAngle