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Properties of a Kite by Harshitaa Arunkumar

Properties of a Kite by Harshitaa Arunkumar
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2017-12-06 23:04
PolygonAngleGeometric Construction
This example demonstrates the properties of a kite. Key mathematical concepts include the diagonal properties and angle relationships of a kite. Using GeoGebra commands such as Segment, Point, and OrthogonalLine, one can construct a kite and observe its properties. Suitable for students at the middle school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Point(f) → C
  3. OrthogonalLine(C, f) → g
  4. Circle(C, D) → c
  5. Intersect(c, g, 1) → E
  6. Intersect(c, g, 2) → F
  7. Segment(A, F) → h
  8. Segment(F, B) → i
  9. Segment(B, E) → j
  10. Segment(E, A) → k
  11. Segment(F, E) → l
  12. Angle(B, C, F) → α
  13. Angle(F, C, A) → β
  14. Angle(E, C, B) → γ
  15. Angle(A, C, E) → δ
  16. PolyLine((9.25098912766764, 12.933848346176033), (NaN, NaN), (9.536612936274851, 12.486784993573442), (9.561449789197217, 12.449529714189893), (9.598705068580767, 12.43711128772871), (9.61112349504195, 12.39985600834516), true, (9.25098912766764, 12.933848346176033), (9.263407554128824, 12.846919360947751), (9.300662833512373, 12.809664081564202), (9.337918112895922, 12.75999037571947), (9.387591818740654, 12.710316669874738), (9.44968395104657, 12.63580611110764), (9.486939230430119, 12.56129555234054), (9.511776083352485, 12.524040272956992)) → stroke1
  17. PolyLine((9.313081259973556, 8.972370305058634), (NaN, NaN), (9.747726186114964, 9.419433657661223), (9.784981465498515, 9.44427051058359), (9.822236744882064, 9.481525789967138), (9.859492024265613, 9.518781069350688), (NaN, NaN), (13.013772345406121, 12.573713978801724), (NaN, NaN), (13.013772345406121, 12.573713978801724), (13.05102762478967, 12.673061390491188), (13.125538183556769, 12.79724565510302), (9.313081259973556, 8.972370305058634), (13.21246716878505, 12.933848346176033), (13.324233006935698, 13.095287890171413), (13.411161992163981, 13.20705372832206), (13.498090977392263, 13.318819566472708), (13.560183109698178, 13.418166978162173), (13.597438389081727, 13.455422257545722), true, (9.350336539357105, 9.03446243736455), (9.41242867166302, 9.096554569670465), (9.474520803968936, 9.146228275515197), (9.549031362736034, 9.233157260743479), (9.61112349504195, 9.282830966588211), (9.673215627347865, 9.332504672432943), (9.710470906731414, 9.369759951816492)) → stroke2
  18. PolyLine((13.162793462940318, 12.524040272956992), (NaN, NaN), (13.473254124469896, 12.871756213870118), (13.510509403853446, 12.909011493253667), (13.535346256775812, 12.946266772637216), (13.572601536159361, 12.995940478481948), (13.60985681554291, 13.033195757865498), (13.634693668465276, 13.070451037249047), (13.659530521387643, 13.107706316632596), (13.684367374310009, 13.144961596016145), (13.696785800771192, 13.182216875399694), (13.721622653693558, 13.219472154783244), (13.162793462940318, 12.524040272956992), (13.746459506615924, 13.256727434166793), (13.77129635953829, 13.293982713550342), (13.796133212460656, 13.331237992933891), true, (13.187630315862684, 12.56129555234054), (13.224885595246233, 12.59855083172409), (13.274559301090965, 12.660642964030005), (13.324233006935698, 12.697898243413555), (13.361488286319249, 12.735153522797104), (13.398743565702798, 12.784827228641836), (13.435998845086347, 12.822082508025385)) → stroke3
  19. PolyLine((12.839914374949558, 9.469107363505955), (NaN, NaN), (13.162793462940318, 8.848186040446803), (13.187630315862684, 8.786093908140888), (13.224885595246233, 8.724001775834973), (13.2497224481686, 8.686746496451423), (13.262140874629782, 8.649491217067874), (13.286977727552149, 8.612235937684325), (NaN, NaN), (13.013772345406121, 9.518781069350688), (NaN, NaN), (13.013772345406121, 9.518781069350688), (12.839914374949558, 9.469107363505955), (13.026190771867304, 9.44427051058359), (13.063446051250853, 9.369759951816492), (13.113119757095586, 9.257994113665845), (13.175211889401501, 9.171065128437563), (13.224885595246233, 9.084136143209282), (13.262140874629782, 9.009625584442183), (13.299396154013332, 8.935115025675085), (13.324233006935698, 8.897859746291536), (13.361488286319249, 8.83576761398562), (13.386325139241615, 8.773675481679705), (12.852332801410741, 9.431852084122406), (13.423580418625164, 8.724001775834973), (13.44841727154753, 8.686746496451423), (13.473254124469896, 8.649491217067874), (13.498090977392263, 8.612235937684325), (13.510509403853446, 8.574980658300776), true, (12.877169654333107, 9.382178378277676), (12.92684336017784, 9.307667819510577), (12.976517066022572, 9.220738834282296), (13.013772345406121, 9.15864670197638), (13.05102762478967, 9.059299290286916), (13.113119757095586, 8.935115025675085)) → stroke4