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Zukei Level 6 Geometric Construction

Zukei Level 6 Geometric Construction
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2016-12-31 22:55
FunctionTrigonometryCoordinate GeometryGeometric ConstructionSlider Animation
In collections Zukei Game
This example demonstrates dynamic geometric construction and property exploration using GeoGebra, involving tangent and logarithmic functions, perimeter calculation, rotation transformations, and function graphing. Key commands like Sort, Element, If, Polygon, Length, Intersect, Point, Segment are used along with objects such as isQuad, diagBisectOnce, parallelogram, trapezoid, kite. Suitable for high school and above learners for comprehensive function and geometry applications training.

GeoGebra Commands & Parameters

  1. Sort(triSides) → TriSidesSort
  2. Element(TriSidesSort, 1) → sideA
  3. Element(TriSidesSort, 2) → sideB
  4. Element(TriSidesSort, 3) → sideC
  5. Element(answerList, numQuestion) → question
  6. If(square, "Square", isoTrapezoid, "Isosceles Trapezoid", trapezoid, "Trapezoid", isQuad, "Quadrilateral", " ", rectangle, "Rectangle", rhombus, "Rhombus", parallelogram, "Parallelogram", kite, "Kite") → quadText
  7. Polygon(A, F, F_6, A_6) → poly1, f, g, h, i
  8. Length(list6) → a
  9. If(triRight, "Right", triAcute, "Acute", triObtuse, "Obtuse", " ") → triAngleText
  10. If(triEquilateral, "Equilateral", triIsosceles, "Isosceles", triScalene, "Scalene", " ") → triSideText
  11. If(isQuad, quadText, isTriangle, triText, "blank") → polyText
  12. If(correct, correctText, wrongText) → textCheck
  13. Intersect(h, i) → G
  14. Intersect(g, h) → H
  15. Polygon(G, H, I, J) → poly2, g_1, h_1, i_1, j
  16. Point(j) → K
  17. Point(h_1) → L
  18. Segment(K, L) → l
  19. If(triIsosceles ∨ triEquilateral ∨ isoTrapezoid, "an", "a") → anText2
  20. If(question ≟ "Isosceles Right Triangle" ∨ question ≟ "Isosceles Triangle", "an", "a") → anText1
  21. If(triIsosceles, "Isosceles", "") → triIsoscelesText
  22. If(triRight ∧ triIsosceles, "Isosceles Right Triangle", triRight, "Right Triangle", triIsosceles, "Isosceles Triangle", triText) → triRightText
  23. If(isQuad, quadText, isTriangle, triRightText, "blank") → polyTextAlt

AI Drawing Prompt Reference

Draw a geometric figure featuring a polygon and a line segment. The polygon is formed by three points, and the line segment connects one vertex of the polygon to an external point. Label the polygon as equilateral, isosceles, or scalene based on its sides, and as acute, right, or obtuse based on its angles. If it's a quadrilateral, also label it as a square, rectangle, rhombus, trapezoid, or kite depending on its properties.
The prompt above was compiled from the original drawing commands and is for reference only.