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Zukei Level 7

Zukei Level 7
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2016-12-31 22:56
PolygonTransformationGeometric Construction
In collections Zukei Game
This example demonstrates geometric construction problems in Zukei Level 7. Core mathematical concepts include straight lines, dilation, subtraction, and means. Using GeoGebra commands such as Sort, Element, If, Polygon, etc., various shapes like parallelograms, trapezoids, rhombuses, rectangles, and squares can be constructed. Suitable for middle school and above students or teachers.

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 an isosceles right triangle by first drawing two equal-length legs forming a right angle, then connecting their endpoints to form the right angle. Next, draw a circle with the right angle vertex as the center and the leg as the radius, and the intersection points of the circle with the legs are the endpoints of the hypotenuse. Finally, connect these points to form the isosceles right triangle.
The prompt above was compiled from the original drawing commands and is for reference only.