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Calculate Area of Special Quadrilaterals

Calculate Area of Special Quadrilaterals
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2023-09-07 13:37
PolygonCoordinate GeometryGeometric Construction
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This example demonstrates how to calculate the areas of special quadrilaterals (parallelogram, trapezoid, rhombus, square) using GeoGebra commands such as Join, Sequence, Zip, etc. Students can understand and verify the application of these quadrilaterals' area formulas. Suitable for 5-6 grade students.

GeoGebra Commands & Parameters

  1. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, 15]) → randomNos
  2. Sequence(2, 15) → listPool
  3. Sequence(RandomElement[listPool], m, 1, 110) → randomNosForX, {9, 8, 7, 15, 8, 14, 13, 4, 4, 11, 2, 2, 8, 14, 6, 14, 10, 2, 8, 9, 7, 3, 11, 7, 12, 9, 4, 10, 10, 2, 11, 10, 2, 12, 6, 6, 11, 14, 13, 9, 8, 3, 11, 11, 4, 4, 7, 9, 14, 7, 3, 6, 14, 6, 8, 4, 12, 2, 9, 10, 4, 7, 12, 5, 14, 12, 12, 4, 11, 11, 15, 5, 13, 3, 5, 7, 7, 3, 14, 8, 9, 14, 3, 9, 10, 4, 5, 12, 2, 6, 11, 9, 2, 8, 14, 3, 4, 8, 3, 4, 8, 3, 6, 6, 5, 13, 13, 11, 14, 14}
  4. Zip(RandomElement[listPool \ Join[{{m}, Sequence[1, (floor(m) * (1 - percentage))], Sequence[(ceil(m) * (1 + percentage)), 50]}]], m, randomNosForX) → randomNosForY
  5. If(numX ≥ numY, P1, P5) → A
  6. If(numX ≥ numY, P3, P7) → C
  7. Segment(A, C) → e1
  8. Sequence(RandomElement[Sequence[0.3, 0.5, 0.01]], m, 1, 110) → randomNosForProp, {0.48000000000000015, 0.4000000000000001, 0.4400000000000001, 0.4200000000000001, 0.37000000000000005, 0.4100000000000001, 0.4500000000000001, 0.37000000000000005, 0.48000000000000015, 0.4200000000000001, 0.47000000000000014, 0.39000000000000007, 0.4200000000000001, 0.49000000000000016, 0.46000000000000013, 0.32, 0.3, 0.47000000000000014, 0.4400000000000001, 0.4400000000000001, 0.4000000000000001, 0.34, 0.37000000000000005, 0.34, 0.33, 0.37000000000000005, 0.36000000000000004, 0.3, 0.4400000000000001, 0.31, 0.33, 0.35000000000000003, 0.4000000000000001, 0.4200000000000001, 0.47000000000000014, 0.31, 0.37000000000000005, 0.33, 0.39000000000000007, 0.49000000000000016, 0.4400000000000001, 0.36000000000000004, 0.38000000000000006, 0.4000000000000001, 0.5000000000000001, 0.4100000000000001, 0.48000000000000015, 0.3, 0.31, 0.35000000000000003, 0.34, 0.32, 0.47000000000000014, 0.36000000000000004, 0.36000000000000004, 0.37000000000000005, 0.39000000000000007, 0.4000000000000001, 0.38000000000000006, 0.46000000000000013, 0.34, 0.4400000000000001, 0.4300000000000001, 0.34, 0.4100000000000001, 0.37000000000000005, 0.4400000000000001, 0.4100000000000001, 0.34, 0.31, 0.3, 0.5000000000000001, 0.4300000000000001, 0.5000000000000001, 0.3, 0.48000000000000015, 0.31, 0.4000000000000001, 0.4400000000000001, 0.39000000000000007, 0.34, 0.34, 0.38000000000000006, 0.4500000000000001, 0.5000000000000001, 0.4500000000000001, 0.4300000000000001, 0.4400000000000001, 0.38000000000000006, 0.4200000000000001, 0.39000000000000007, 0.4000000000000001, 0.4200000000000001, 0.3, 0.4100000000000001, 0.4000000000000001, 0.32, 0.35000000000000003, 0.35000000000000003, 0.3, 0.4000000000000001, 0.3, 0.46000000000000013, 0.4400000000000001, 0.49000000000000016, 0.47000000000000014, 0.4300000000000001, 0.34, 0.4500000000000001, 0.4100000000000001}
  9. If(numX ≥ numY, P4, P8) → D
  10. If(numX ≥ numY, P2, P6) → B
  11. Segment(B, D) → f1
  12. Textfield(input1) → InputBox1
  13. Textfield(input2) → InputBox2
  14. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  15. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  16. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  17. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  18. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  19. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  20. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  21. Defined(input1) → fixed
  22. Intersect(e1, f1) → E
  23. Angle(A, E, D) → α
  24. NumberSeparationComma((numX * numY)) → numberSeparationZaehler
  25. If((10 * numA) - floor((10 * numA)) < 0.5, (floor((10 * numA)) * 0.1), (floor((10 * numA)) * 0.1) + 0.1) → numAround
  26. If((10 * numB) - floor((10 * numB)) < 0.5, (floor((10 * numB)) * 0.1), (floor((10 * numB)) * 0.1) + 0.1) → numBround
  27. Midpoint(A, B) → Ma
  28. Midpoint(B, C) → Mb
  29. Midpoint(C, D) → Mc
  30. Midpoint(D, A) → Md
  31. Sequence(Random[1, 4], m, 1, 130) → randomBate, {4, 1, 2, 3, 3, 3, 1, 3, 4, 1, 4, 4, 1, 4, 1, 1, 2, 1, 4, 3, 1, 2, 3, 4, 2, 3, 1, 4, 3, 1, 3, 2, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 2, 3, 1, 4, 3, 2, 1, 4, 1, 2, 2, 3, 3, 1, 3, 1, 1, 2, 4, 1, 1, 2, 2, 4, 1, 1, 4, 3, 3, 2, 1, 1, 1, 4, 1, 2, 4, 4, 1, 3, 4, 2, 2, 3, 4, 4, 4, 4, 1, 3, 1, 4, 1, 3, 2, 4, 4, 1, 2, 3, 3, 3, 1, 1, 3, 1, 4, 3, 3, 1, 1, 2, 1, 3, 4, 1, 3, 2, 2, 3, 2, 2, 4, 4, 2, 2, 1}

AI Drawing Prompt Reference

Draw a collection of special quadrilaterals including parallelograms, trapezoids, rhombuses, and squares to demonstrate area calculations. Start by plotting random pairs of points to form quadrilaterals, then connect these points to create different shapes. Label the diagonals and find their intersection points. Display the area formulas and calculations next to the shapes, using different colors to distinguish each quadrilateral.
The prompt above was compiled from the original drawing commands and is for reference only.