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Creating Distances in 3 Space: Quick Formative Assessment by Tim Brzezinski

Creating Distances in 3 Space: Quick Formative Assessment by Tim Brzezinski
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2021-11-23 00:39
Coordinate GeometrySolid GeometryGeometric Construction
In collections Creating Distances in 3 Space
This example demonstrates constructing distances in 3D space, involving geometric concepts and basic feedback mechanisms. Commands used include Segment, Angle, Polygon, Prism, Length, Mode, RandomElement, CountIf, If, etc. Suitable for high school mathematics education, particularly for coordinate geometry and solid geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(A, C) → g
  3. Segment(C, D) → h
  4. Segment(D, B) → i
  5. Segment(D, A) → j
  6. Angle(D, C, A) → α
  7. Angle(B, D, A) → β
  8. Polygon(A, C, D, E) → q1, a, c, d, e
  9. Prism(D, C, A, E, B) → b, F, edgeCD, edgeAC, edgeAE, edgeDE, edgeBD, edgeCF, edgeAG, edgeEH, edgeBF, edgeFG, G, edgeGH, edgeBH, H, faceACDE, faceBDCF, faceACFG, faceAEHG, faceBDEH, faceBFGH
  10. Polygon(D, C, A) → t1, a_1, d_1, c_1
  11. Polygon(D, B, A) → t2, l, m, n
  12. Length(l1) → o
  13. Mode(l1) → l2
  14. RandomElement(l1) → p
  15. CountIf(x ≟ p, l1) → q
  16. If(q ≟ 1, "1 unique", q ≟ 2, "2 unique", q ≟ 3, "3 unique") → text3
  17. If(q ≟ 1, "possibility exists.", "possibilities exist.") → text4

AI Drawing Prompt Reference

Create a 3D geometric figure with quadrilateral ABCD and point E, connecting A, B, C, D, and E to form a prism. Measure angles DCA and DBA, construct triangles ACD and ABD, calculate edge lengths, and randomly select one length to check if it is unique.
The prompt above was compiled from the original drawing commands and is for reference only.