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Verifying Triangle Properties with GeoGebra

Verifying Triangle Properties with GeoGebra
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2015-10-21 03:34
TriangleCoordinate GeometryGeometric Construction
This example demonstrates how to use GeoGebra to verify geometric properties of triangle ABC with vertices A(-2, 4), B(5, 4), and C(3, -2). Core mathematical concepts include centroid, side length calculation, and midpoint determination. The construction utilizes commands like Polygon, Line, Segment, Midpoint, Intersect, and objects such as instructionFraction, screenwidth, and instructionEdge. Suitable for high school mathematics instruction and geometric construction practice.

GeoGebra Commands & Parameters

  1. Polygon((instructionEdge, y(Corner[1])), Corner[2], Corner[3], (instructionEdge, y(Corner[4]))) → instruction, instructionBottom, instructionRight, instructionTop, instructionLeft
  2. Line((instructionEdge + ((4 * indent) * screenwidth), 0), yAxis) → align3
  3. Line((instructionEdge + ((3 * indent) * screenwidth), 0), yAxis) → align2
  4. Line((instructionEdge + ((2 * indent) * screenwidth), 0), yAxis) → align1
  5. Segment(A, B) → a
  6. Segment(B, C) → b
  7. Segment(C, A) → c
  8. Midpoint(a) → T
  9. Midpoint(c) → V
  10. Midpoint(b) → U
  11. Line(T, C) → e
  12. Line(U, A) → f
  13. Intersect(f, e) → X
  14. Line(V, B) → d
  15. GCD(AUdistance2, AXdistance2) → Agcd
  16. GCD(BXdistance2, BVdistance2) → Bgcd