MathPlotAI Logo MathPlotAI

Line of Symmetry - Trapezoid Demo

Line of Symmetry - Trapezoid Demo
Loading the math board and drawing, please wait…
2016-10-04 02:14
PolygonTransformationGeometric Construction
This example demonstrates the line of symmetry in an isosceles trapezoid, involving core math concepts like symmetry, polygons, and geometric transformations. It uses commands like Segment, Line, Point, Polygon, Mirror in GeoGebra to construct the trapezoid and its axis of symmetry, suitable for high school mathematics education on geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Line(C, f) → g
  3. Point(g) → D
  4. Segment(B, D) → h
  5. Point(g) → E
  6. Segment(A, E) → i
  7. Segment(E, D) → j
  8. Polygon(D, B, A, E) → poly1, d, b, a, e
  9. Line(F, G) → k
  10. Mirror(D, k) → D'
  11. Mirror(B, k) → B'
  12. Mirror(A, k) → A'
  13. Mirror(E, k) → E'
  14. Polygon(D', B', A', E') → poly1', d', b', a', e'
  15. Segment(B', A') → l
  16. Segment(A', E') → m
  17. Segment(E', D') → n
  18. Segment(D', B') → p
  19. Polygon(D', B', A', E') → poly2, d'_1, b'_1, a'_1, e'_1