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Properties of an Isosceles Trapezoid

Properties of an Isosceles Trapezoid
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2017-12-06 01:52
PolygonAngleGeometric Construction
This example demonstrates the geometric properties of an isosceles trapezoid. Key math concepts include polygons, angles, distances, midpoints, and line segments. Construction highlights involve GeoGebra commands like Point, Segment, Distance, Midpoint, Angle, and PolyLine. Suitable for middle school and above students to explore the characteristics of isosceles trapezoids.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 5]) → B
  2. Segment(A, B) → f
  3. Point(Circle[C, 7]) → D
  4. Segment(C, D) → g
  5. Segment(A, C) → h
  6. Segment(B, D) → i
  7. Distance(A, C) → distanceAC
  8. Midpoint(A, C) →
  9. Distance(B, D) → distanceBD
  10. Midpoint(B, D) →
  11. Angle(B, D, C) → α
  12. Angle(D, C, A) → β
  13. PolyLine((5.210000000000002, 7.420000000000003), (NaN, NaN), (5.710000000000002, 7.280000000000003), (5.770000000000002, 7.2600000000000025), (5.830000000000002, 7.240000000000003), (5.890000000000002, 7.220000000000002), (5.950000000000002, 7.200000000000003), (6.0100000000000025, 7.180000000000002), (6.070000000000002, 7.140000000000002), (6.130000000000003, 7.120000000000003), (6.190000000000002, 7.100000000000002), true, (5.210000000000002, 7.420000000000003), (5.290000000000002, 7.420000000000003), (5.350000000000002, 7.400000000000003), (5.410000000000002, 7.380000000000003), (5.470000000000002, 7.360000000000003), (5.530000000000002, 7.3400000000000025), (5.590000000000002, 7.320000000000003), (5.650000000000002, 7.3000000000000025)) → stroke1
  14. PolyLine((11.010000000000003, 7.160000000000003), (NaN, NaN), (11.530000000000005, 7.400000000000003), (11.590000000000003, 7.420000000000003), (11.650000000000004, 7.480000000000003), (11.710000000000004, 7.500000000000003), (11.770000000000005, 7.540000000000003), (11.830000000000004, 7.560000000000003), (11.890000000000004, 7.600000000000003), (11.950000000000005, 7.620000000000003), (12.010000000000005, 7.640000000000003), true, (11.010000000000003, 7.160000000000003), (11.070000000000004, 7.180000000000002), (11.130000000000004, 7.200000000000003), (11.190000000000005, 7.240000000000003), (11.250000000000004, 7.280000000000003), (11.330000000000004, 7.320000000000003), (11.390000000000004, 7.360000000000003), (11.470000000000004, 7.380000000000003)) → stroke2
  15. Segment(A, D) → j
  16. Segment(B, C) → k
  17. Distance(A, D) → distanceAD
  18. Midpoint(A, D) →
  19. Distance(B, C) → distanceBC
  20. Midpoint(B, C) →
  21. Angle(C, A, B) → γ
  22. Angle(A, B, D) → δ