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Parallelogram Angles

Parallelogram Angles
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2017-03-10 02:15
PolygonAngleGeometric Construction
In collections Parallelograms Investigation
This example demonstrates the geometric property that the sum of interior angles in a parallelogram is 360 degrees. It involves core math concepts like parallel line properties, corresponding angles, alternate interior angles, and equal opposite angles in parallelograms. Construction highlights include using GeoGebra commands such as Line, Intersect, Segment, and Angle to build the parallelogram and measure its angles. Suitable for middle school and above students learning parallelogram geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(B, C) → g
  3. Line(C, f) → h
  4. Line(A, g) → i
  5. Intersect(h, i) → D
  6. Segment(A, D) → j
  7. Segment(D, C) → k
  8. Segment(C, B) → l
  9. Segment(B, A) → m
  10. Angle(B, A, D) → α
  11. Angle(A, D, C) → β
  12. Angle(D, C, B) → γ
  13. Angle(C, B, A) → δ