Properties of a Parallelogram Demo by Julie Reulbach

Properties of a Parallelogram Demo by Julie Reulbach
Loading the math board and drawing, please wait…
2015-01-23 10:21
This example demonstrates the geometric properties of a parallelogram, including parallel opposite sides, equal opposite sides, equal opposite angles, and supplementary adjacent angles. Key mathematical concepts involved are properties of parallel lines, congruent triangles, vectors, and angle calculations. Construction involves commands like Point, Segment, Line, Circle, Intersect, Length, and Angle to form the parallelogram and auxiliary shapes. Suitable for middle school and above students to learn and understand the geometric characteristics and proofs of parallelograms.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 5]) → B
  2. Segment(A, B) → a
  3. Line(C, a) → b
  4. Circle(C, 5) → c
  5. Intersect(c, b, 2) → D
  6. Segment(C, D) → d
  7. Segment(A, C) → e
  8. Segment(B, D) → f
  9. Segment(A, D) → g
  10. Segment(C, B) → h
  11. Length(g) → i
  12. Angle(A, C, D) → α
  13. Angle(C, D, B) → β
  14. Angle(B, A, C) → γ
  15. Angle(D, B, A) → δ