Geometric Construction and Properties of a Rhombus by Tleclerc18

Geometric Construction and Properties of a Rhombus by Tleclerc18
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2016-01-11 13:07
① This example demonstrates how to construct a rhombus in GeoGebra and display its side lengths, interior angles, and diagonal midpoints. ② Core mathematical concepts include polygons (rhombus), angles, segment lengths, midpoints, and the perpendicular bisector property of the diagonals. ③ Construction highlights: Segment command draws the four sides; Angle command marks interior angles; Distance command measures side and diagonal lengths; Midpoint command finds diagonal midpoints. Objects involved are vertices A, B, C, D, E, F, angles α, β, γ, δ, and text labels such as distanceAB, TextAB, etc. ④ Suitable for middle‑school geometry lessons on rhombus properties, high‑school geometric construction practice, or as a teacher’s instructional resource.

GeoGebra Commands & Parameters

  1. Segment(D, A) → a
  2. Segment(A, B) → b
  3. Segment(C, B) → c
  4. Segment(D, C) → d
  5. Angle(A, B, C) → α
  6. Angle(B, C, D) → β
  7. Angle(C, D, A) → γ
  8. Angle(D, A, B) → δ
  9. Distance(D, A) → distanceDA
  10. Midpoint(D, A) →
  11. Distance(A, B) → distanceAB
  12. Midpoint(A, B) →
  13. Distance(B, C) → distanceBC
  14. Midpoint(B, C) →
  15. Distance(C, D) → distanceCD
  16. Midpoint(C, D) →