Bases and Heights of Parallelograms: IM 6.1.5 Activities 1-3

Bases and Heights of Parallelograms: IM 6.1.5 Activities 1-3
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2020-08-26 22:30
① This example shows how to construct a parallelogram in GeoGebra and dynamically display the relationship between its bases and corresponding heights. ② Core mathematical concepts include the area formula for parallelograms, definitions of base and height, and vector translation preserving parallelogram properties. ③ Construction highlights: Polygon creates the quadrilateral, Segment draws edges, Vector defines the translation vector, Translate moves the whole figure producing vertices A',B',C',D' and a new polygon poly1'. ④ Suitable for middle‑school geometry (grades 6‑8) and teacher lesson demonstrations, helping students visualize base‑height correspondence and area invariance.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(C, E, F, D) → poly2, c_1, e, f, d_1
  3. Segment((4, 0), (4, t)) → g
  4. Segment(D, C) → h
  5. Vector((0, 0), (t - 7, 0)) → u
  6. Translate(A, u) → A'
  7. Translate(B, u) → B'
  8. Translate(C, u) → C'
  9. Translate(D, u) → D'
  10. Polygon(A', B', C', D') → poly1', a', b', c', d'