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Two Parallelograms on the Same Base and Between the Same Parallels

Two Parallelograms on the Same Base and Between the Same Parallels
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2020-10-22 14:53
PolygonGeometric Construction
In collections CLASS IX CBSE MATHS ACTIVITIES
This example demonstrates that two parallelograms on the same base and between the same parallels have equal areas. Key concepts include the properties of parallelograms and area calculation. Using GeoGebra commands like Polygon, PointIn, and Point, the construction process is dynamically shown. Suitable for students at the junior high school level and above for learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. PointIn(q1) → Pointq1
  3. Point(d) → E
  4. Polygon(B, E, F, C) → q2, b_1, e, f, c_1
  5. PointIn(q2) → Pointq2

AI Drawing Prompt Reference

Draw two parallelograms sharing the same base and lying between the same pair of parallel lines. First, construct a parallelogram with its base horizontal, and mark a point inside it. Then, using one side of the first parallelogram as the base, construct a second parallelogram such that its opposite side is parallel to the other side of the first, and both are between the same parallels. Mark a point inside the second parallelogram as well. The figure illustrates that the two parallelograms have equal areas.
The prompt above was compiled from the original drawing commands and is for reference only.