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Construct a Rhombus by GeoGebra Team

Construct a Rhombus by GeoGebra Team
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2019-05-27 14:47
PolygonCoordinate GeometryGeometric Construction
In collections Learn Geometry
This example demonstrates how to construct a rhombus using GeoGebra. Key mathematical concepts include parallel lines, equidistant lines, and polygons. The commands used include Segment, Line, Circle, Intersect, and Polygon. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Line(B, C) → g
  3. Circle(B, A) → c
  4. Intersect(c, g, 2) → D
  5. Line(A, g) → h
  6. Line(D, f) → i
  7. Intersect(h, i) → E
  8. Polygon(A, B, D, E) → q1, a, b, d, e

AI Drawing Prompt Reference

Draw a rhombus by first connecting points A and B, then drawing a line through points B and C, next drawing a circle with center B and radius AB, finding the second intersection of the circle and the line as point D, then drawing a line through point A and the line BC, drawing another line through point D and segment AB, finding the intersection of these two lines as point E, and finally drawing a quadrilateral with points A, B, D, and E.
The prompt above was compiled from the original drawing commands and is for reference only.