GeoGebra construction: Draw rhombus with dynamic side lengths

Suppose you want to draw a rhombus ABCD where you can dynamically adjust its side lengths and the position of its vertices.

  1. Create a number slider for the side length. Use the following command a = Slider(1, 10, 0.1)
  2. Draw segment AB using the “Segment with Given Length” tool, entering a as the length.
  3. Create point C anywhere on the screen, and then draw segment BC using the “Segment with Given Length” tool with length a. (Note: You can drag point C around point B to manually change the interior angles).
  4. Draw circle c centered at A with a radius of a.
  5. Draw circle d centered at C with a radius of a.
  6. Plot the intersection point D of circles c and d.
  7. Use the Polygon tool to select vertices A, B, C, and D to complete the rhombus.
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