GeoGebra construction: Draw rhombus with dynamic interior angles and side lengths

Suppose you want to draw a rhombus ABCD where you can dynamically adjust both its side lengths and its interior angles.

  1. Create a number slider for the side length: a = Slider(1, 10, 0.1)
  2. Create an angle slider for the interior angle: α = Slider(0°, 180°, 1°)
  3. Draw a fixed starting point A anywhere on the graphics view.
  4. Draw segment AB using the “Segment with Given Length” tool, entering a as the length.
  5. Rotate point B around center point A by the angle α to create a new point, B′. Rename this new point to D.
  6. Draw circle c centered at B with a radius of a.
  7. Draw circle d centered at D with a radius of a.
  8. Plot the intersection point C where circles c and d cross.
  9. Use the Polygon tool to connect vertices A, B, C, and D to complete the rhombus.
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