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Teaching

Interactive Geometry Demos: Moving Points Beat Static Sketches

Circle angles, similarity, Pythagoras—move a point to see if the claim still holds, then write the relation into the handout.

A static sketch can’t answer “if I move the point, does it still hold?” Drag the point in class and students see what changes and what doesn’t.

Start from the geometry resources hub, or jump straight into demos like the Pythagorean theorem visualizer, similar triangles, and the law of sines & cosines.

Good demo topics

  • Pythagoras: how areas track when side lengths change
  • Inscribed vs central angles
  • Corresponding sides in similar triangles
  • Corresponding / alternate interior angles with a transversal

Short arc

  1. State a conjecture
  2. Drag to test
  3. Write the relation or theorem line in the LaTeX editor

Visualization for intuition, formulas for exam language. Clear split—no need to force both into one window.

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