The Drag Test

How are the squares created?

The interactive construction below shows several squares constructed in different ways.

  • Examine the squares by dragging ALL their vertices with the mouse.
  • Find out which of the quadrilaterals are real squares and which ones just happen to look like squares.
  • Try to come up with a conjecture about how each square was created and write it down.
  • What is the difference between a drawing and a construction?

    What is the Drag Test and why is it important for interactive constructions?

    Why is it important to construct figures instead of just drawing them in a Dynamic Mathematics Software?