The Drag Test

Exploration Task

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?

What do we have to know about the geometric figure before we are able to construct it using Dynamic Mathematics Software?