The Drag Test

Exploration Task
[size=100]The interactive construction below shows several squares constructed in different ways.[br][/size][list][*][size=100]Examine the squares by dragging ALL their vertices with the mouse.[/size][/*][*][size=100]Find out which of the quadrilaterals are real squares and which ones just happen to look like squares.[/size][/*][/list]
[*][size=100]Try to come up with a conjecture about how each square was created and write it down.[/size][/*][*][/*]
Discussion Questions
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?[br]
What do we have to know about the geometric figure before we are able to construct it using Dynamic Mathematics Software?
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Information: The Drag Test