In the sketch below [math]ABCD[/math] is a square. You can move or change the size of the square by moving points [math]A[/math] or [math]B[/math] (in blue). [br][br]Draw in the two diagonals [math]AC[/math] and [math]BD[/math] and discover as many properties about them as you can (how they are related to each other and the square, where they meet, etc) and record them below.
What did you discover about the diagonals? Can you explain why your properties are true?