ABCD is a square. Its diagonals meet at point E. Use the slider s to adjust the size of the sides of the square. Drag A to move the square. Use B to rotate the square.
1. Check step 1. Adjust the sides and move/rotate the square. What can you say about the angle at which the diagonals bisect each other?
2. Uncheck step 1 and check step 2. Adjust the sides and move/rotate the square. What can you say about the relationship between the diagonal segments?
3. Uncheck step 2 and check step 3. Adjust the sides and move/rotate the square. What can you say about the relationship between the diagonals?
4. Uncheck step 3 and check step 5. Adjust the sides and move/rotate the square. What can you say about the relationship between the angles formed at the corners of the squares by the diagonals?