Exploring Special Parallelograms

Use the following construction to explore relationships that exist in special types of parallelograms. Drag the vertices of the parallelogram to explore and answer the questions below.
For each of the following questions, create an if-then statement to summarize you findings. 1. Can you make the diagonals equal? What type of shape do you get as a result? 2. Get all four sides of the parallelogram to be congruent (equal length). What do you notice about the diagonals? 3. Now try to do both at the same time, 4 congruent sides and both diagonals congruent. What type of quadrilateral do you get?