Sketch 1: Parallelograms can be constructed using any of the definitions of their properties:

• A quadrilateral with two pair of opposite sides congruent
• A quadrilateral with two pair of opposite sides parallel
• A quadrilateral with one pair of opposite sides congruent and parallel
• A quadrilateral with two diagonals that bisect each other
• A quadrilateral with adjacent angles that are supplementary

Which of these do you think was used to create the parallelogram shown below?

Sketch 2: How was this kite constructed? Move the points before you click in the box.

Sketch 3: How was this trapezoid constructed?  Are all kites considered parallelograms?  Why or why not?