********************************************************************** statement reason ********************************************************************** 1.AB // DE, AD // EB 1. given 2.quadrilateral ABED is a parallelogram 2. converse parallelogram th. if opposite sides of a quadrilatral are parallel the quad is parallelogram 3.BD is a diagonal of ABED 3. def. of a diagonal 4.tri BAD is congruent to tri DEB 4. diagonals of paralleogram form two congruent triangles