Discovering Properties of Parallelograms (Scaffolded Discovery)
- Julian Ornelas, Tim Brzezinski
The applet below contains a quadrilateral that ALWAYS remains a parallelogram. The purpose of this applet is to help you understand many of the geometric properties a parallelogram has. Some of these properties are unique and only hold true for a parallelogram (and not just any quadrilateral). The questions you need to answer are displayed below this applet.
Use this applet to investigate the answers to the following questions. Answer in complete sentences. 1) Are opposite sides of a parallelogram congruent? 2) Are opposite angles of a parallelogram congruent? 3) Do the diagonals of a parallelogram bisect each other? 4) Does a diagonal of a parallelogram bisect a pair of opposite angles? If so, how many diagonals do? 5) Are the diagonals of a parallelogram perpendicular? 6) Are the diagonals of a parallelogram congruent? 7) Find the sum of the measures of each pair of consecutive angles in the parallelogram. (A and D, D and C, etc.)