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.
Are opposite sides of a parallelogram congruent?
Are consecutive angles of a parallelogram (angles right next to each other) supplementary?[br][br]7) Find the sum of the measures of each pair of consecutive angles in the parallelogram. ([math]\angle[/math]A and [math]\angle[/math]D, [math]\angle[/math]D and [math]\angle[/math]C, etc.)
Do the diagonals of a parallelogram bisect each other? (Cut each other in half)
Are the diagonals of a parallelogram perpendicular?
Does a diagonal of a parallelogram bisect a pair of opposite angles? [br]
Are the diagonals of a parallelogram congruent? (Is the full length of one diagonal equal to the full length of the other diagonal?)[br]
Are opposite angles of a parallelogram congruent?