Parallelogram (Scaffolded Discovery)
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. These properties hold true for any parallelogram (including rectangle, rhombus, square). The questions you'll need to investigate/answer are displayed below this applet.
Use the tools GeoGebra within this applet to investigate the answers to the following questions:
Are opposite sides of a parallelogram congruent?
Are opposite angles of a parallelogram congruent?
Do the diagonals of a parallelogram bisect each other?
Does a diagonal of a parallelogram bisect a pair of opposite angles?
Are the diagonals of a parallelogram perpendicular?
Are the diagonals of a parallelogram congruent?
What is the sum of any pair of consecutive angles of a parallelogram?