Quadrilateral Investigation

Collin Holmquist, Tamara, Oct 18, 2017


  • 1. Copy of Parallelogram Template (Scaffolded Discovery)
  • 2. Copy of Rectangle Template (Scaffolded Investigation)
  • 3. Copy of Rhombus Template (Scaffolded Discovery)
  • 4. Copy of Square Template (Scaffolded Investigation)
  • 5. Copy of Isosceles Trapezoid Template (Scaffolded Discovery)
  • 6. Copy of Kite Template: Scaffolded Investigation

1.

Copy of Parallelogram Template (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. 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 the tools GeoGebra within this applet to investigate the answers to the following questions:[br][br][br]1) Are opposite sides of a parallelogram congruent?[br]3) Are opposite angles of a parallelogram congruent?[br]4) Do the diagonals of a parallelogram bisect each other?[br]5) Does a diagonal of a parallelogram bisect a pair of opposite angles? If so, how many do?[br]6) Are the diagonals of a parallelogram perpendicular?[br]7) Are the diagonals of a parallelogram congruent?[br]
– Collin Holmquist, Tim Brzezinski

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