Kite Investigation - Borrelli

The applet below contains a quadrilateral that ALWAYS remains a kite. The purpose of this applet is to help you understand many of the geometric properties a kite has. Some of these properties are unique and only hold true for a kite (and not just any quadrilateral).[br]1. Measure the angles of the kite. Move the vertices around. [br]2. Write a conjecture about the angles in a kite.[br]3. Construct the diagonals of the kite and measure the angles formed by the intersection of the kite. [br]4. Measure the segments made up by the diagonals. Move the vertices around[br]5. Write a conjecture about the diagonals of a kite.
Use the tools GeoGebra within this applet to investigate the answers to the following questions:[br][br]1) Is a kite a parallelogram?[br]2) Is a kite a rhombus? Explain why or why not.[br]3) Are OPPOSITE SIDES of a kite congruent? If so, how many pairs?[br]4) Are ADJACENT SIDES of a kite congruent? If so, how many pairs? [br]5) Are any pairs of opposite angles of a kite congruent? If so, how many pairs?[br]6) Do the diagonals of a kite bisect EACH OTHER?[br]7) Does either diagonal of a kite get bisected by the other diagonal? If so, which diagonal gets bisected?[br]8) Does any diagonal of a kite bisect a pair of opposite angles? If both diagonals don't do this, does one diagonal do this? If so, which diagonal? [br]9) Are the diagonals of a kite perpendicular?[br]10) Are the diagonals of a kite congruent?[br]11) Does either diagonal of a kite serve as a line of symmetry? If so, which one(s)?[br]12) Is a kite a rhombus? [br]13) What properties do a kite and a rhombus share (have in common)?

Information: Kite Investigation - Borrelli