Discovering Properties of Kites
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). The questions you need to answer are displayed below this applet.
Use the features within this GeoGebra applet to investigate the answers to the following questions:
1) Are OPPOSITE SIDES of a kite congruent?
If so, how many pairs?
2) Are ADJACENT SIDES of a kite congruent?
If so, how many pairs?
3) Are any pairs of OPPOSITE angles of a kite congruent?
If so, how many pairs?
4) Are any pairs of ADJACENT angles of a kite congruent?
If so, how many pairs?
5) Are the diagonals of a kite congruent?
6) Do the diagonals of a kite bisect EACH OTHER?
7) Does either diagonal of a kite get bisected by the other diagonal?
If so, which diagonal gets bisected?
8) Does any diagonal of a kite bisect a pair of opposite angles?
If so, which diagonal(s)?
9) Are the diagonals of a kite perpendicular?
What do you observe about the triangles created by the diagonals?