The dotted yellow lines are the angle bisectors of the interior angles of a quadrilateral. Their intersections form a new quadrilateral. Drag the yellow dots.[br][br]Conjecture(s)? [br][br]Proof(s)? [br][br]Extension(s)?[br][br][color=#ff0000][i][b]What questions could/would you pose to your students based on this applet ?[/b][/i][/color]

Adapted from a challenge by Alsina & Nelson