An interesting function on the space of quadrilaterals
Drag the large BLACK dots {A, B, C, D} to form a quadrilateral you are interested in.
This environment constructs a function from the space of quadrilaterals
to the space of quadrilaterals as follows -
--circumscribes a circle around points A,B,C with center at E
--circumscribes a circle around points B,C,D with center at F
--circumscribes a circle around points C,D,A with center at G
--circumscribes a circle around points D,A,B with center at H
and then constructs the quadrilateral EFGH (in GREEN)
Explore this function and then write down all the conjectures
you can about its behavior.
Which of your conjectures can you prove?
This worksheet is a small modification of a worksheet of the same name created by Judah Schwartz: https://tube.geogebra.org/user/profile/id/25758