Chapter 4 Activity 3
a
Triangle PWZ is similar to triangle PYX
b
If WXYZ is a cyclic quadrilateral and the lines containing WX and YZ intersect at point P, then PW times PX and PZ time PY are equal
c
Yes. My conjecture still holds true regardless of the location of the point P
d
Since triangle PWZ is similar to triangle PYX we know that corresponding sides PX and PZ as well as PW and PY have a constant ratio. That is PW/PY=PZ/PX. Therefore PW times PX=PZ times PY