Chapter 4 Activity 3
b. PW * PX= PZ*PY
c. This conjecture holds true when P is inside or on the circle.
d. Since triangle PWZ is similar triangle PYX we know corresponding sides PX and PZ as well as PW and PY have a constant ratio. That is, PW/PY = PZ/PX. Therefore PW*PX=PY*PZ.