In the picture below 2 chords intersect inside the circle. [br]This breaks each chord up into 2 parts. [br]Do you notice any relationship between the 4 parts of the chords?[br]Now multiply the length of CG by the length of GD. Write that value here __________.[br]Now multiply the length of EG by the length of GF. Write that value here __________.[br]What do you notice about the products above?[br][br][b]Now move all 4 points of the circle to a new position. (Make sure that the chords still intersect.)[/b][br]Now multiply the 2 parts of each chord together and see if you get the same result as above.[br]Product 1: __________ Product 2: ___________

In the picture below 2 secant lines intersect outside of a circle. [br]This breaks each secant line into 2 parts. [br]Do you notice any relationship between these four segments?[br]Now find the length of CD and ED and write the here. CD = ________ ED = ________[br]Multiply the length of CD and FD together and write the product here. ___________[br]Multiply the length of ED and GD together and write the product here. ____________[br]What do you notice about the products from above?[br][br][b]Now move point C, point E and point D to new locations. [/b] [br]Perform the same process from above and see if you get the same results.[br]CD=________ ED=_________ Product of CD and FD=_________ Product of ED and GD=_________

In the figure below a secant line intersects a tangent line outside of the circle.[br]The secant line is broken up into two parts. [br]This is similar to the figure above except for CD only has 1 section. [br][br]Find the length of EC and write it here. EC = ________[br]Multiply the length of EC by the length of FC. Write the product here ___________. (round to the nearest whole number)[br]What is the relationship between this product and the length of DC?[br][br]Move point C, E and D around to new positions and see if the relationship from above is still true.[br]EC = _________  Product of EC and FC =_________  DC squared =__________