Day seven : Ratio in a Circle

by Nami Youn


Objective

To discover the relationship of ratio of two chords in a circle

To understand the conditions for four points on a cirlcs


1. The relationship of the ratio of two chords in a circle

Property  : If two lines  through a point P meet a circle at points A, A' and B, B', respectively,
                    then, (PA)(PA') = (PB)(PB')
 
 

case 1 P is outside a circle
 
 


 
 
 

gsp file



 

case 2 P is inside a circle
 
 







 
 
 
 
 



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