Another seven circle theorem

Let two triangle ABC and XYZ; three sidelines of ABC meet three sideline of XYZ at Ay,Az,Bx,Bz,Cy,Cz(show in the figure). Such that Ay,Az,Bx,Bz,Cy,Cz lie on a circle. A1,B1,C1,X1,Y1,Z1 respectively are circumcenter of (AAyAz),(BBxBz),(CCxCy),(XCxBx),(YAyCy),(ZAzBz). Then A1X1,B1Y1,C1Z1 are concurrent

 

Đào Thanh Oai

 
Resource Type
Activity
Tags
circle  collinear  concurrent  problem  seven  theorem 
Target Group (Age)
19+
Language
English (United States)
 
 
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4.2
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