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September 27th, 2018, 07:24 PM  #1 
Newbie Joined: Sep 2018 From: United States Posts: 2 Thanks: 0  Two triangles ABC and XYZ have a common circumcircle
Hi, How do I solve the following problem: Two triangles ABC and XYZ have a common circumcircle. Suppose the ninepoint circle k of triangle ABC passes through the midpoints of XY and XZ. Prove that k also passes through the midpoint of YZ. 

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abc, circumcircle, common, geometry, triangles, xyz 
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