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September 27th, 2018, 07:24 PM   #1
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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 nine-point 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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