19 Sept 2013

OEMO Beginners 2000 Q4: Middle Secondary Mathematics Competition Question

Let ABCDEFG be one half of a regular dodecagon.

Let P be the intersection of the lines AB and GF and let Q be the intersection of the lines AC and GE.

Show that Q is the circumcenter of the triangle AGP.

[OEMO Beginners 2000 Q4]

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