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Let ABC be a triangle. Let a line intersect the sides of ABC (perhaps extended) at A', B', and C'. Then the midpoints of the segments AA', BB', and CC' are collinear.
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
See problem 6 in Classical Theorems in Plane Geometry.
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Published: March 7 2011