Problem 576: Centroid, Triangle, Quadrilateral, Parallel,
Measurement.
Level: High School, College, Math Education.
The figure shows a quadrilateral ABCD. E is the centroid of
triangle ABC and F is the centroid of triangle BCD. Prove that
(1) EF is parallel to AD, (2) the measure of EF is onethird of
the measure of AD.

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