Geometry Problem 603: Parallelogram, Diagonals, Congruence, Concurrency

The figure shows a parallelogram ABCD. E is on DA extended, F is on DC extended, G is on BC extended, and H is on BA extended. If EFGH is a parallelogram, prove that lines AC, BD, EG, FH, MN, and PQ are concurrent.

 

Parallelogram, Diagonals, Concurrency
 
 
  

Geometric Art of problem 603: Generative abstract compositions

Geometric Art of problem 603: Generative abstract compositions, Parallelogram, Diagonals

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