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The figure below shows a trapezoid ABCD (AD // BC). Circle O passes through A and B and is tangent to CD at E. Circle Q passes through C and D and is tangent to AB at F. The common chord GH intersects EF at M. Prove that M is the midpoint of EF.

See also: Typography of problem 1031.

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery | Art | 1031-1040 | Trapezoid | Circle | Intersecting Circles | Circle Tangent Line | Midpoint | Common Chord | Parallel lines | Email | by Antonio Gutierrez

Add a solution to the problem 1031 Last updated: Sep 19, 2014