# Typography of Geometry Problem 1031: Trapezoid, Intersecting Circles, Common Chord, Tangent Line, Midpoint, Parallel Lines, iPad Apps

### Proposition

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.

###

### Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

See also:

Original problem
1031.