Geometry, Theorems and Problems

Geometry Problem 1237: IMO 2016, Problem 1, Triangle, Congruence, Parallel Lines, Midpoint, Concurrency. Level: College, High School.

Geometry Problem 1237: IMO 2016, Problem 1, Triangle, Congruence, Parallel Lines, Concurrency.

Triangle CBF has a right angle at B. A is a point on line CF extended such that FA = FB. Point D is chosen such DA = DC and AC is the bisector of angle DAB. Point E is chosen such that EA = ED and AD is the bisector of angle EAC. Let M be the midpoint of CF. Let X be a point on ED extended such that MX is parallel to AE. Prove that lines BD, FX, and ME are concurrent.
Reference: International Mathematical Olympiad. IMO 2016, Problem 1.  

Art of Geometry Problem 1237 using Mobile Apps. Light Patterns.

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 kaleidoscope of problem 1237.

Art of problem 1237 using mobile apps, Mobile Apps, iPad, iPhone

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Last updated: Jul 22, 2016