

Geometry: Open Problems, High School, College, Tutoring


Geometry: Open Problems
Geometry problems from the gogeometry.com website awaiting submission of solutions.
The ultimate goal may be to encourage mathematical thinking and
problemsolving skills, and to foster a sense of community among those
interested in geometry and mathematics more broadly.


Geometry
Problem 1529: Unlock the Mystery of Triangles: Solving for the Missing Angle with 1005030 Degree Angles and Cevian Lengths  A High School Challenge.
Post a solution. 

Geometry
Problem 1503.
Post a solution Triangle, Incircle, Tangent, Congruence, Perpendicular. 

Geometry
Problem 1502.
Post a solution Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. 

Geometry
Problem 1498.
Post a solution Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points. 

Geometry
Problem 1496.
Post a solution Triangle, Congruence, Isosceles, Double Angle, 30 Degrees. 

Dynamic Geometry 1480.
Post a solution Japanese Theorem for Cyclic Polygon,
Sangaku, Triangulation, Nonintersecting Diagonals, Sum of Inradii, Invariant, Stepbystep Illustration. GeoGebra,
iPad. 

Dynamic Geometry 1475.
Post a solution Clifford Intersecting Circles Theorem, Stepbystep Illustration, GeoGebra, iPad. 

Dynamic Geometry 1473.
Post a solution
Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Stepbystep Illustration. 

Dynamic Geometry 1471.
Post a solution
Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Stepbystep Illustration. 

Dynamic Geometry 1470.
Post a solution
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, Stepbystep Illustration. 

Geometry Problem 1462.
Post a solution
NewtonLine, NewtonGauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals,
Collinear Points. 

Dynamic Geometry
1460.
Post a solution
NewtonGauss Line, Complete Quadrilateral, Midpoints of Diagonals,
Collinear Points, Stepbystep Illustration using GeoGebra. 

Geometry
Problem 1458.
Post a solution
Triangle, Incircles, Excircle, Area, Stepbystep Illustration using GeoGebra. 

Dynamic Geometry 1451.
Post a solution
Orthopole of a Line. Stepbystep
illustration using GeoGebra. 

Dynamic Geometry 1450.
Post a solution
Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters. Stepbystep
illustration using GeoGebra. 

Dynamic Geometry 1449.
Post a solution
Salmon Line. Stepbystep
illustration using GeoGebra. 

Dynamic Geometry Problem 1444.
Post a solution
The Asymmetric Propeller Theorem, Equilateral Triangles, Midpoints. Using GeoGebra. 

Geometry Problem 1437.
Post a solution
Intersecting Circles, Common Tangent, Equal Product, Art, Poster, Typography, iPad Apps. 

Geometry Problem 1435.
Post a solution
Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points,
Poster, Typography, iPad Apps. 

Geometry Problem 1434.
Post a solution
Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement,
Poster, Typography, iPad Apps. 

Geometry Problem 1431.
Post a solution
Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles, Poster, Conformal Mapping. 

Geometry Problem 1417.
Post a solution
Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. 

Geometry Problem 1401.
Post a solution
Right Triangle with three circles on the sides, Isosceles, Diameter, Center, Tangent, Congruence. 

Geometry Problem 1396.
Post a solution
Triangle with three rectangles on the sides, Vertices, Perpendicular lines, Concurrency. 

Geometry Problem 1385.
Post a solution
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points. 

Geometry Problem 1376.
Post a solution
Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines. 
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Last updated:
Mar 25, 2023






