

Geometry: Open Problems, High School, College, Tutoring


Geometry: Open Problems


Dynamic Geometry 1481.
Post a solution Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Stepbystep Illustration. GeoGebra,
iPad. 

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 1478.
Post a solution Cyclocevian, ReuschleTerquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Stepbystep Illustration. GeoGebra,
iPad. 

Dynamic Geometry 1477.
Post a solution Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Stepbystep Illustration. GeoGebra,
iPad. 

Dynamic Geometry 1476.
Post a solution DrozFarny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints, 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 1466.
Post a solution
Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.
Stepbystep Illustration using GeoGebra. 

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 1459.
Post a solution
Two Triangles, Orthocenter, Midpoint, Perpendicular, Stepbystep Illustration using GeoGebra. 

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

Geometry
Problem 1457.
Post a solution
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Stepbystep illustration using GeoGebra. 

Geometry
Problem 1455.
Post a solution
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. 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 1448.
Post a solution
Simson Line. Stepbystep
illustration using GeoGebra. 

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

Geometry Problem 1442.
Post a solution
Triangle, Altitudes, Orthocenter, Perpendicular, Congruent Angles,
Similarity, Measurement, Art, Poster, Typography, iPad Apps. 

Geometry Problem 1441.
Post a solution
Intersecting Circles, Perpendicular Bisector,
Parallel Lines, Art, Poster, Typography, iPad Apps. 

Geometry Problem 1438.
Post a solution
Triangle, Incenter, Centroid, Circumcenter, Parallel, 90 Degree, Art, Poster, Typography, iPad Apps. 

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 1419.
Post a solution
Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint. 

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 1395.
Post a solution
Triangle with three rectangles on the sides, Midpoints, Perpendicular lines, Concurrency. 

Geometry Problem 1394.
Post a solution
Three Circles and Three Pair of Common Internal Tangents, 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. 

Geometry Problem 1361.
Post a solution
Triangle, Two NinePoint Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps. 

Geometry Problem 1351.
Post a solution Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars. 

Geometry Problem 1345
Post a solution Three Equilateral Triangles, Center, Area, Common Vertex. 

Problem 1335. The
Lune of Hippocrates has the same area of a Kite.
Post a solution


Geometry Problem 1325.
Post a solution Octagons, Midpoints, Squares,
Mobile Apps, iPad. 

Geometry Problem 1319.
Post a solution Hexagons, Equilateral Triangles, Center, Midpoints. 

Geometry Problem 1317.
Post a solution Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence. 

Geometry Problem 1316.
Post a solution Triangle, Incircle, Tangent, Chord, Midpoint, Sum of two Segments, Congruence. 

Geometry Problem 1315.
Post a solution Triangle, Incircle, Tangent, Chord, Circle, Congruence. 

Static Diagram of problem 902
Dynamic Geometry Problem
902
Post a solution
Triangle, Four Squares, Center, Concurrent Lines.
GeoGebra, HTML5 Animation for Tablets


Geometry Problem 1301.
Post a solution Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency. 

Geometry Problem 1282.
Post a solution
Three Squares, Common Vertex, Midpoint, Perpendicular, 90 Degrees. 

Geometry Problem 1253.
Post a solution Triangle, Orthocenter, Circle, Circumcircle, Altitude, Perpendicular, 90 Degree, Concurrency. 

Geometry Problem 1238
Post a solution Square, Equilateral Triangle, Metric Relations. Mobile Apps. 

Geometry Problem 1233
Post a solution Triangle, Euler Line, Orthic Axis, Perpendicular, 90 Degrees, Orthic Triangle. 

Geometry Problem 1212
Post a solution
Equilateral Triangle, Equilateral Hexagon, Concurrent Lines. 

Geometry Problem 1210
Post a solution
Circle, Tangent Line, Secant, Chord, Collinear Points. 

Geometry Problem 1176
Post a solution Cyclic Quadrilateral, Diagonals, Six Diameters, Circles, Collinear Points, Concurrent Lines. 

Geometry Problem 1175: Six Tangential or Circumscribed Quadrilaterals Theorem
Post a solution


Geometry Problem 1168
Post a solution Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent. 

Geometry Problem 1143.
Post a solution Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points. 
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Last updated: May 24, 2020






