Online Math: Geometry: Open Problems, High School, College, Tutoring, Tutorial, Tutor

Geometry: Open Problems

Ten Geometry Problems
Visual Index
Problemas en Espanol (Spanish-language version)
   Parallel lines
   Perpendicular lines
   Collinear Points
   Triangle
   Metric Relations
   Quadrilateral
   Triangle & Squares
   Polygons
    Pentagons
    Hexagons
    Heptagons
    Octagons
   Circle
   Triangle Centers
   Congruence
   Similarity, Ratios, Proportions.

Geometry Problem 1409.
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Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity.

Geometry Problem 1408.
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Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity.

Geometry Problem 1407.
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Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity.

Geometry Problem 1406.
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Four Congruent Circles, Measurement, Metric Relations, Sum of the Squares.

Geometry Problem 1404.
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Three Circles, Center, Intersecting Points, Collinearity, Congruence.

Geometry Problem 1402.
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Triangle, Three Tangent Circles, Parallel Diameter, Collinear Points.

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

Geometry Problem 1400.
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Triangle with three rectangles on the sides, Perpendicular Bisectors, Concurrency.

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

Geometry Problem 1395.
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Triangle with three rectangles on the sides, Midpoints, Perpendicular lines, Concurrency.

Geometry Problem 1394.
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Three Circles and Three Pair of Common Internal Tangents, Concurrency.

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

Geometry Problem 1376.
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Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines.

Geometry Problem 1375.
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Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base.

Geometry Problem 1373.
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Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base.

Geometry Problem 1371: Equilic Quadrilateral 5
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Geometry Problem 1364.
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Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps.

Geometry Problem 1361.
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Triangle, Two Nine-Point Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps.

Geometry Problem 1360.
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Triangle, Nine-Point Circle, Feuerbach's Circle, Euler's Circle, Cyclic Quadrilateral, Concyclic Points, Sketch, iPad Apps.

Geometry Problem 1359.
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Triangle, Circumcircle, Congruent Angles, Midpoints.

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

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

Problem 1335. The Lune of Hippocrates has the same area of a Kite.
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Geometry Problem 1325.
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Octagons, Midpoints, Squares, Mobile Apps, iPad.

Geometry Problem 1320.
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Triangle, Incircle, Tangent, Chord, Circle, Parallel, Perpendicular, Collinearity.

Geometry Problem 1319.
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Hexagons, Equilateral Triangles, Center, Midpoints.

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

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

Geometry Problem 1315.
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Triangle, Incircle, Tangent, Chord, Circle, Congruence.

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

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

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

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

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

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

Geometry Problem 1212
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Equilateral Triangle, Equilateral Hexagon, Concurrent Lines.

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

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

Geometry Problem 1175: Six Tangential or Circumscribed Quadrilaterals Theorem
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Geometry Problem 1169
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Complete Quadrilateral, Orthocenters of the Component Triangles, Collinear Points, Ortholine, Steiner-line, Orthocentric line.

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

Geometry Problem 1163.
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Isosceles Triangle, Congruence, Double Angle, Circle, Concyclic Points, Circumcenter, Perpendicular, Angle Bisector.

Geometry Problem 1145.
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Three Squares, Midpoints.

Geometry Problem 1143.
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Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points.

Geometry Problem 1142.
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Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter.

Geometry Problem 1140.
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Triangle, Circumcircle, Circle, Center, Collinear Points.

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