
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 1580:
60Degree Triangle Challenge: Uncover AD Using Excenter and Circumcircle Clues.
Share Your Solution Here 

Geometry Problem 1579:
Involving perpendicular diameters, tangents, and triangle areas.
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Geometry Problem 1578:
Find the Area of a Bicentric Quadrilateral with Perpendicular Extensions of Opposite Sides!.
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Geometry Problem 1577:
Prove that in triangle ABC, segment AB equals the sum of segments BD and CD, with given angles and congruent segments.
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Geometry Problem 1575:
Prove an Angle Bisector in a Triangle Involving an Altitude, Midpoint, and Excircle
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Geometry Problem 1574:
Triangle with Three Circles through a Point and the Concyclicity of Six Intersection Points
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Geometry Problem 1571:
Prove that the intermediate angle in a Pythagorean Triple 72425 measures 74 degrees.
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Geometry Problem 1552: Exploring Angle C in Triangle ABC with Given Angle A and Side Lengths
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Dynamic Geometry 1475.
Share Your Solution Here Clifford Intersecting Circles Theorem, Stepbystep Illustration, GeoGebra, iPad. 

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

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

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

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

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

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

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

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

Dynamic Geometry 1449.
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Salmon Line. Stepbystep
illustration using GeoGebra. 

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

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

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

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

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

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

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

Geometry Problem 1396.
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Triangle with three rectangles on the sides, Vertices, Perpendicular lines, 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. 
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Last updated:
Sep 4, 2024





