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Geometry: Open Problems
Geometry problems from the gogeometry.com website
awaiting submission of solutions. The ultimate goal may be to encourage
mathematical thinking and problem-solving skills, and to foster a sense of
community among those interested in geometry and mathematics more broadly.
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Geometry Problem 1600: When Cevians Cross: Find the Missing Area: A STEM Geometry Challenge
Share Your Solution Here |
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Geometry Problem 1599: Four Equal Squares, One Right Triangle: What’s the Ratio?: A STEM Geometry Challenge
Share Your Solution Here |
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Geometry Problem 1598: Inradius Ratio with Median BM in a Right-Angled Triangle: A STEM Geometry Challenge
Share Your Solution Here |
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Geometry Problem 1597: Circle-Triangle Intersection Problem: A STEM Geometry Challenge
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Geometry Problem 1596: Triangle Projections: Unraveling the DE Projection with Equal Angles!: A STEM Geometry Challenge
Share Your Solution Here |
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Geometry Problem 1595: The Rectangle's Area and Its Relationship with Three Strategic Triangles – A STEM Perspective
Share Your Solution Here |
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Geometry Problem 1586: Unveiling a Unique Area Relationship in Three
Equilateral Triangles
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Geometry Problem 1585: Discover how a triangle's incircle reveals the
secret of harmonious convergence
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Geometry Problem 1584: Proving a Ratio Involving Incircle and Angle
Bisector
Unveiling a Potentially Unexplored Geometric Relationshp.
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Geometry Problem 1583: Prove Lines CK and BL are Parallel.
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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 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,
Step-by-step Illustration, GeoGebra, iPad. |
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Dynamic Geometry 1473.
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Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line,
Step-by-step Illustration. |
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Dynamic Geometry 1471.
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Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points,
Concurrent Lines, Step-by-step Illustration. |
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Dynamic Geometry 1470.
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Tangential Quadrilateral, Incircles, Tangent, Parallel, Rhombus,
Step-by-step Illustration. |
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Geometry Problem 1462.
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Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides
and Diagonals, Collinear Points. |
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Dynamic Geometry 1460.
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Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals,
Collinear Points, Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1458.
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Triangle, Incircles, Excircle, Area, Step-by-step Illustration using
GeoGebra. |
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Dynamic Geometry 1451.
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Orthopole of a Line. Step-by-step illustration using GeoGebra. |
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Dynamic Geometry 1450.
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Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters.
Step-by-step illustration using GeoGebra. |
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Dynamic Geometry 1449.
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Salmon Line. Step-by-step illustration using GeoGebra. |
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Dynamic Geometry Problem 1444.
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The Asymmetric Propeller Theorem, Equilateral Triangles, Midpoints. Using
GeoGebra. |
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Geometry Problem 1437.
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Intersecting Circles, Common Tangent, Equal Product, Art, Poster,
Typography, iPad Apps. |
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Geometry Problem 1435.
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Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram,
Parallel Lines, Tangency Points, Poster, Typography, iPad Apps. |
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Geometry Problem 1434.
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Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean,
Measurement, Poster, Typography, iPad Apps. |
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Geometry Problem 1431.
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Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles,
Poster, Conformal Mapping. |
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Geometry Problem 1417.
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Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. |
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Geometry Problem 1401.
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Right Triangle with three circles on the sides, Isosceles, Diameter,
Center, Tangent, Congruence. |
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Geometry Problem 1396.
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Triangle with three rectangles on the sides, Vertices, Perpendicular
lines, Concurrency. |
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Geometry Problem 1385.
Share Your Solution Here
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector,
Midpoint, Collinear Points. |
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Geometry Problem 1376.
Share Your Solution Here
Isosceles Triangle, Interior Cevian, Excircles, Tangency Points,
Parallel Lines. |
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