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 problem-solving skills, and to foster a sense of community among those interested in geometry and mathematics more broadly.
	Geometry Problem 1600: When Cevians Cross: Find the Missing Area: A STEM Geometry Challenge Share Your Solution Here
	Geometry Problem 1599: Four Equal Squares, One Right Triangle: What’s the Ratio?: A STEM Geometry Challenge Share Your Solution Here
	Geometry Problem 1598: Inradius Ratio with Median BM in a Right-Angled Triangle: A STEM Geometry Challenge Share Your Solution Here
	Geometry Problem 1597: Circle-Triangle Intersection Problem: A STEM Geometry Challenge Share Your Solution Here
	Geometry Problem 1596: Triangle Projections: Unraveling the DE Projection with Equal Angles!: A STEM Geometry Challenge Share Your Solution Here
	Geometry Problem 1595: The Rectangle's Area and Its Relationship with Three Strategic Triangles – A STEM Perspective Share Your Solution Here
	Geometry Problem 1586: Unveiling a Unique Area Relationship in Three Equilateral Triangles Share Your Solution Here
	Geometry Problem 1585: Discover how a triangle's incircle reveals the secret of harmonious convergence Share Your Solution Here
	Geometry Problem 1584: Proving a Ratio Involving Incircle and Angle Bisector Unveiling a Potentially Unexplored Geometric Relationshp. Share Your Solution Here
	Geometry Problem 1583: Prove Lines CK and BL are Parallel. Share Your Solution Here
	Geometry Problem 1577: Prove that in triangle ABC, segment AB equals the sum of segments BD and CD, with given angles and congruent segments Share Your Solution Here
	Geometry Problem 1575: Prove an Angle Bisector in a Triangle Involving an Altitude, Midpoint, and Excircle Share Your Solution Here
	Geometry Problem 1552: Exploring Angle C in Triangle ABC with Given Angle A and Side Lengths Share Your Solution Here
	Dynamic Geometry 1475. Share Your Solution Here Clifford Intersecting Circles Theorem, Step-by-step Illustration, GeoGebra, iPad.
	Dynamic Geometry 1473. Share Your Solution Here Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration.
	Dynamic Geometry 1471. Share Your Solution Here Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration.
	Dynamic Geometry 1470. Share Your Solution Here Tangential Quadrilateral, Incircles, Tangent, Parallel, Rhombus, Step-by-step Illustration.
	Geometry Problem 1462. Share Your Solution Here Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals, Collinear Points.
	Dynamic Geometry 1460. Share Your Solution Here Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals, Collinear Points, Step-by-step Illustration using GeoGebra.
	Geometry Problem 1458. Share Your Solution Here Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra.
	Dynamic Geometry 1451. Share Your Solution Here Orthopole of a Line. Step-by-step illustration using GeoGebra.
	Dynamic Geometry 1450. Share Your Solution Here Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters. Step-by-step illustration using GeoGebra.
	Dynamic Geometry 1449. Share Your Solution Here Salmon Line. Step-by-step illustration using GeoGebra.
	Dynamic Geometry Problem 1444. Share Your Solution Here The Asymmetric Propeller Theorem, Equilateral Triangles, Midpoints. Using GeoGebra.
	Geometry Problem 1437. Share Your Solution Here Intersecting Circles, Common Tangent, Equal Product, Art, Poster, Typography, iPad Apps.
	Geometry Problem 1435. Share Your Solution Here Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points, Poster, Typography, iPad Apps.
	Geometry Problem 1434. Share Your Solution Here Equilateral Triangle, Tangent Circles, Tangent Lines, Arithmetic Mean, Measurement, Poster, Typography, iPad Apps.
	Geometry Problem 1431. Share Your Solution Here Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles, Poster, Conformal Mapping.
	Geometry Problem 1417. Share Your Solution Here Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector, Tangent Lines, Tangent Circles.
	Geometry Problem 1401. Share Your Solution Here Right Triangle with three circles on the sides, Isosceles, Diameter, Center, Tangent, Congruence.
	Geometry Problem 1396. Share Your Solution Here Triangle with three rectangles on the sides, Vertices, Perpendicular lines, Concurrency.
	Geometry Problem 1385. Share Your Solution Here Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points.
	Geometry Problem 1376. Share Your Solution Here Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines.
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Last updated: Apr 26, 2025