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Geometry: Open Problems, High School, College, Tutoring
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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 1559:
Proving BC Bisects Segment DE. This geometry problem challenges students at high school and college levels.
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Geometry Problem 1558:
The midpoints of segments connecting corresponding vertices of equilateral triangles form an equilateral triangle.
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Geometry Problem 1555: Find Length of DE. The problem involves chords, tangent, circles, and intersections of line
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Geometry Problem 1554: Finding the Length of Side AB in Triangle ABC
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Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors
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Geometry Problem 1552: Exploring Angle C in Triangle ABC with Given Angle A and Side Lengths
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Geometry Problem 1541 Challenge: Unveiling BG Length in an Inscribed Quadrilateral with Harmonic Quaternary Insight for Academic Pursuit.
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Geometry Problem 1540: Solving for the Length of Chord in a Circle: Analyzing Intersections and Given Values for Academic Pursuits.
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Geometry
Problem 1502.
Share Your Solution Here Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. |
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Geometry
Problem 1498.
Share Your Solution Here Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points. |
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Geometry
Problem 1496.
Share Your Solution Here Triangle, Congruence, Isosceles, Double Angle, 30 Degrees. |
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Dynamic Geometry 1480.
Share Your Solution Here Japanese Theorem for Cyclic Polygon,
Sangaku, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra,
iPad. |
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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.
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Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines. |
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Last updated:
Nov 2, 2023
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