
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: Open Problems
Geometry problems from the gogeometry.com website awaiting submission of solutions.


Geometry
Problems  Visual Index.
Online Education, School, College. 

Geometry
Problem 1530: Unlock the Secrets of Geometric Angles: Calculate the Measurement of an Angle in a Square and Rectangle Figure Today!  A High School Challenge.
. 

Geometry
Problem 1529: Unlock the Mystery of Triangles: Solving for the Missing Angle with 1005030 Degree Angles and Cevian Lengths  A High School Challenge.
. 

Geometry
Problem 1528: Cracking the Circle Code: Unveiling the Tangent and Angle of an Inscribed Circle within a 90Degree Circular Sector.
. 

Geometry
Problem 1527: Discovering the Hidden Angle: Solving the Puzzle of Two Intersecting Circles.
. 

Geometry
Problem 1526: Mastering Geometry ProblemSolving: Discover the Distance Between Two Sides in a Parallelogram Using Bisectors and Distance Measures.
. 

Geometry
Problem 1525 and a Thematic Poem.
Unveiling the Secrets of an Equilateral Triangle in Right Triangle Geometry: Finding the Midpoint Distance between Segments. 

Geometry
Problem 1524 and a Thematic Poem.
Unlock the Mystery of Parallelograms: Discover the Length of Segment between the Intersecting Angle Bisectors. 

Geometry
Problem 1523 and a Thematic Poem.
Discover How to Calculate the Length of the Altitude in an Isosceles Triangle  Get Expert Geometry Tips Now!. 

Geometry
Problem 1522 and a Thematic Poem.
Unlocking the Angle Measure of a Triangle with Median and Doubled Side Lengths. 

Geometry
Problem 1521 and a Thematic Poem.
Unlock the Secret to Finding the Measure of an Angle in a Triangle with Two Sides as Diameters of Circles. 

Geometry
Problem 1520 and a Thematic Poem.
Discovering Distances in a Rectangle with an Exterior Point: A Geometry Challenge. 

Geometry
Problem 1519 and a Thematic Poem.
Discover the Length of a Segment in a Parallelogram using Midpoints and Parallel Lines. 

Geometry
Problem 1518 and a Thematic Poem.
Boost Your Geometry Skills: Solve for the Number of Sides in an Equiangular Polygon with an Interior Point and Bisected Angle. 

Geometry
Problem 1517 and a Thematic Poem.
Unlocking Triangle Side Length: Solving with a Median and Two Angles. Difficulty Level: High School. 

Geometry
Problem 1516 and a Thematic Poem.
Finding the Length of a Side in an Equiangular Hexagon with Given Three Side Lengths. Difficulty Level: High School. 

Geometry
Problem 1515 and a Thematic Poem.
Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School. 

Geometry
Problem 1514 and a Thematic Poem.
Discover the Secret to Finding Distances in Regular Hexagons with Interior Squares. Difficulty Level: High School. 

Geometry
Problem 1513 and a Thematic Poem.
Solving the base in a Right Trapezoid with Double Angle and Sum of Two
Sides. Difficulty Level: High School. 

Geometry
Problem 1512 and a Thematic Poem.
Finding the Length of a Segment in a Triangle with a Median and a Cevian with Given Ratio. Difficulty Level: High School. 

Geometry
Problem 1511 and a Thematic Poem.
Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. Difficulty Level: High School. 

Geometry
Problem 1510 and a Thematic Poem.
Congruence of Triangles, Perimeter, Measurement. Difficulty Level: High School. 

Geometry
Problem 1509 and a Thematic Poem.
Congruence of Triangles in a Trapezoid and a Square, Measurement. Difficulty Level: High School. 

Geometry
Problem 1508.
Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School. 

Geometry
Problem 1507.
Understanding Triangle Geometry: Double Angles, Altitudes, and Measurements. Difficulty Level: High School. 

Geometry
Problem 1506.
Parallel Rays, Angles, Corresponding, Alternate. Difficulty Level: High
School. 

Geometry
Problem 1505.
Parallel Rays, Angles, and Bisector, Corresponding, Alternate, Conjugate.
Difficulty Level: High School. 

Geometry
Problem 1504 and Poem.
Squares, Equilateral Triangle, Parallel, Angle. Difficulty Level: High
School. 

Geometry
Problem 1503.
Triangle, Incircle, Tangent, Congruence, Perpendicular. 

Geometry
Problem 1502.
Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. 

Geometry
Problem 1501.
Square, Exterior Point, Congruent Angles, Segment, Measurement. 

Geometry
Problem 1500.
Circle, Perpendicular, Tangent, Secant, Cyclic Quadrilateral, Parallel, Similarity, Measurement. 

Geometry
Problem 1499.
Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction. 

Geometry
Problem 1498.
Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points. 

Geometry
Problem 1497.
Triangle, Transversal, Same Ratio, Proportionality, Isosceles, Double Angle. 

Geometry
Problem 1496.
Triangle, Congruence, Isosceles, Double Angle, 30 Degrees. 

Geometry
Problem 1495.
Circle, Parallel Chords, 30 Degree Angle, Radius Squared. 

Geometry
Problem 1494.
Parallelogram, Midpoints, Octagon, Areas. 

Geometry
Problem 1493.
Four Squares, Parallelogram, Auxiliary Lines. 

Geometry
Problem 1492.
Right Triangle, Altitude, Incenters, Angle, Measurement. 

Geometry
Problem 1491.
Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement. 

Geometry
Problem 1490.
Triangle, Cevian, Incircle, Tangent, Measurement. 

Geometry
Problem 1489.
Right Triangle, Angle Bisectors, Perpendicular, Measurement. 

Geometry
Problem 1488.
Right Triangle, Altitude, Incircle, Tangent, Measurement. 

Geometry
Problem 1487.
Right Triangle, Altitude, Incircle, Tangent, Measurement. 

Geometry
Problem 1486.
Right Triangle, Altitude, Incircle, Tangent, Measurement. 

Geometry
Problem 1485.
Triangle, Orthocenter, Altitude, Circle, Diameter, Tangent, Measurement. 

Geometry
Problem 1484.
Right Triangle, Altitude, Incircles, Inradius, Measurement. 

Geometry
Problem 1483.
Isosceles Right Triangle, Excenter, Perpendicular, Measurement. 

Geometry
Problem 1482.
Right Triangle, Perpendicular, Double Angle, Measurement. 

Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Stepbystep Illustration. GeoGebra,
iPad. 

Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku, Triangulation, Nonintersecting Diagonals, Sum of Inradii, Invariant, Stepbystep Illustration. GeoGebra,
iPad. 

Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines, Stepbystep Illustration. GeoGebra,
iPad. 
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