Geometry Problems: High School, College



Geometry Problems 301400




Open Geometry Problems  Index 

Geometry Problem 301.
Tangents to a circle, Secants, Square. 

Proposed Problem 302.
Triangle, Angle bisector of 60 degrees. 

Proposed Problem 303.
Triangle, Angle bisector of 90 degrees. 

Proposed Problem 304.
Triangle, Angle bisector of 120 degrees. 

Proposed
Problem 305.
Square, Triangles, Angles, Sides. 

Proposed
Problem 306.
Square, Triangles, Angles, Sides. 

Proposed
Problem 307.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle. 

Proposed Problem 308.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle. 

Proposed
Problem 309.
Regular Nonagon or Enneagon, Diagonals, Side. 

Proposed Problem 310.
Circle Inscribed in a Semicircle, 45 Degrees Angle. 

Proposed Problem 311.
Circle Inscribed in a Semicircle, Chord, Diameter. 

Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents. 

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean. 

Proposed Problem 314.
Tangent circles, Common external tangent line, Geometric Mean. 

Proposed Problem 315.
Three Tangent circles, Common external tangent line, Geometric Mean. 

Proposed Problem 316.
Circular segments and Inscribed Squares. 

Proposed Problem 317.
Right triangle and Inscribed Squares. 

Proposed Problem 318.
A Scalene triangle, Altitudes, Collinear points. 

Proposed Problem 319.
Triangle, Altitudes, Perpendiculars, Collinear points. 

Proposed Problem 320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points. 

Proposed Problem 321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity. 

Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area. 

Proposed Problem 323.
Triangle, Incenter, Circumcenter, Equal circles, Collinearity. 

Proposed Problem 324.
Quadrilateral with perpendicular diagonals, Concurrence. 

Proposed Problem 325.
Isosceles triangle, Altitude, Cevian, Incircle, Excircle. 

Proposed Problem 326.
Equilateral triangle, Semicircle, Equal arcs. 

Proposed Problem 327.
Right triangle Area, Incircle, Circumcircle, Square. 

Proposed Problem 328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint. 

Proposed Problem 329.
Triangle, Altitudes, Circle, Diameter, Concyclic points. 

Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter. 

Proposed
Problem 331.
Square, Point on the Inscribed Circle, Tangency Points. 

Proposed Problem 332.
Cyclic quadrilateral, Ratio of diagonals, Similarity. 

Proposed Problem 333.
Circle inscribed in a semicircle, Perpendicular to the common tangent. 

Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals. 

Proposed Problem 335.
Cyclic Quadrilateral, Perpendiculars to Sides. 

Proposed
Problem 336.
Two equal circles, a Common Tangent and a Square. 

Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points. 

Proposed Problem 338.
Triangle, Circumcircle, Inscribed Circle, Exterior angle bisector,
Concyclic points. 

Proposed Problem 339.
Triangle, Angle Bisectors, Perpendiculars, Distances. Interior Point. 

Proposed Problem 340.
Triangle, Angle Bisectors, Perpendiculars, Distances. Exterior Point. 

Proposed Problem 341.
Triangle, Inscribed circle, Tangent, Semiperimeter. 

Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter. 

Proposed Problem 343.
Hexagon, Inscribed circle, Tangent, Semiperimeter. 

Proposed Problem 344.
Quadrilateral, Extension of sides, Circle, Tangent, Semiperimeter. 

Proposed Problem 345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter. 

Proposed Problem 346.
Equal circles, Tangents, Hexagon, Semiperimeter. 

Proposed Problem 347.
Triangle, Altitude, Perpendicular, Circle, Concyclic points. 

Proposed
Problem 348.
Circles, Common External Tangents, Common Internal Tangent. 

Proposed Problem 349.
Triangle, Cevian, Incircles, Tangents, Tangency Point. 

Proposed Problem 350.
Triangle, Cevian, Incircles, Tangents, Tangency Point, Angles. 

Proposed Problem 351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential
quadrilateral. 

Proposed Problem 352.
Tangential quadrilateral, Incircles, Common tangent, Circumscribable or
Tangential quadrilateral. 

Proposed Problem 353.
Tangential quadrilateral, Diagonals, Incircles, Inradii. 

Proposed
Problem 354.
Rhombus, Square, 45 degrees. 

Proposed Problem 355.
Circles, Common external tangent, Concyclic points. 

Proposed Problem
356.
Square, Point inside, Triangles, Area. 

Proposed Problem 357.
Square, Exterior point, Triangles, Area. 

Proposed Problem 358.
Isosceles triangle 808020, Circle, Angles, Congruence. 

Proposed Problem 359.
Cyclic quadrilateral, Angle bisector, Rhombus. 

Proposed Problem
360.
Area of a triangle, Curvilinear triangles, Circles, Diameters. 

Proposed
Problem 361.
Right triangle, Incircle, Incenter, Tangency points, Angle. 

Proposed
Problem 362.
Circle, Chord, Perpendicular, Equal chords. 

Proposed Problem 363.
Right triangle, Congruence, Angles. 

Proposed Problem
364.
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle,
Area. 

Proposed
Problem 365.
Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence. 

Proposed
Problem 366.
Scalene triangle, Circumcircle, Angles, 60 Degrees, Equilateral
triangle. 

Proposed
Problem 367.
Square, Angle, 45 degrees, Pythagoras, Congruence, Similarity. 

Proposed Problem 368.
Triangle, 120 degrees, Angle bisectors, Perpendicular.
Puzzle problem 368. 

Proposed
Problem 369.
Intersecting circles, Chord, Center, Angle, Congruence. 

Proposed
Problem 370.
Triangle with squares, Circumcircles, Tangent circles. 

Proposed
Problem 371.
Square, Inscribed circle, Triangle, Area. 

Proposed
Problem 372.
Circles, Common Internal and External Tangent, Angles. 

Proposed
Problem 373.
Square, Inscribed Circle, Diagonal, Perpendicular, Angle. 

Proposed Problem 374.
Triangle, Incenter, Internal Angle Bisectors. 

Proposed Problem 375.
Triangle, Excenter, External Angle Bisectors. 

Proposed Problem 376.
Triangle, Excenter, Internal and External Angle Bisectors. 

Proposed Problem 377.
Triangle, Internal Angle Bisector, Altitude. 

Proposed Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence. 

Proposed Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence. 

Proposed Problem 380.
Triangle, Excenter, Parallel to a side, Angle, Congruence. 

Proposed
Problem 381.
Quadrilateral, Diagonals, Angle Bisectors, Semisum of Angles. 

Proposed Problem 382.
Concave Quadrilateral, Angle Bisectors, Semisum of Angles. 

Proposed Problem 383.
Concave Quadrilateral, Angle Bisectors, Semidifference of Angles. 

Proposed Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. 

Proposed Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. 

Proposed Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter,
Congruence. 

Proposed Problem 387.
Triangle, Angle bisector, Perpendicular, Concyclic points. 

Proposed Problem 388.
Triangle, Angle bisector, Perpendicular, Parallel. 

Proposed Problem 389.
Triangle, Parallel lines, Harmonic Mean. 

Proposed
Problem 390.
Triangle, Parallel lines, Collinear points. 

Proposed
Problem 391.
Triangle, Parallel lines, Collinear points. 

Proposed Problem 392.
Triangle, Parallel lines, Concurrent lines. 

Proposed Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear. 

Proposed Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence. 

Proposed Problem 395.
Square, 15 Degree, Equilateral triangle. 

Proposed Problem 396.
Square, Angle Trisectors, Congruence, Area. 

Proposed Problem 397.
Triangle, Altitude, Midpoints, Congruence. 

Proposed Problem 398.
Parallelogram, Area, Similarity, Congruence. 

Proposed
Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence. 

Proposed Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence. 


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