Geometry Problems: High School, College



Geometry Problems 401500




Open Geometry Problems  Index 

Geometry Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector,
Congruence.
Puzzle
based on poblem 401. 

Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. 

Proposed Problem 403.
Circular sector, 90 degrees, Circle, Semicircle, Area. 

Proposed Problem 404.
External Equilateral triangles, Congruent and Concurrent Lines. 

Proposed
Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint. 

Proposed Problem 406.
Right triangle, 15 degrees, Midpoints, Congruence. 

Proposed Problem 407.
Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center. 

Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence. 

Proposed
Problem 409.
Quadrilateral, Diagonals, Perpendicular, Congruence. 

Proposed Problem 410.
Two Regular Pentagons, Angle.
Puzzle: 22 piece polygons. 

Proposed Problem
411.
Triangle, Median, Angles. 

Proposed
Problem 412.
Triangle, Cevian, Angles, Congruence. 

Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency,
Congruence. 

Proposed Problem 414.
Triangle, Angles, Altitude, Median, Congruence. 

Proposed Problem 415.
Right Triangle, Cevian, Angles, Congruence. 

Proposed
Problem 416.
Triangle, Cevians, Trisectors, Area. 

Proposed Problem
417.
Tangent circles, Tangent lines, Angles. 

Proposed Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius. 

Proposed Problem 419.
Triangle, Cevian, Incircle, Excircle, Inradius, Exradius. 

Proposed Problem 420.
Triangle, Altitude, Angles, Sides, Measurement. 

Proposed Problem 421.
Right Triangle, Cevian, Angles, Measurement. 

Proposed
Problem 422.
Triangle, 24, 30 degree, Angle, Congruence. 

Proposed Problem 423.
Triangle, 30, 40 degree, Angle, Congruence. 

Proposed Problem 424.
Triangle, Cevian, Angle, 90 degree, Congruence. 

Proposed Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence. 

Proposed Problem 426.
Triangle, Circumradius, Circumcenter, concurrent Cevians. 

Proposed Problem 427.
Triangle, Two Altitudes, Square of a Side. 

Proposed Problem 428.
Quadrant of a circle, Square, Angle bisector, Measurement. 

Proposed Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular,
Measurement. 

Proposed Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas. 

Proposed Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal. 

Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal. 

Proposed Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. 

Proposed Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity. 

Proposed Problem 435.
Triangle, Incircle, Inradius, Congruent circles, tangent, Measurement. 

Proposed Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence,
Measurement. 

Proposed Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence,
Measurement. 

Proposed Problem 438.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence,
Measurement, Parallel lines. 

Proposed Problem 439.
Isosceles triangle, Cevian, Incenter, Angles, Circle. 

Proposed Problem 440.
Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle,
Angles. 

Proposed Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. 

Proposed Problem 442.
Triangle, Median, Cevian, Transversal, Congruent Angles. 

Proposed Problem 443.
Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent
line, Angles. 

Proposed
Problem 444.
Internally Tangent circles, Secant line, Chords, Angles, Congruence. 

Proposed Problem 445.
Three Tangent Circles, Tangency Points, Circumradius. 

Proposed Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts. 

Proposed Problem 447.
Complete Quadrilateral, Inradii, Exradii, Sides. 

Proposed Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord. 

Proposed Problem 449.
Congruent Tangent Circles, Diameter, Sagitta, Arc, Perpendicular, Chord. 

Proposed Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments. 

Proposed Problem 451.
Triangle, Median, Congruence, Proportional Segments. 

Proposed Problem 452.
Triangle, Circle, Tangent, Proportional Segments. 

Proposed Problem 453.
Intersecting Circles, Tangent, Circular Segment, Congruence, Area. 

Proposed Problem 454.
Triangle, Incircle, Inradius, Tangent, Circle, Radius. 

Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. 

Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear. 

Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius. 

Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent,
Measurement. 

Proposed
Problem 459.
Right triangle, Squares, Distance, Measurement. 

Proposed Problem 460.
Circle, Tangent, Perpendicular, Radius, Distance, Measurement. 

Proposed Problem 461.
Three Circles, Tangent, Right Angle, Center, Distance, Measurement. 

Proposed Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement. 

Proposed Problem 463.
Three Concentric Circles, Secant, Tangent, Triangle, Area. 

Proposed Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees. 

Proposed
Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement. 

Proposed Problem 466.
Concentric Circles, Secant, Congruence, Measurement. 

Problem 467.
Concentric Circles, Chord, Tangent, Congruence, Measurement. 

Problem 468.
Circle, Chord, Midpoint, Congruence, Angle. 

Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence. 

Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. 

Problem 471.
Triangle, Parallel, Side, Concurrency, Area, Similarity. 

Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. 

Problem 473.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. 

Problem 474.
Parallelogram, Diagonal, Circle, Vertex. 

Problem
475.
Tangent Circles, Secant, Tangent, Parallel. 

Problem 476.
Triangle, Circumcenter, Circumcircle, Angles. 

Problem 477.
Parallelogram, Triangle, Quadrilateral, Area. 

Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle. 

Problem 479.
Triangle, Cevians, Concurrency, Transversal, Proportion. 

Problem 480.
Triangle, Circle, Center, Altitude, Angle, Circumcenter. 

Problem 481.
Triangle, Altitude, Cevian, Perpendicular, Angle. 

Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points. 

Problem 483.
Square, Angle, 90 degrees, Measurement. 

Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. 

Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. 

Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence. 

Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees. 

Problem 488.
Triangle, Cevian, Concurrency, Circle, Circumcircle. 

Problem 489.
Parallelogram, Triangle, Quadrilateral, Area. 

Problem 490.
Tangent Circles, Arc, Radius, Circular Sector, Area. 

Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius. 

Problem 492.
Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel. 

Problem 493.
Right Triangle, Circumcircle, Perpendicular, Chord. 

Problem 494.
Circular Sector, 90 Degrees, Semicircle, Chord, Parallel. 

Problem 495.
Triangle, 120 Degrees, Angle Bisectors. 

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors. 

Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees. 

Problem 498.
Triangle, Angle Bisector, Double Angle, Measure. 

Problem 499.
Triangle, Two Squares, Perpendicular. 

Problem 500.
Circle, Diameter, Chord, Perpendicular, Measurement. 


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