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Geometry Problems - Table of Content (Page 1 of 6). Activate Flash plug-in or JavaScript and reload to view the Math Geometry Proposed
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Geometry Problems - Table of Content (Page 1 of 6)
NCTM Processes: Problem Solving, Reasoning
& Proof, Communications, Connections, and Representation
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Problem
517.
Right Triangle, Six Squares, Areas. |
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Problem
516.
Triangle, Cevian, Congruence, Angles. |
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Problem
515.
Triangle, Double Angle, Altitude, Measure. |
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Problem
514.
Triangle, Five Squares, Line, Area. |
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Problem
513.
Triangle, Double Angle, Exterior Angle Bisector, Measure. |
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Problem
512.
Triangle with three squares and concurrency. |
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Problem
511.
Triangle, Double Angle, Angle Bisector, Measure. |
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Problem
510.
Triangle, Three Squares, Midpoints, Concurrency. |
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Problem
509.
Triangle, 120 Degrees, Angles, Congruence, Mind Map. |
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Problem
508.
Triangle with three Squares, Four triangle of equal Area. |
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Problem
507.
Triangle, Interior Point, 120 Degrees, Congruence, Angle. |
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Problem
506.
Triangle with Three Squares, Center, Midpoint, Perpendicular. |
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Problem
505.
Right Triangle, Cevian, Sum of Segments, Angles. |
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Problem
504.
Equilateral Triangle, Angles, 45, 60 Degrees. |
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Problem
503.
Triangle with Three Squares, Perpendicular, Congruence, Concurrency. |
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Problem
502.
Triangle, Two Squares, Midpoint, Perpendicular, Half the measure. |
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Problem
501.
Triangle, Two Squares, Center, Midpoint, another Square. |
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Problem
500.
Circle, Diameter, Chord, Perpendicular, Measure. |
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Problem 499.
Triangle, Two Squares, Perpendicular. |
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Problem 498.
Triangle, Angle Bisector, Double Angle, Measure. |
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Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees. |
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Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors. |
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Problem 495.
Triangle, 120 Degrees, Angle Bisectors. |
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Problem 494.
Circular Sector, 90 Degrees, Semicircle, Chord, Parallel. |
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Problem 493.
Right Triangle, Circumcircle, Perpendicular, Chord. |
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Problem 492.
Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel. |
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Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius. |
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Problem 490.
Tangent Circles, Arc, Radius, Circular Sector, Area. |
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Problem 489.
Parallelogram, Triangle, Quadrilateral, Area. |
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Problem 488.
Triangle, Cevian, Concurrency, Circle, Circumcircle. |
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Problem 487.
Intersecting
Circles, Area, Diameter, Parallel, 90 Degrees. |
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Problem 486.
Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence. |
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Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. |
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Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. |
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Problem 483.
Square, Angle, 90 degrees, Measurement. |
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Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points. |
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Problem 481.
Triangle, Altitude, Cevian, Perpendicular, Angle. |
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Problem 480.
Triangle, Circle, Center, Altitude, Angle, Circumcenter. |
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Problem 479.
Triangle, Cevians, Concurrency, Transversal, Proportion. |
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Problem 478.
Triangle, Sides, Circumradius, Circumcenter, Circumcircle. |
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Problem 477.
Parallelogram, Triangle, Quadrilateral, Area. |
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Problem 476.
Triangle, Circumcenter, Circumcircle, Angles. |
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Problem 475.
Tangent Circles, Secant, Tangent, Parallel. |
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Problem 474.
Parallelogram, Diagonal, Circle, Vertex. |
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Problem 473.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
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Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
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Problem 471.
Triangle, Parallel, Side, Concurrency, Area, Similarity. |
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Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
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Problem 469.
Isosceles triangle, Midpoint, Transversal, Congruence. |
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Problem 468.
Circle, Chord, Midpoint, Congruence, Angle. |
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Problem 467.
Concentric Circles, Chord, Tangent, Congruence, Measurement. |
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Proposed
Problem 466.
Concentric Circles, Secant, Congruence, Measurement. |
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Proposed
Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement. |
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Proposed
Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees. |
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Proposed
Problem 463.
Three Concentric Circles, Secant, Tangent, Triangle, Area. |
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Proposed
Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement. |
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Proposed
Problem 461.
Three Circles, Tangent, Right Angle, Center, Distance, Measurement. |
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Proposed
Problem 460.
Circle, Tangent, Perpendicular, Radius, Distance, Measurement. |
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Proposed
Problem 459.
Right triangle, Squares, Distance, Measurement. |
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Proposed
Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement. |
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Proposed
Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius. |
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Proposed
Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear. |
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Proposed
Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. |
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Proposed
Problem 454.
Triangle, Incircle, Inradius, Tangent, Circle, Radius. |
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Proposed
Problem 453.
Intersecting Circles, Tangent, Circular Segment, Congruence, Area. |
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Proposed
Problem 452.
Triangle, Circle, Tangent, Proportional Segments. |
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Proposed
Problem 451.
Triangle, Median, Congruence, Proportional Segments. |
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Proposed
Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments. |
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Proposed
Problem 449.
Congruent Tangent Circles, Diameter, Sagitta, Arc, Perpendicular, Chord. |
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Proposed
Problem 448.
Tangent Circles, Diameter, Perpendicular, Chord. |
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Proposed
Problem 447.
Complete Quadrilateral, Inradii, Exradii, Sides. |
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Proposed
Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts. |
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Related Geometry Jobs Topics:
Design,
Construction,
Architecture,
Interior design,
Furniture,
Engineer,
Physicist,
Astronomer,
Plumbing,
Cabling,
Lighting,
Acoustic,
Roads,
Maps,
Navigational system,
GPS,
CAD,
Gardening,
Computer games,
Robotics,
Computational geometry,
Medical imaging,
Structural engineering,
Protein modeling,
Surveyor,
Finite element analysis,
Stock market,
Programmer,
Java,
Teacher,
Landscaper,
Set Design,
Graphic designer,
Digital animator,
Art. |
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Proposed
Problem 445.
Three Tangent Circles, Tangency Points, Circumradius. |
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Proposed
Problem 444.
Internally Tangent circles, Secant line, Chords, Angles, Congruence. |
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Proposed
Problem 443.
Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles. |
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Proposed
Problem 442.
Triangle, Median, Cevian, Transversal, Congruent Angles. |
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Proposed
Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. |
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Proposed
Problem 440.
Triangle, Incircle, Incenter, Angle Bisector, Tangency Points, Circle, Angles. |
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Proposed
Problem 439.
Isosceles triangle, Cevian, Incenter, Angles, Circle. |
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Proposed
Problem 438.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement,
Parallel lines. |
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Proposed
Problem 437.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement. |
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Proposed
Problem 436.
Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement. |
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Distance between the Incenter and the Centroid of a Triangle.
Formula in terms of the sides a,b,c. |
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Proposed
Problem 435.
Triangle, Incircle, Inradius, Congruent circles, tangent, Measurement. |
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Proposed
Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity. |
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Proposed
Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. |
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Proposed
Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal. |
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Proposed
Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal. |
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Proposed
Problem 430.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Areas. |
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Proposed
Problem 429.
Circumscribed and Inscribed Regular Pentagon, Perpendicular, Measurement. |
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Proposed
Problem 428.
Quadrant of a circle, Square, Angle bisector, Measurement. |
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Proposed
Problem 427.
Triangle, Two Altitudes, Square of a Side. |
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Euclid's Elements Book I, Proposition 5: (Pons Asinorum) Isosceles triangles |
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Euclid's Elements Book I, Proposition
6: Converse of I.5
"Proof by contradiction," also called reductio ad absurdum. |
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Proposed
Problem 426.
Triangle, Circumradius, Circumcenter, concurrent Cevians. |
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Euclid's Elements Book I, Proposition 4: (Side-Angle-Side SAS) |
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Proposed
Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence. |
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Proposed
Problem 424.
Triangle, Cevian, Angle, 90 degree, Congruence. |
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Proposed
Problem 423.
Triangle, 30, 40 degree, Angle, Congruence. |
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Proposed
Problem 422.
Triangle, 24, 30 degree, Angle, Congruence. |
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Proposed
Problem 421.
Right Triangle, Cevian, Angles, Measurement. |
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Euclid's Elements Book I, Proposition 3: Given two unequal straight lines, to cut off from the greater a straight line equal to the less |
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Euclid's Elements Book I, Proposition 2: To place at a given point (as an extremity) a straight line equal to a given straight line |
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Euclid's Elements Book I, Proposition 1:
On a given finite line to construct an equilateral triangle |
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Proposed
Problem 420.
Triangle, Altitude, Angles, Sides, Measurement. |
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Proposed
Problem 419.
Triangle, Cevian, Incircle, Excircle, Inradius, Exradius. |
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Proposed
Problem 418.
Triangle, Incircle, Inradius, Equal Tangent circles, Radius. |
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Related Geometry Topics:
Computational,
Manifold,
Topology,
String theory,
Coordinate,
Analytical,
Trigonometry,
Projective,
Algebraic,
Differential,
Symplectic,
Lie theory,
Fractal,
Dimension theory,
Computer
graphics,
Atiyah,
Gromov,
Perelman.
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Proposed
Problem 417.
Tangent circles, Tangent lines, Angles. |
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Routh's Theorem 1.
Triangle, Cevians, Ratio of Areas. |
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Routh's Theorem 2.
Triangle, Cevians, Ratio of Areas. |
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Routh's Theorem 3.
Triangle, Cevians, Ratio of Areas. |
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Routh's Theorem 4.
Triangle, Cevians, Ratio of Areas. |
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Proposed
Problem 416.
Triangle, Cevians, Trisectors, Area. |
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Proposed
Problem 415.
Right
Triangle, Cevian, Angles, Congruence. |
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Proposed
Problem 414.
Triangle, Angles, Altitude, Median, Congruence. |
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Proposed
Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency, Congruence. |
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Proposed
Problem 412.
Triangle, Cevian, Angles, Congruence. |
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Proposed
Problem 411.
Triangle, Median, Angles. |
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Proposed
Problem 410.
Two Regular Pentagons, Angle.
Puzzle: 22 piece polygons. |
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Proposed
Problem 409.
Quadrilateral, Diagonals, Perpendicular, Congruence. |
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Proposed
Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence. |
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Proposed
Problem 407.
Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center. |
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Proposed
Problem 406.
Right triangle, 15 degrees, Midpoints, Congruence. |
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Proposed
Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint. |
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Proposed
Problem 404.
External Equilateral triangles, Congruent and Concurrent Lines. |
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Proposed
Problem 403.
Circular sector, 90 degrees, Circle, Semicircle, Area. |
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Proposed
Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. |
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Proposed
Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.
Puzzle
based on poblem 401. |
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Proposed
Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence. |
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Proposed
Problem 399.
Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence. |
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Proposed
Problem 398.
Parallelogram, Area, Similarity, Congruence. |
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Proposed
Problem 397.
Triangle, Altitude, Midpoints, Congruence. |
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Proposed
Problem 396.
Square, Angle Trisectors, Congruence, Area. |
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Proposed
Problem 395.
Square, 15 Degree, Equilateral triangle. |
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Proposed
Problem 394.
Square, 90 Degree Arc, Diagonal, Congruence. |
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Proposed
Problem 393.
Triangle, Orthocenter, Circumcircles, Congruence, Collinear. |
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Proposed
Problem 392.
Triangle, Parallel lines, Concurrent lines. |
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Proposed
Problem 391.
Triangle, Parallel lines, Collinear points. |
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Proposed
Problem 390.
Triangle, Parallel lines, Collinear points. |
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Proposed
Problem 389.
Triangle, Parallel lines, Harmonic Mean. |
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Proposed
Problem 388.
Triangle, Angle bisector, Perpendicular, Parallel. |
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Proposed
Problem 387.
Triangle, Angle bisector, Perpendicular, Concyclic points. |
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Proposed
Problem 386.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter,
Congruence. |
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Proposed
Problem 385.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
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Proposed
Problem 384.
Triangle, Angle bisector, Perpendicular, Parallel, Semiperimeter. |
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Proposed
Problem 383.
Concave
Quadrilateral, Angle Bisectors, Semi-difference of Angles. |
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Proposed
Problem 382.
Concave
Quadrilateral, Angle Bisectors, Semi-sum of Angles. |
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Proposed
Problem 381.
Quadrilateral, Diagonals, Angle Bisectors, Semi-sum of Angles. |
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Proposed
Problem 380.
Triangle, Excenter, Parallel to a side, Angle, Congruence. |
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Proposed
Problem 379.
Triangle, Excenter, Parallel to a side, Angle, Congruence. |
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Proposed
Problem 378.
Triangle, Incenter, Parallel to a side, Angle, Congruence. |
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Proposed
Problem 377.
Triangle, Internal Angle Bisector, Altitude. |
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Proposed
Problem 376.
Triangle, Excenter, Internal and External Angle Bisectors. |
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Proposed
Problem 375.
Triangle, Excenter, External Angle Bisectors. |
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Proposed
Problem 374.
Triangle, Incenter, Internal Angle Bisectors. |
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Proposed
Problem 373.
Square, Inscribed Circle, Diagonal, Perpendicular, Angle. |
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Proposed
Problem 372.
Circles, Common Internal and External Tangent, Angles. |
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SAT
Math Practice 1,
Video.
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Proposed
Problem 371.
Square, Inscribed circle, Triangle, Area. |
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Mind Map of How to Solve Problems
George Pólya's 1945 book How to Solve It is a book describing
methods of problem solving.
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A great discovery solves a great problem, but there
is a grain
of discovery in the solution of any problem.
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