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The Incas used trapezoids for all their windows and doors, which withstand
earthquakes well.
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Quadrilaterals: Theorems and Problems
3
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Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
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Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle. |
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Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram. |
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Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence. |
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Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian. |
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Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees. |
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Geometry Problem
748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Metric Relations. |
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Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees. |
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Geometry Problem 695.
Triangle, Quadrilateral, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. |
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Geometry Problem 628
Cyclic Quadrilateral, Congruence, Parallel Lines. |
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Geometry Problem 627
Cyclic Quadrilateral, Congruence, Concyclic Points. |
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Geometry Problem
615
Right Triangle with a Square, Diagonals, Center, Area of Quadrilateral. |
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Geometry Problem
586.
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency. |
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Problem
585.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency. |
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Problem
584.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms. |
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Problem
583.
Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas. |
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Problem
582.
Quadrilateral, Diagonals, Incenters, Metric Relations. |
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Problem
579.
Quadrilateral, Diagonals, Triangles, Areas. |
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Problem
556.
Quadrilateral, Diagonal, Angles, Auxiliary Lines. |
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Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area. |
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Puzzle: Geometry Problems 161 - 170. 22 piece polygons.
Area, Triangle, Parallelogram, Trapezoid, Pentagon, Diagonal, Midpoint,
Octagon. |
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Problem
537.
Rectangle, Midpoints, Diagonal, Angle Bisector. |
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Problem 530.
Cyclic Quadrilateral, Diagonal, Diameter, Perpendicular, Congruence. |
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Problem 529.
Right Trapezoid, Circle, Diameter. |
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Problem 520.
Triangle with six Squares, Ratio, Area. |
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Problem 519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area. |
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Problem 518.
Parallelogram, Five Squares, Centers, 45 Degrees, Measure. |
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Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. |
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Problem 517.
Right Triangle, Six Squares, Areas. |
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Problem 514.
Triangle, Five Squares, Line, Area. |
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Geometry Problems 181 - 190.
Right Triangle, Trapezoid, Square, Intersecting Circles, Circular
Sector, 90 Degrees, Angles, Trisection, Hypotenuse, Distance, Incenter,
Altitude, Diagonal, 45 Degrees, Tangent, Chord, Perpendicular. |
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Problem 512.
Triangle with three squares and concurrency. |
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Problem 510.
Triangle, Three Squares, Midpoints, Concurrency. |
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Geometry Problems 151 - 160.
Triangle, Quadrilateral, Area, Trisection, Circle, Proportion, Diagonal,
Chord,Inradius, Circumradius, Exradius, Euler, distance, Incenter,
Circumcenter, Excenter, Incircle, Circumcircle. |
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Problem 508.
Triangle with three Squares, Four triangle of equal Area. |
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Problem 506.
Triangle with Three Squares, Center, Midpoint, Perpendicular. |
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Geometry Problems 141 - 150.
Triangle, Quadrilateral, Parallelogram, Incircle, Incenter, Tangent,
Parallel, Perimeter, Area, Inradius, Circumradius, Midpoint, Varignon,
Trisection. |
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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 499.
Triangle, Two Squares, Perpendicular. |
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Problem 499.
Triangle, Two Squares, Perpendicular. |
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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 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 489.
Parallelogram, Triangle, Quadrilateral, Area. |
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Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. |
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