The Incas used trapezoids for all their windows and doors, which withstand
earthquakes well.
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Quadrilaterals: Theorems and Problems
4
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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 477.
Parallelogram, Triangle, Quadrilateral, Area. |
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Problem 474.
Parallelogram, Diagonal, Circle, Vertex. |
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Problem 474.
Parallelogram, Diagonal, Circle, Vertex. |
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Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
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Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
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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 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, 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 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. |
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Vecten Outer Point.
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Proposed Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts. |
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Proposed Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. |
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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 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence. |
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Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency,
Congruence. |
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Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence. |
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Proposed Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint. |
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Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points. |
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Proposed Problem 336.
Two equal circles, a Common Tangent and a Square. |
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Proposed Problem 335.
Cyclic Quadrilateral, Perpendiculars to Sides. |
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Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals. |
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Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points. |
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Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter. |
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Proposed Problem 324.
Quadrilateral with perpendicular diagonals, Concurrence. |
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Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area. |
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Proposed Problem 317.
Right triangle and Inscribed Squares. |
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Proposed Problem 316.
Circular segments and Inscribed Squares. |
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Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean. |
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