![Go Geometry: Quadrilaterals](../machu_picchu_h1_728x90.jpg)
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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![Inca Skull Surgery](../incas/inca_skull_surgeon_17.jpg) |
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![Square, Angle, 90 degrees, Proportion](../problem/p484_square_triangle_1.jpg) |
Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. |
![Triangle, Square, 90 degrees](../problem/p483_square_triangle_1.jpg) |
Problem 483.
Square, Angle, 90 degrees, Measurement. |
![Parallelogram, triangle, quadrilateral, area](../problem/p477_parallelogram_area_1.jpg) |
Problem 477.
Parallelogram, Triangle, Quadrilateral, Area. |
![Parallelogram, Diagonal, Circle](../problem/p474_parallelogram_circle_1.jpg) |
Problem 474.
Parallelogram, Diagonal, Circle, Vertex. |
![Parallelogram, Diagonal, Circle](../problem/p474_parallelogram_circle_1.jpg) |
Problem 474.
Parallelogram, Diagonal, Circle, Vertex. |
![Triangle, Area, Similarity](../problem/p472_similarity_area_1.jpg) |
Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
![Triangle area, Similarity](../problem/p470_similarity_area_1.jpg) |
Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity. |
![Square, Arc, 90 degrees](../problem/p465_square_90_degree_1.jpg) |
Proposed Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement. |
![Square, Arc, Angle](../problem/p464_square_arc_120_degree_.jpg) |
Proposed Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees. |
![Square, Circle, Arc, 90 Degrees](../education/p462_circle_square_radius.jpg) |
Proposed Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement. |
![Right triangle, Squares](../education/p459_right_triangle_square_.jpg) |
Proposed Problem 459.
Right triangle, Squares, Distance, Measurement. |
![Square, Circle, Tangent](../education/p458_triangle_circle_sector.jpg) |
Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent,
Measurement. |
![Rhombus, Circle](../education/p455_rhombus_circle_1.jpg) |
Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. |
![Vecten Point](../center/vecten_point_1.jpg) |
Vecten Outer Point.
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![Quadrilateral Area](../problem/p446_quadrilateral_area_1.jpg) |
Proposed Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts. |
![Problem 441: Quadrilateral, Area](../problem/p441_quadrilateral_area_1.jpg) |
Proposed Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. |
![Quadrilateral, transversal, ratio, similarity](../problem/p434_quadrilateral_ratio_1.jpg) |
Proposed Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity. |
![Problem 433: Quadrilateral, Area](../problem/p433_quadrilateral_area_1.jpg) |
Proposed Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity. |
![Problem 432: Trapezoid, Parallel, Similarity](../problem/p432_trapezoid_parallel_1.jpg) |
Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal. |
![Quadrilateral, Midpoint diagonals](../problem/p431_quadrilateral_similar_.jpg) |
Proposed Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal. |
![Geometry classes problem 425](../problem/p425_quadrilateral_angle_17.jpg) |
Proposed Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence. |
![Cyclic quadrilateral, Orthocenter, Parallelogram, Congruence](../problem/p413_cyclic_quadrilateral_1.jpg) |
Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency,
Congruence. |
![Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence](../problem/p408_cyclic_quadrilateral_1.jpg) |
Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence. |
![Quadrilateral, 60, 75, 135 degrees](../problem/p405_quadrilateral_60_75_17.jpg) |
Proposed Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint. |
![Isosceles Trapezoid, Concyclic Points](../problem/p337_concyclic_trapezoid_17.jpg) |
Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points. |
![Tangent circles, Square](../problem/p336_tangent_circles_17.jpg) |
Proposed Problem 336.
Two equal circles, a Common Tangent and a Square. |
![Cyclic Quadrilateral, Perpendiculars to Sides](../problem/p335_cyclic_quadrilateral_1.jpg) |
Proposed Problem 335.
Cyclic Quadrilateral, Perpendiculars to Sides. |
![Problem 334 Cyclic Quadrilateral, Perpendiculars to Diagonals](../problem/p334_cyclic_quadrilateral_1.jpg) |
Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals. |
![Elearning 331 Square, Inscribed Circle](../problem/p331_square_circle_17.jpg) |
Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points. |
![Cyclic quadrilateral](../problem/p330_cyclic_quadrilateral_1.jpg) |
Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter. |
![Elearning 324: Quadrilateral](../problem/p324_quadrilateral_concurre.jpg) |
Proposed Problem 324.
Quadrilateral with perpendicular diagonals, Concurrence. |
![Area of a triangle](../problem/p322_triangle_area_17.jpg) |
Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area. |
![Elearning 317 Right triangle](../problem/p317_triangle_squares_17.jpg) |
Proposed Problem 317.
Right triangle and Inscribed Squares. |
![Circular Segments, Inscribed Squares](../problem/p316_circle_squares_17.jpg) |
Proposed Problem 316.
Circular segments and Inscribed Squares. |
![Circle, Chord, Tangent, Perpendicular](../problem/p313_tangent_chord_17.jpg) |
Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean. |
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