![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
3
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![](complete_quadrilateral_170.jpg) |
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![Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines](../school-college/p855-triangle-angle-30-degrees-auxiliary-lines-1.jpg) |
Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines. |
![Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence](../school-college/p832-quadrilateral-triangle-70-70-40-angle-20-congruence-1.jpg) |
Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle. |
![Quadrilateral, Triangle, Angles, 30 degrees, Congruence](../school-college/p831-quadrilateral-diagonal-midpoint-parallelogram-1.jpg) |
Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram. |
![Quadrilateral, Triangle, Angles, 30 degrees, Congruence](../school-college/p830-triangle-quadrilateral-30-degree-congruence-1.jpg) |
Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence. |
![Geometry Problem Quadrilateral Midpoint](../school-college/p828-quadrilateral-midpoint-opposite-sides-diagonals-concurrent-1.jpg) |
Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian. |
![Quadrilateral, Triangle, Angles](../school-college/p819-quadrilateral-triangle-angle-30-degrees-1.jpg) |
Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees. |
![Quadrilateral, 90 Degrees, Perpendicular](../problem/p748-quadrilateral-90-degrees-perpendicular-metric-relations-1.jpg) |
Geometry Problem
748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Metric Relations. |
![Quadrilateral, 120 degrees, Angles](../geometry/p698_triangle_120_degrees_1.jpg) |
Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees. |
![Circle, Square, Area](../geometry/p695_triangle_angle_1.jpg) |
Geometry Problem 695.
Triangle, Quadrilateral, Angles, Auxiliary Construction, Congruence, Mind Map, Polya. |
![Cyclic quadrilateral, Congruence, Parallel](../problem/p628_cyclic_quadrilateral_1.jpg) |
Geometry Problem 628
Cyclic Quadrilateral, Congruence, Parallel Lines. |
![Cyclic quadrilateral, Congruence, and Concyclic Points](../problem/p627_cyclic_quadrilateral_1.jpg) |
Geometry Problem 627
Cyclic Quadrilateral, Congruence, Concyclic Points. |
![Triangle, Square, Area](../problem/p615_triangle_square_1.jpg) |
Geometry Problem
615
Right Triangle with a Square, Diagonals, Center, Area of Quadrilateral. |
![Cyclic quadrilateral, Circumcenter, Concurrency](../problem/p586_quadrilateral_circle_1.jpg) |
Geometry Problem
586.
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency. |
![Cyclic quadrilateral, Circumcenter, Concurrency](../problem/p585_quadrilateral_circle_1.jpg) |
Problem
585.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency. |
![Cyclic quadrilateral, Circumcenter, Parallelogram](../problem/p584_quadrilateral_circle_1.jpg) |
Problem
584.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms. |
![Quadrilateral, Circumcenters](../problem/p583_quadrilateral_circle_1.jpg) |
Problem
583.
Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas. |
![Quadrilateral, Diagonals, Incenters](../problem/p582_quadrilateral_circle_1.jpg) |
Problem
582.
Quadrilateral, Diagonals, Incenters, Metric Relations. |
![Quadrilateral, Diagonal, Area](../problem/p579_quadrilateral_area_1.jpg) |
Problem
579.
Quadrilateral, Diagonals, Triangles, Areas. |
![Quadrilateral, Diagonal, Angle](../problem/p556_quadrilateral_angle_1.jpg) |
Problem
556.
Quadrilateral, Diagonal, Angles, Auxiliary Lines. |
![Triangle, Three Squares, Altitude, Area](../problem/p521_triangle_squares_area.jpg) |
Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area. |
![Geometry problems 161-170](../math_geometry_online_courses/geometry_problems_161_170_1.jpg) |
Puzzle: Geometry Problems 161 - 170. 22 piece polygons.
Area, Triangle, Parallelogram, Trapezoid, Pentagon, Diagonal, Midpoint,
Octagon. |
![Rectangle, Midpoint, Diagonal, Angle Bisector](../problem/p537_rectangle_bisector_1.jpg) |
Problem
537.
Rectangle, Midpoints, Diagonal, Angle Bisector. |
![Cyclic quadrilateral, Diagonal, Diameter](../problem/p530_cyclic_quadrilateral_1.jpg) |
Problem 530.
Cyclic Quadrilateral, Diagonal, Diameter, Perpendicular, Congruence. |
![Right Trapezoid, Circle, Diameter](../problem/p529_trapezoid_circle_1.jpg) |
Problem 529.
Right Trapezoid, Circle, Diameter. |
![Triangle with six Squares](../problem/p520_six_squares_triangle.jpg) |
Problem 520.
Triangle with six Squares, Ratio, Area. |
![Triangle with Squares and Rectangles](../problem/p519_triangle_square_area_1.jpg) |
Problem 519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area. |
![Geometry problem 518](../problem/p518_parallelogram_square_1.jpg) |
Problem 518.
Parallelogram, Five Squares, Centers, 45 Degrees, Measure. |
![Rhombus, Circle](../education/p455_rhombus_circle_1.jpg) |
Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. |
![Right triangle with six squares](../problem/p517_squares_triangle_1.jpg) |
Problem 517.
Right Triangle, Six Squares, Areas. |
![Triangle with five squares](../problem/p514_squares_triangle_1.jpg) |
Problem 514.
Triangle, Five Squares, Line, Area. |
![Geometry problems 181-190](../math_geometry_online_courses/geometry_problems_181_190_1.jpg) |
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. |
![Triangle with squares problem](../problem/p512_triangle_square_1.jpg) |
Problem 512.
Triangle with three squares and concurrency. |
![Triangle with three squares](../problem/p510_triangle_square_1.jpg) |
Problem 510.
Triangle, Three Squares, Midpoints, Concurrency. |
![Geometry problems 151-160](../math_geometry_online_courses/geometry_problems_151_160.jpg) |
Geometry Problems 151 - 160.
Triangle, Quadrilateral, Area, Trisection, Circle, Proportion, Diagonal,
Chord,Inradius, Circumradius, Exradius, Euler, distance, Incenter,
Circumcenter, Excenter, Incircle, Circumcircle. |
![Triangle with three squares](../problem/p508_triangle_square_area_1.jpg) |
Problem 508.
Triangle with three Squares, Four triangle of equal Area. |
![Triangle with Three Squares, Center, Midpoint](../problem/p506_triangle_square_center.jpg) |
Problem 506.
Triangle with Three Squares, Center, Midpoint, Perpendicular. |
![Geometry Problems 141-150](../math_geometry_online_courses/geometry_problems_141_150.jpg) |
Geometry Problems 141 - 150.
Triangle, Quadrilateral, Parallelogram, Incircle, Incenter, Tangent,
Parallel, Perimeter, Area, Inradius, Circumradius, Midpoint, Varignon,
Trisection. |
![Triangle with Three Squares](../problem/p503_triangle_square_center.jpg) |
Problem 503.
Triangle with Three Squares, Perpendicular, Congruence, Concurrency. |
![Triangle, Two Squares, Midpoint, Perpendicular, Half the measure](../problem/p502_triangle_square_median.jpg) |
Problem 502.
Triangle, Two Squares, Midpoint, Perpendicular, Half the measure. |
![Triangle, Two Squares, Center, Midpoint](../problem/p501_triangle_square_center.jpg) |
Problem 501.
Triangle, Two Squares, Center, Midpoint, another Square. |
![Triangle, Two Squares, Perpendicular](../problem/p499_triangle_squares_1.jpg) |
Problem 499.
Triangle, Two Squares, Perpendicular. |
![Triangle, Two Squares, Perpendicular](../problem/p499_triangle_squares_1.jpg) |
Problem 499.
Triangle, Two Squares, Perpendicular. |
![Triangle, Two Squares, Centers, Midpoint, 90 Degrees](../problem/p497_triangle_squares_1.jpg) |
Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees. |
![Triangle with Squares, 90 degrees](../problem/p496_triangle_squares_1.jpg) |
Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors. |
![Elearn 492: Quadrilateral, CIrcle, Perpendicular, Parallel](../problem/p492_quadrilateral_circle_1.jpg) |
Problem 492.
Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel. |
![Elearn 491: Square, Incircles, Radius, Side](../problem/p491_square_circle_1.jpg) |
Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius. |
![Elearn 489: Parallelogram, Areas](../problem/p489_parallelogram_area_1.jpg) |
Problem 489.
Parallelogram, Triangle, Quadrilateral, Area. |
![Square, Circles, Tangent](../problem/p485_square_circles_1.jpg) |
Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. |
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