Go Geometry: Quadrilaterals

The Incas used trapezoids for all their windows and doors, which withstand earthquakes well.

Quadrilaterals: Theorems and Problems 2

 

Geometry problem 1182

Geometry Problem 1182
Two Squares, Four Quadrilaterals, Sum of the Areas, Metric Relations.

Geometry problem 1181

Geometry Problem 1181
Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter.

Geometry problem 1180

Geometry Problem 1180
Quadrilateral, 120 Degrees, Diagonals, Perpendicular.

Geometry problem 1176

Geometry Problem 1176
Cyclic Quadrilateral, Diagonals, Six Diameters, Circles, Collinear Points, Concurrent Lines.

Six Tangential Quadrilaterals Theorem, problem 1175

Geometry Problem 1175: Six Tangential or Circumscribed Quadrilaterals Theorem

Geometry problem 1174

Geometry Problem 1174
Triangle, Quadrilateral, Double, Triple, Angle, Congruence, Excenter, Angle Bisector.

Geometry problem 1152

Geometry Problem 1152.
Triangle, Quadrilateral, Angle, 10, 20, 30 Degrees.

Geometry problem 1130

Geometry Problem 1130.
Cyclic Quadrilateral, Diagonals, Angle Bisector, Congruent Angles.

Geometry Problem 1119

Geometry Problem 1119.
Quadrilateral, Similar Triangles, Midpoints, Equal Ratio, Angles.

Geometry Problem 1097

Geometry Problem 1097.
Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area.

Geometry Problem 1079

Geometry Problem 1079.
Quadrilateral, Isosceles Triangle, Diagonals, Double Angle.

Geometry Problem 1075

Geometry Problem 1075.
Quadrilateral, Right Triangle, 90 Degrees, Isosceles, Midpoint, Distance.

Geometry Problem 1074

Geometry Problem 1074.
Quadrilateral, Right Triangle, Angles, 15, 22,5, 30, 90 Degrees.

Geometry Problem 1052

Geometry Problem 1052.
Triangle, Quadrilateral, Three Circumcircles, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1046

Geometry Problem 1046.
Rectangle, Circle, Circumradius, Metric Relations.

Geometry Problem 1045

Geometry Problem 1045.
Quadrilateral, Diagonal, Triple Angle, Triangle, Congruence.

Geometry Problem 1041

Geometry Problem 1041.
Quadrilateral, Perpendicular, Diagonals, Congruence, Metric Relations.

Geometry Problem 1030

Geometry Problem 1030.
Quadrilateral, Triangle, Area, Midpoint, Parallel lines.

Geometry Problem 1016

Geometry Problem 1016.
Triangle, 45 Degrees, Area, Triangle, Quadrilateral, Altitude, Bisector.

Geometry Problem 1015

Geometry Problem 1015.
Right Triangle, Square, Altitude, Metric Relations.

Geometry Problem 1014

Geometry Problem 1014.
Square, Diagonal, 45 Degrees, Angle, Equal Areas, Triangle, Quadrilateral.

Geometry Problem 995

Geometry Problem 995.
Quadrilateral, Perpendicular Diagonals, Perpendicular Bisector, Parallel.

Geometry Problem 961

Geometry Problem 961.
Quadrilateral, Trisection, Sides, Sum of Areas.

Geometry Problem 960

Geometry Problem 960.
Quadrilateral, Trisection, Sides, Congruence, Similarity, Triangle.

Geometry Problem 955

Geometry Problem 955.
Quadrilateral, Triangle, Diagonals, Triangle, Angles, 30, 40, 60, 70 Degrees.

Geometry Problem 946

Geometry Problem 946.
Triangle, Quadrilateral, Area, Diagonal, Midpoint, Parallel.

Problem 925

Geometry Problem 925.
Cyclic Quadrilateral, Diagonal, Circle, Angle Bisector, Parallel.

Problem 924

Geometry Problem 924.
Quadrilateral, Diagonal, Perpendicular, Circle, Tangent, Midpoint, Metric Relations.

Problem 923

Geometry Problem 923.
Quadrilateral, Quadrangle, Obtuse Angle, Triangle, Diagonal, Inequality, Length.

Problem 910

Geometry Problem 910.
Bicentric Quadrilateral, Distance between the Incenter and Circumcenter, Incircle, Circumcircle, Circumscribed, Inscribed, Circumradius.

Problem 909 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius

Geometry Problem 909.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius, Distance.

Problem 908 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius

Geometry Problem 908.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.

Problem 907 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius

Geometry Problem 907.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.

Problem 906 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular

Geometry Problem 906.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular.

Geometry Problem 873: Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence

Geometry Problem 873
Quadrilateral, Diagonal, Triangle, Angle Bisector, Congruence.

Geometry Problem 872: Quadrilateral, Triangle, Angle, 30, 90 degrees

Geometry Problem 872
Quadrilateral, Triangle, Angle, 30, 90 degrees.

Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

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Last updated: May 7, 2009