Go Geometry: Quadrilaterals

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

Quadrilaterals: Theorems and Problems 4

Inca Skull Surgery


Square, Angle, 90 degrees, Proportion

Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion.

Triangle, Square, 90 degrees

Problem 483.
Square, Angle, 90 degrees, Measurement.

Parallelogram, triangle, quadrilateral, area

Problem 477.
Parallelogram, Triangle, Quadrilateral, Area.

Parallelogram, Diagonal, Circle

Problem 474.
Parallelogram, Diagonal, Circle, Vertex.

Parallelogram, Diagonal, Circle

Problem 474.
Parallelogram, Diagonal, Circle, Vertex.

Triangle, Area, Similarity

Problem 472.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Triangle area, Similarity

Problem 470.
Triangle, Parallel, Side, Parallelogram, Area, Similarity.

Square, Arc, 90 degrees

Proposed Problem 465.
Square, Arc, Angle, 90 Degrees, Measurement.

Square, Arc, Angle

Proposed Problem 464.
Square, Arcs, Center, Angle, 90 Degrees, 120 Degrees.

Square, Circle, Arc, 90 Degrees

Proposed Problem 462.
Square, Arcs, 90 Degrees, Circle, Tangent, Radius, Measurement.

Right triangle, Squares

Proposed Problem 459.
Right triangle, Squares, Distance, Measurement.

Square, Circle, Tangent

Proposed Problem 458.
Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement.

Rhombus, Circle

Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees.

Vecten Point

Vecten Outer Point.

Quadrilateral Area

Proposed Problem 446.
Quadrilateral Area, Dividing the sides into 5 equal parts.

Problem 441: Quadrilateral, Area

Proposed Problem 441.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Quadrilateral, transversal, ratio, similarity

Proposed Problem 434.
Quadrilateral, Transversal, Ratio, Measurement, Similarity.

Problem 433: Quadrilateral, Area

Proposed Problem 433.
Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity.

Problem 432: Trapezoid, Parallel, Similarity

Proposed Problem 432.
Trapezoid, Parallel, Measurement, Similarity, Transversal.

Quadrilateral, Midpoint diagonals

Proposed Problem 431.
Quadrilateral, Midpoints of Diagonals, Transversal.

Geometry classes problem 425

Proposed Problem 425.
Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence.

Cyclic quadrilateral, Orthocenter, Parallelogram, Congruence

Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency, Congruence.

Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence

Proposed Problem 408.
Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.

Quadrilateral, 60, 75, 135 degrees

Proposed Problem 405.
Quadrilateral, 60, 75, and 135 degrees, Midpoint.

Isosceles Trapezoid, Concyclic Points

Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points.

Tangent circles, Square

Proposed Problem 336.
Two equal circles, a Common Tangent and a Square.

Cyclic Quadrilateral, Perpendiculars to Sides

Proposed Problem 335.
Cyclic Quadrilateral, Perpendiculars to Sides.

Problem 334 Cyclic Quadrilateral, Perpendiculars to Diagonals

Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals.

Elearning 331 Square, Inscribed Circle

Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points.

Cyclic quadrilateral

Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter.

Elearning 324: Quadrilateral

Proposed Problem 324.
Quadrilateral with perpendicular diagonals, Concurrence.

Area of a triangle

Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area.

Elearning 317 Right triangle

Proposed Problem 317.
Right triangle and Inscribed Squares.

Circular Segments, Inscribed Squares

Proposed Problem 316.
Circular segments and Inscribed Squares.

Circle, Chord, Tangent, Perpendicular

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean.

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Last updated: May 7, 2009