Go Geometry: Quadrilaterals

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

Quadrilaterals: Theorems and Problems 3

 

Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence

Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence.

Geometry Problem Quadrilateral Midpoint

Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian.

Quadrilateral, Triangle, Angles

Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees.

Quadrilateral, 90 Degrees, Perpendicular

Geometry Problem 748.
Quadrilateral, 90 Degrees, Diagonal, Perpendicular, Metric Relations.

Quadrilateral, 120 degrees, Angles

Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120 Degrees.

Circle, Square, Area

Geometry Problem 695.
Triangle, Quadrilateral, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Cyclic quadrilateral, Congruence, Parallel

Geometry Problem 628
Cyclic Quadrilateral, Congruence, Parallel Lines.

Cyclic quadrilateral, Congruence, and Concyclic Points

Geometry Problem 627
Cyclic Quadrilateral, Congruence, Concyclic Points.

Triangle, Square, Area

Geometry Problem 615
Right Triangle with a Square, Diagonals, Center, Area of Quadrilateral.

Cyclic quadrilateral, Circumcenter, Concurrency

Geometry Problem 586.
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency.

Cyclic quadrilateral, Circumcenter, Concurrency

Problem 585.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency.

Cyclic quadrilateral, Circumcenter, Parallelogram

Problem 584.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms.

Quadrilateral, Circumcenters

Problem 583.
Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas.

Quadrilateral, Diagonals, Incenters

Problem 582.
Quadrilateral, Diagonals, Incenters, Metric Relations.

Quadrilateral, Diagonal, Area

Problem 579.
Quadrilateral, Diagonals, Triangles, Areas.

Quadrilateral, Diagonal, Angle

Problem 556.
Quadrilateral, Diagonal, Angles, Auxiliary Lines.

Triangle, Three Squares, Altitude, Area

Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area.

Geometry problems 161-170

Puzzle: Geometry Problems 161 - 170. 22 piece polygons.
Area, Triangle, Parallelogram, Trapezoid, Pentagon, Diagonal, Midpoint, Octagon.

Rectangle, Midpoint, Diagonal, Angle Bisector

Problem 537.
Rectangle, Midpoints, Diagonal, Angle Bisector.

Cyclic quadrilateral, Diagonal, Diameter

Problem 530.
Cyclic Quadrilateral, Diagonal, Diameter, Perpendicular, Congruence.

Right Trapezoid, Circle, Diameter

Problem 529.
Right Trapezoid, Circle, Diameter.

Triangle with six Squares

Problem 520.
Triangle with six Squares, Ratio, Area.

Triangle with Squares and Rectangles

Problem 519.
Triangle, Squares, Altitude, Perpendicular, Rectangle, Area.

Geometry problem 518

Problem 518.
Parallelogram, Five Squares, Centers, 45 Degrees, Measure.

Rhombus, Circle

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

Right triangle with six squares

Problem 517.
Right Triangle, Six Squares, Areas.

Triangle with five squares

Problem 514.
Triangle, Five Squares, Line, Area.

Geometry problems 181-190

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 512.
Triangle with three squares and concurrency.

Triangle with three squares

Problem 510.
Triangle, Three Squares, Midpoints, Concurrency.

Geometry problems 151-160

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 508.
Triangle with three Squares, Four triangle of equal Area.

Triangle with Three Squares, Center, Midpoint

Problem 506.
Triangle with Three Squares, Center, Midpoint, Perpendicular.

Geometry Problems 141-150

Geometry Problems 141 - 150.
Triangle, Quadrilateral, Parallelogram, Incircle, Incenter, Tangent, Parallel, Perimeter, Area, Inradius, Circumradius, Midpoint, Varignon, Trisection.

Triangle with Three Squares

Problem 503.
Triangle with Three Squares, Perpendicular, Congruence, Concurrency.

Triangle, Two Squares, Midpoint, Perpendicular, Half the measure

Problem 502.
Triangle, Two Squares, Midpoint, Perpendicular, Half the measure.

Triangle, Two Squares, Center, Midpoint

Problem 501.
Triangle, Two Squares, Center, Midpoint, another Square.

Triangle, Two Squares, Perpendicular

Problem 499.
Triangle, Two Squares, Perpendicular.

Triangle, Two Squares, Perpendicular

Problem 499.
Triangle, Two Squares, Perpendicular.

Triangle, Two Squares, Centers, Midpoint, 90 Degrees

Problem 497.
Triangle, Two Squares, Centers, Midpoint, 90 Degrees.

Triangle with Squares, 90 degrees

Problem 496.
Triangle, Two Squares, 90 Degrees, Concurrency, Angle Bisectors.

Elearn 492: Quadrilateral, CIrcle, Perpendicular, Parallel

Problem 492.
Cyclic Quadrilateral, Circle, Perpendicular, Side, Diagonal, Parallel.

Elearn 491: Square, Incircles, Radius, Side

Problem 491.
Square, Right Triangle, Incircle, Inscribed Circle, Radius.

Elearn 489: Parallelogram, Areas

Problem 489.
Parallelogram, Triangle, Quadrilateral, Area.

Square, Circles, Tangent

Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement.

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Last updated: May 7, 2009