Geometry Problem
1001.
Triangle, Circumcircle, Perpendicular, Perpendicular Bisector, Tangent,
Collinear Points.
Geometry Problem
1002.
Triangle, Circumcircle, Cevian, Parallel Lines, Cyclic Quadrilateral, Concyclic Points.
Geometry Problem
1003.
Intersecting Circle, Circumcircle, Chord, Secant, Triangle, 90 Degree, Angle, Perpendicular Lines.
Geometry Problem
1004.
Triangle with Squares, Perpendicular Bisectors, Concurrent Lines.
Geometry Problem
1005.
Triangle, Circle, Circumcenter, Interior and Exterior Angle Bisector, 90 Degree, Perpendicular.
Geometry Problem
1006.
Tangent Circles, Common External Tangent, Bicentric Trapezoid, Incenter, Circumcenter.
Geometry Problem
1007.
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency.
Geometry Problem
1008.
Three Equal Tangent Circles, Sum of Tangent Lines, Tangency Points.
Geometry Problem
1009.
Tangent Circles, Common External Tangent, Common Internal Tangent, Arithmetic Mean.
Geometry Problem
1011.
Triangle, Angle Bisector, Vertex, Circle, Center, Radius, Parallel Lines.
Geometry Problem
1012.
Equilateral Triangle, Incenters, Inscribed Circles, Perpendicular, Concurrent Lines.
Geometry Problem
1013.
Square, Line through the Center, Perpendicular, Distance, Metric Relations.
Geometry Problem
1014.
Square, Diagonal, 45 Degrees, Angle, Equal Areas, Triangle, Quadrilateral.
Geometry Problem
1015.
Right Triangle, Square, Altitude, Metric Relations.
Geometry Problem
1016.
Triangle, 45 Degrees, Area, Triangle, Quadrilateral, Altitude, Bisector.
Geometry Problem
1017.
Square, Center, Midpoints, Circle, Concyclic Points, Cyclic Quadrilateral.
Geometry Problem
1018.
Right Triangle, Circles, Angle.
Geometry Problem
1019.
Circle, Diameter, Perpendicular, Chord, Tangent, Sum.
Geometry Problem
1020.
Circle, Tangent, Chord, Perpendicular, Geometric Mean.
Geometry Problem
1021.
Triangle, Cevian, Double Angle, Sides.
Geometry Problem
1022.
Circular Sector of 90 Degrees, Squares, Metric Relations.
Geometry Problem
1023.
Triangle, Contact, Gergonne, Product of three distances.
Geometry Problem
1024.
Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances.
Geometry Problem
1025.
Triangle, Double, Triple, Angle, Interior Point.
Geometry Problem
1026.
Right Triangle, 90 Degrees, Triple Angle, Congruence.
Geometry Problem
1027.
Triangle, Double, Quadruple, Angle, Congruence.
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Geometry Problem
1028.
Right
Triangle, Double, Angle, Midpoint, Congruence.
Geometry Problem
1029.
Right Triangle, 90 Degrees, Angle, Midpoint, Congruence.
Geometry Problem
1030.
Quadrilateral, Triangle, Area, Midpoint, Parallel lines.
Geometry Problem
1031.
Trapezoid, Intersecting Circles, Common Chord, Tangent Line, Midpoint, Parallel Lines.
Geometry Problem
1032: Apollonius Problem LPP.
Circle Tangent to One Line and passing through Two Points.
Geometry Problem
1033.
Triangle, Angle Obtuse, Circumcircle, Diameter, Area.
Geometry Problem
1034.
Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter.
Geometry Problem
1035.
Triangle, Three equal Incircles, Tangent lines, Equivalent triangles, Equal area.
Geometry Problem
1036.
Triangle, Three equal Incircles, Tangent lines, Inradius, Equal Inradii.
Geometry Problem
1037.
Triangle, Three equal Incircles, Tangent lines, Inradius, Length.
Geometry Problem
1038.
Isosceles Triangle, Angle, 80, 20, 25, 65 Degrees.
Geometry Problem
1039.
Isosceles Triangle, Circle, Tangent Line, Parallel Line.
Geometry Problem
1040.
Isosceles Triangle, Transversal Line, Metric Relations.
Geometry Problem
1041.
Quadrilateral, Perpendicular, Diagonals, Congruence, Metric Relations.
Geometry Problem
1042.
Scalene Triangle, Isosceles, Equal Angles, Parallelogram, Congruence.
Geometry Problem
1043.
Right Triangle, Incenter, Excenter, Congruence, Metric Relations.
Geometry Problem
1044.
Triangle, Parallelogram, Midpoint, Area.
Geometry Problem
1045.
Quadrilateral, Diagonal, Triple Angle, Triangle, Congruence.
Geometry Problem
1046.
Rectangle, Circle, Circumradius, Metric Relations.
Geometry Problem
1047.
Parallelogram, Parallel Lines, Concurrent Lines, Diagonals.
Geometry Problem
1048.
Circles, Tangent, Perpendicular, Diameter, Angle Bisector.
Geometry Problem
1049.
Hexagon inscribed, Circle, Circumcircle, Congruence, Angles.
Geometry Problem
1050.
Regular Hexagon, Center, Any Point, Inside, Outside, Distance, Metric Relations,
Congruence.
Geometry Problem
1051.
Triangle, Square, Semicircle, Arc, Area.
Geometry Problem
1052.
Triangle, Quadrilateral, Three Circumcircles, Circle, Concyclic Points, Cyclic Quadrilateral.
Geometry Problem
1053.
Triangle, Perpendicular Medians, Midpoint, Congruence.
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Geometry Problem
1054.
Triangle, Altitude, Orthocenter, Circumcenter, Perpendicular, Midpoints.
Geometry Problem
1055.
Triangle, Altitude, Perpendicular, Area, Circumradius, Circle.
Geometry Problem
1056.
Triangle, Exradius, Reciprocals of the Altitudes, Multiplicative Inverse, Perpendicular, Excircle, Circle.
Geometry Problem
1057.
Triangle, Area, Circle with Perpendicular Diameters, Tangent, Secant.
Geometry Problem
1058.
Triangle, Sum of the Areas, Altitude, Perpendicular, Circumcircle, Circle, Diameter.
Geometry Problem
1059.
Triangle, Circumcircle, Orthocenter, Altitude, Perpendicular, Reflection of a Point over a Line, Collinear Points, Simson Line, Congruence.
Geometry Problem
1060.
Triangle, Incircle, Incenter, Inscribed circle, Tangent, Angle.
Geometry Problem
1061.
Triangle, Inradius (r), Circumradius (R), Circumcircle, Angle Bisector, Distance from a point to a Line, Perpendicular.
Geometry Problem
1062.
Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal.
Geometry Problem
1063.
Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments.
Geometry Problem
1064.
Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides.
Geometry Problem
1065.
Triangle, Acute Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter.
Geometry Problem
1066.
Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter.
Geometry Problem
1067.
Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter.
Geometry Problem
1068.
Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter.
Geometry Problem
1069.
Circle, Angles, Auxiliary Lines.
Geometry Problem
1070.
Circle, Chord, Equilateral Triangle, Square, Rectangle, Area, Diameter, Perpendicular.
Geometry Problem
1071.
Arbelos, Semicircles, Diameter, Circle, Perpendicular, Common Tangent, Parallel, Collinear Points, 90 Degree,
Midpoint.
Geometry Problem
1072.
Triangle, Altitudes, Interior Point, Distance, Ratio.
Geometry Problem
1073.
Triangle, Altitudes, Exterior Point, Distance, Ratio.
Geometry Problem
1074.
Quadrilateral, Right Triangle, Angles, 15, 22,5, 30, 90 Degrees.
Geometry Problem
1075.
Quadrilateral, Right Triangle, 90 Degrees, Isosceles, Midpoint, Distance.
Geometry Problem
1076.
Square, 45 Degrees, Angle, Sum, Distance, Auxiliary Lines. |
Geometry Problem
1077.
Chain of Equal Tangent Circles, Circular Sector, Area, Sangaku, Sacred Geometry.
Geometry Problem
1078.
Square, Inscribed Circle, Tangent, Triangle, Area.
Geometry Problem
1079.
Quadrilateral, Isosceles Triangle, Diagonals, Double Angle.
Geometry Problem
1080.
Square, Circle, Tangent, Side, Radius, Metric Relations.
Geometry Problem
1081.
Equilateral Triangle, Inscribed Circle, Inradius, Tangent Circles, Radius, Tangent Line, Sangaku Japanese Problem.
Geometry Problem
1082.
Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area.
Geometry Problem
1083.
Semicircle, Diameter, Perpendicular, 90 Degrees, Tangent Line, Metric Relations.
Geometry Problem
1084.
Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations.
Geometry Problem
1085.
Intersecting Circles, Concyclic Points, Cyclic Quadrilateral.
Geometry Problem
1086.
Square, Circle, Arc, Center, Metric Relations.
Geometry Problem
1087.
Tangent Circles, Parallel, 15 Degrees, Angle.
Geometry Problem
1088.
Triangles, Perpendicular, Concurrent Lines.
Geometry Problem
1089.
Square, Semicircle, Tangent, Triangle, Area.
Geometry Problem
1090.
Circle, Diameters, Chord, Perpendicular, Metric Relations.
Geometry Problem
1091.
Square, Perpendicular, Distance, Area, Center.
Geometry Problem
1092.
Equilateral Triangle, Square, Circle, Tangent, 90 Degree, Sangaku.
Geometry Problem
1093.
Square, Circle, Tangent, Radius, Side, Sangaku, Japanese Geometry Problem.
Geometry Problem
1094.
Tangent Circles, Tangent Chord, Radius, Sagitta of Arc.
Geometry Problem
1095.
Externally Tangent Circles, Common Tangent, Radius, Metric Relations.
Geometry Problem
1096.
Tangent Circles, Common Tangent, Chord, Radius, Center.
Geometry Problem
1097.
Quadrilateral, Inscribed Circle, 90 Degree, Angle, Area.
Geometry Problem
1098.
Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations.
Geometry Problem
1099.
Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations,
Sangaku Japanese Geometry.
Geometry Problem
1100.
Triangle, Circle, Centers, Vertex, Radius, Angle. |