Online Geometry: Circles, Theorems and Problems

Circles - Table of Content (Page 5)

Problem 1341.
Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector.

Problem 1340.
Triangle, Incenter, Concentric Circles, Isosceles Triangles, Congruence.

Problem 1339.
Circle, Diameter, Tangent, Secant, Parallelogram.

Problem 1337.
Parallelogram, Diagonals, Circle, Circumcircle, Tangent Line, Triangle, Congruence.

Problem 1335. The Lune of Hippocrates has the same area of a Kite.

Geometry Problem 1322.
Triangle, Angle Bisector, Circumcircle, Chord, Secant, Sum of two Angles.

Geometry Problem 1321.
Intersecting Circles, Diameter, Secant, Chord, Collinearity.

Geometry Problem 1320.
Triangle, Incircle, Tangent, Chord, Circle, Parallel, Perpendicular, Collinearity.

Geometry Problem 1317.
Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence.

Geometry Problem 1316.
Triangle, Incircle, Tangent, Chord, Midpoint, Sum of two Segments, Congruence.

Geometry Problem 1315.
Triangle, Incircle, Tangent, Chord, Circle, Congruence.

Geometry Problem 1314.
Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence.

Geometry Problem 1313.
Regular Decagon, Pentadecagon, Equilateral Triangle, Congruence.

Geometry Problem 1312.
Triangle, 60 Degrees, Circle, Circumcenter, Orthocenter, Altitude, Distance, Perpendicular, Measurement.

Geometry Problem 1311.
Inscribed Triangle, Circle, Circumcircle, Concyclic Points, Measurement.

Geometry Problem 1309.
Triangle, Circle, Inradius, Excircle, Tangent, Exradius, Measurement.

Geometry Problem 1308.
Quadrilateral, Diagonal, Triangle, Incircle, Tangent Line, Sides, Measurement.

Geometry Problem 1306.
Cyclic, Inscribed Quadrilateral, Circle, Tangent, Diagonals, Collinear Points.

Geometry Problem 1305.
Triangle, Circumcircle, Angle Bisector, Arc, Perpendicular, Area.

Geometry Problem 1302.
Triangle, Median, Midpoint, Circles, Diameters, Congruence.

Geometry Problem 1301.
Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency.

Geometry Problem 1300.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines.

Geometry Problem 1298.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint.

Geometry Problem 1297.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector.

Geometry Problem 1295.
Right Triangle, Incenter, Incircle, Excenter, Excircle, Congruence, Angle.

Geometry Problem 1294.
Triangle, Altitudes, Four Squares, Center, Midpoint, Concyclic Points.

Geometry Problem 1292.
Square, Circle, Right Triangle, Arc, Inradius, Radius, Incircle, Measurement.

Geometry Problem 1281.
Triangle, Circle, Diameter, Tangent, Altitude, Congruent Angles.

Geometry Problem 1277.
Equilateral Triangle, Circumcircle, Externally Tangent Circles, Tangent Line, Measurement.

Geometry Problem 1276.
Equilateral Triangle, Circumcircle, Internally Tangent Circles, Tangent Line, Measurement.

Geometry Problem 1273.
Circle, Tangent, Secant, Midpoint, Isogonal Lines, Congruent Angles.

Geometry Problem 1271.
Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points.

Geometry Problem 1270.
Triangle, Excircle, Excenter, Escribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector.

Geometry Problem 1269.
Triangle, Incircle, Incenter, Inscribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector.

Geometry Problem 1268.
Triangle, Exterior Angle Bisector, Circumcircle, Circle, Chord, Parallel, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1267.
Triangle, Incircle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Parallelogram.

Geometry Problem 1266.
Triangle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector.

Geometry Problem 1265.
Triangle, Incircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector.

Geometry Problem 1264.
Triangle, Exterior Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines.

Geometry Problem 1261.
Cyclic Quadrilateral, Circle, Diameter, Midpoint, Measurement.

Geometry Problem 1260.
Triangle, Internal Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines.

Geometry Problem 1259.
Triangle, Circumcircle, Circle, Diameter, Parallel Lines.

Geometry Problem 1258.
Cyclic Quadrilateral, Concyclic Points, Measurement.

Geometry Problem 1254.
Circle, Arc. Chord, Midpoint, Cyclic Quadrilateral, Concyclic Points.

Geometry Problem 1253.
Triangle, Orthocenter, Circle, Circumcircle, Altitude, Perpendicular, 90 Degree, Concurrency.

Geometry Problem 1252.
Triangle, Circle, Circumcircle, Altitude, Area, Hexagon, Perpendicular, 90 Degrees. Mind Map.

Geometry Problem 1251.
Triangle, Circle, Diameter, Perpendicular, 90 Degrees.

Geometry Problem 1250.
Cyclic or Inscribed Quadrilateral, Circle, Diameter, Congruence.

Geometry Problem 1249.
Cyclic Quadrilateral, Circle, Triangle, Circumcircle, Angle Bisector, Parallel Lines, Area.

Geometry Problem 1248.
Triangle, Circumcircle, Circle, Diameter, Orthocenter, Altitude, Parallel Lines.

Geometry Problem 1247.
Triangle, Circumcircle, Orthocenter, Altitude, Perpendicular, Midpoint.

Geometry Problem 1245.
Cyclic or Inscribed Quadrilateral, Circle, Arc, Midpoint, Measurement. Mobile Apps.

Geometry Problem 1244.
Circle, Radius, Perpendicular, Chord, Secant, Measurement. Mobile Apps.

Geometry Problem 1241.
Quadrilateral, Four Exterior Angle Bisectors, Cyclic Quadrilateral, Circle. Mobile Apps.

Geometry Problem 1240
Triangle, Circle, Diameter, Circumcircle, Circumcenter, Perpendicular. Mobile Apps.

Geometry Problem 1239
Intersecting Circles, Secant, Concyclic Points, Congruence. Mobile Apps

Geometry Problem 1236
Intersecting Circles, Secant, Concyclic Points.

Geometry Problem 1234
Quadrilateral, 60 Degrees, Midpoint, Congruence, Cyclic Quadrilateral, Concyclic Points.

Geometry Problem 1235
Triangle, Cevians, Concurrency, Circle, Circumcircle.

Geometry Problem 1231
Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle.

Geometry Problem 1229
Three Tangent Circles, Midpoint, Common Tangent Line, 3-4-5 Right Triangle.

Geometry Problem 1228
Three Tangent Circles, Midpoint, Major Arc, Common Tangent Line, Square.

Geometry Problem 1227
Triangle, Circumcircle, Angle Bisector, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1225
Equilateral Triangle, Circumcircle, Angle Bisector, Congruence.

Geometry Problem 1223
Circle, Parallel Chord.

Geometry Problem 1221
Intersecting Circles, Chord, Tangent, Parallel Chords, Collinear Points.

Geometry Problem 1217
Triangle, Circle, Excenter, Incenter, Angle Bisector, Cyclic Quadrilateral, Circumcircle, Tangent Line.

Geometry Problem 1216
Circle, 90 Degrees, Tangent, Common Chord, Collinearity.

Geometry Problem 1215
Circle, Diameter, Chord, Radius, Midpoint, Measurement.

Geometric Art: Isolines of Borromean Rings, Three Circles, Parallel Lines, Geometry for Kids, Software, iPad

Geometry Problem 1213
Triangle, Circumcircle, Altitudes, Cyclic Quadrilateral, Congruence.

Geometry Problem 1210
Circle, Tangent Line, Secant, Chord, Collinear Points.

Geometry Problem 1209
Triangle, Circle, Excircle, Excenter, Circumcircle, Congruence.

Geometry Problem 1208
Triangle, Circle, Excircle, Excenter, Diameter, Perpendicular, 90 Degrees, Equal Areas.

Geometry Problem 1207
Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular, 90 Degrees.

Geometry Problem 1206
Circle, Angle Bisector, Secant, Triangle, Circumcircle, Congruence, Area.

Geometry Problem 1199
Equilateral Triangle, Square, Altitude, Circle, Incircle, Inradius, Metric Relations.

Geometry Problem 1193
3-4-5 Right Triangle, Congruent Circles, Tangent, Radius.

Geometry Problem 1191
Circle, Chords. Diameter, Congruence, Midpoint, Collinearity, Bisector.

Geometry Problem 1190
Circle, Chords. Congruence.

Geometry Problem 1189
Circle, Tangent Line, Secant, Chord, Collinear Points.

Geometry Problem 1186
Right Triangle, Square, Inscribed Circle, Tangent, Quadrilateral, Area.

Geometry Problem 1184
Right Triangle, Square, Inscribed Circle, Tangent, Concurrent Lines.

Geometry Problem 1183
Parallelogram, Diagonals, Circle, Tangent Line.

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

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

Geometry Problem 1175: Six Tangential or Circumscribed Quadrilaterals Theorem

Geometry Problem 1172
Cyclic Quadrilateral, Circle, Secant, Triangle, Similarity, Metric Relations.

Geometry Problem 1168
Construction of the Inscribed Circle of the Arbelos, Semicircles, Diameter, Circle, Triangle, Circumcircle, Tangent.

Geometry Problem 1167.
Triangle, Circle, Circumcircle, Perpendicular, 90 Degrees, Collinear Points.

Geometry Problem 1166.
Triangle, Circles, Diameters, Secant, Midpoint, Congruence.

Geometry Problem 1165.
Right Triangle, Circle, Center, Radius, Cathetus, Perpendicular, 90 Degrees, Perimeter, Metric Relations.

Geometry Problem 1163.
Isosceles Triangle, Congruence, Double Angle, Circle, Concyclic Points, Circumcenter, Perpendicular, Angle Bisector.

Geometry Problem 1162.
Triangle, Congruence, Double Angle, Parallel Lines, Circle, Circumcenter.

Geometry Problem 1161.
Scalene Triangle, 60 Degrees, Angle, Orthocenter, Circumcenter, Equilateral Triangle, Congruence.

Geometry Problem 1159.
Triangle, Circumcircle, Sagitta, Chord, Arc, Metric Relations.

Geometry Problem 1158.
Four Tangent Circles, Tangent Chord, Radius, Metric Relations.

Geometry Problem 1157.
Four Circles, Mutually Tangent, 90 Degrees, Radius, Metric Relations.

Geometry Problem 1156.
Square, Tangent Line, 90 Degrees, Metric Relations.

Geometry Problem 1154.
Sangaku Three circles and a tangent line.

Geometry Problem 1151.
Circle, Diameter, Chord, Perpendicular, 90 Degrees, Metric Relations.

Geometric Art: Isolines, Triquetra, Celtic Knotwork, Trefoil Knot, Parallel Lines, Geometry for Kids, Software, iPad, Parallel Lines

Geometry Problem 1150.
Circle, Perpendicular Secants, 90 Degrees, Congruence.

Geometry Problem 1149.
Isosceles Triangle, Altitude, Cevian, Incircles, Tangent, Congruence.

Geometric Art: Isolines or Contour Lines of Problem 1149, Isosceles Triangle, Circles, Tangent, Parallel Lines

Dynamic Geometry Problem 1148
Static Geometry Problem 1148.
Right Triangle, Incircle, Circumcircle, Tangent, Radius. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).

Geometry Problem 1147.
Scalene Triangle, Orthocenter, Circumcenter, Congruence, Equilateral Triangle.

Geometry Problem 1143.
Triangle, Circumcircle, Tangent Line, Reflection of a Point over a Line, Tangent Circles, Collinear Points.

Geometry Problem 1142.
Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter.

Geometry Problem 1141.
Inscribed Pentagon, Circle, Triangle, Congruence, Midpoint, Concurrency.

Geometry Problem 1140.
Triangle, Circumcircle, Circle, Center, Collinear Points.

Geometry Problem 1139.
Triangle, Circumcircle, Angle Bisector, Parallel Lines, 90 Degrees, Concurrent Lines.

Geometry Problem 1137.
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles.

Geometry Problem 1136.
Triangle, Circumcircle, Orthocenter, Midpoint, Arc, 90 Degrees, Angle.

Geometry Problem 1135.
Intersecting Circles, Secant, Parallel Line, 90 Degrees, Similar Triangles.

Geometry Problem 1134.
Tangent Circles, Tangent Line, Triangle, Circumcircle, Circumcenter.

Geometry Problem 1133.
Circle, Chord, Tangent, Circumcircle, Similarity, Equal Product.

Geometry Problem 1132.
Triangle, Excircle, Tangency Point, Parallel, Midpoint.

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

Geometry Problem 1127.
Triangle, Circumcircle, Tangent, Circle, Diameter, Midpoint, Perpendicular, 90 Degrees.

Geometry Problem 1118.
Right Triangle, Angle Trisection, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1113.
Triangle, Perpendicular Bisector, 90 Degrees, Circle, Concyclic Points, Cyclic Quadrilateral.

Geometry Problem 1107.
Triangle, Circumcircle, Circle, Radius, Tangent, Chord, Congruence.

Geometry Problem 1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean.

Geometry Problem 1104.
Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius, Tangent.

Geometry Problem 1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations.

Geometry Problem 1102.
Right Triangle, Incircle, Tangency Point, 90 Degree, Cathetus, Metric Relations.

Geometry Problem 1101.
Triangle, Parallel Lines, Circle, Incircle, Inradius, Radius, Angle.

Geometry Problem 1100.
Triangle, Circle, Centers, Vertex, Radius, Angle.

Geometry Problem 1099.
Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations, Sangaku Japanese Geometry.

Geometry Problem 1098.
Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations.

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

Geometry Problem 1096.
Tangent Circles, Common Tangent, Chord, Radius, Center.

Geometry Problem 1095.
Externally Tangent Circles, Common Tangent, Radius, Metric Relations.

Geometry Problem 1094.
Tangent Circles, Tangent Chord, Radius, Sagitta of Arc.

Geometry Problem 1093.
Square, Circle, Tangent, Radius, Side, Sangaku, Japanese Geometry Problem.

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