College Geometry Online, eLearning

Angle Bisector Theorems and Problems- Table of Content 1

Angle Bisector Index

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration. Angles and more.
Euclid's Elements Book. Index.

Bisect an angle

Book I, Proposition 9: Bisect a given angle.
Construction of angle bisector

Incenter, Incircle, Index

Incenter. Index.
Angle bisectors

Angle Bisector Theorem

Euclid's Elements Book VI, Proposition 3: Angle Bisector Theorem

Isogonal Lines

Isogonal Lines.
Theorems and Problems.

Dynamic Geometry: Incenter and Incircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Incenter and Incircle of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Morley's Theorem

Animated illustration of the celebrated Morley's angle trisector theorem 

Morley's Triangle & Center: Trisection of angles.

Blanchet Theorem. Altitude, Angle Bisector.

Isogonic-Jacobi Theorem: Using TracenPoche Dynamic Geometry Software.
Isogonal conjugate line, reflecting line on the angle bisector

Interactive Geometry

Triangle: Incircle, Perpendicular, Angle Bisector. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

Heron's Formula.
Key facts and
a purely geometric step-by-step proof.
Geometry help: Key Facts: Angle bisector. Preliminary propositions 

Geometry problem 1290

Geometry Problem 1290.
Triangle, Internal Angle Bisector, Median, Parallel, Measurement, Metric Relations.

Geometry problem 1274

Geometry Problem 1274.
Isosceles Triangle, 80-20-80 Degrees, Area, Inradius, Circumradius, Angle Bisector, Metric Relations, Measurement.

Geometry problem 1271

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

Geometry problem 1270

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

Geometry problem 1269

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

Geometry problem 1268

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

Geometry problem 1266

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

Geometry problem 1265

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

Geometry problem 1264

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

Geometry problem 1260

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

Geometry problem 1256

Geometry Problem 1256.
Parallelogram, Angle Bisector, Measurement.

Geometry problem 1249

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

Geometry problem 1243

Geometry Problem 1243.
Quadrilateral, Four Exterior Angle Bisectors, Semi-sum, Angles. Mobile Apps.

Geometry problem 1242

Geometry Problem 1242.
Quadrilateral, Four Interior and Exterior Angle Bisectors, Collinearity, Concurrent Lines. Mobile Apps.

Geometry problem 1241

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

Geometry problem 1231

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

Geometry problem 1227

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

Geometry problem 1225

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

Geometry problem 1217

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

Geometry problem 1214

Geometry Problem 1214
Triangle, Three Angle Bisectors, Proportions.

Geometry problem 1211

Geometry Problem 1211
Right Triangle, Altitude, Angle Bisector, 45 Degrees.

Geometry problem 1207

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

Geometry problem 1206

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

Geometry problem 1203

Geometry Problem 1203
Right Triangle, Square, Angle Bisector, Three Congruent Quadrilaterals.

Geometry problem 1191

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

Geometry problem 1180

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

Geometry problem 1178

Geometry Problem 1178
Triangle, Angle Bisector, Metric Relations.

Geometry problem 1177

Geometry Problem 1177
Triangle, Two Angle Bisectors, Metric Relations.

Geometry problem 1164

Geometry Problem 1164.
Triangle, Angle Bisector, Cevian.

Geometry problem 1174

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

Geometry problem 1163

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

Geometry problem 1153

Geometry Problem 1153.
Triangle, Angle Bisectors, Perpendicular, Congruence.

Geometry problem 1144

Geometry Problem 1144.
Three Equal Squares, Diagonals, Perpendicular, 90 Degrees, Angle Bisector.

Geometry problem 1139

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

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Last updated: Nov 28, 2016