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.

Incenter by Folding

Triangle Incenter, Angle Bisector by Folding, Video .
Dynamic Geometry Software: Tabula by Numeracy Works.
Step-by-Step construction, Manipulation, and animation.

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..)

Triangle Centers Video

Journey to the Center of a Triangle (1976). Incenter (Angle bisectors), Circumcenter, Centroid, Orthocenter.

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 1048

Geometry Problem 1048.
Circles, Tangent, Perpendicular, Diameter, Angle Bisector.

Geometry Problem 1026

Geometry Problem 1026.
Right Triangle, 90 Degrees, Triple Angle, Congruence.

Geometry Problem 1016

Geometry Problem 1016.
Triangle, 45 Degrees, Area, Triangle, Quadrilateral, Altitude, Bisector.

Geometry Problem 1011

Geometry Problem 1011.
Triangle, Angle Bisector, Vertex, Circle, Center, Radius, Parallel Lines.

Geometry Problem 1005

Geometry Problem 1005.
Triangle, Circle, Circumcenter, Interior and Exterior Angle Bisector, 90 Degree, Perpendicular.

Geometry Problem 979

Geometry Problem 979.
Triangle, Cevian, Angle Bisector, Concurrency, 90 Degrees, Perpendicular.

Geometry Problem 976

Geometry Problem 976.
Isosceles Right Triangle, 45 Degrees, Incenter, Angle Bisector, Hypotenuse.

Geometry Problem 975

Geometry Problem 975.
Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse.

Geometry Problem 963

Geometry Problem 963.
Right Triangle, 30-60-90 Degrees, Angle Bisectors, Metric Relations.

Geometry Problem 958

Geometry Problem 958.
Isosceles Triangle, Altitude, 45 Degrees, Perpendicular, Angle Bisector, Metric Relations.

Geometry Problem 954

Geometry Problem 954.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Angle Bisector.

Geometry Problem 947

Geometry Problem 947.
Triangle, Circumcircle, Angle Bisector, Chord, Arc, Parallel.

Geometry Problem 945

Geometry Problem 945.
Triangle, Concurrent Lines, Cevians, Perpendicular, Angle Bisector.

Problem 935

Geometry Problem 935.
Square, Circle, Center,
Angle Bisector, Perpendicular, Metric Relations.

Problem 925

Geometry Problem 925.
Cyclic Quadrilateral, Diagonal, Circle, Angle Bisector, Parallel.

Problem 921

Geometry Problem 921.
Right Triangle, Circumcircle, Arc, Midpoint, Tangency Point, Incircle,
Angle Bisector.

Problem 918

Geometry Problem 918.
Triangle, Incenter, Incircle, Angle Bisector, Perpendicular, Metric Relations.

Problem 917

Geometry Problem 917.
Triangle, Congruence, Midpoints, Angle Bisector, Perpendicular.

Problem 914

Geometry Problem 914.
Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint.

Problem 887

Geometry Problem 887
Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets.

Problem 886

Geometry Problem 886
Right Triangle, Incenter, Angle Bisector, Perpendicular, 45 Degrees, Concyclic Points, Isosceles Right Triangle. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).

Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement

Geometry Problem 803
Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement.

Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter

Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter.

Parallelogram, Angle Bisector

Geometry Problem 797
Parallelogram, Angle Bisector, Isosceles and Similar Triangles.

Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles

Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles.

Right Triangle, Altitude, Incenter, Angle Bisector, Inradius

Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence.

Right Triangle, Altitude, Angle Bisector, Inradius

Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line.

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement.

Parallelogram, COngruence, Angle Bisector

Geometry Problem 751.
Parallelogram, Congruence, Intersecting Lines, Angle Bisector.

Triangle, Double Angle

Geometry Problem 739.
Triangle, Double Angle, External Angle Bisector. Congruence.

Triangle, Excenter, Angle

Geometry Problem 707.
Triangle, Excenters, Angle Bisectors, Angle, Measurement.

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Last updated: October 11, 2014