College Geometry Online, eLearning

Online Math: Geometry: Midpoint, Theorems and Problems


Midpoint, Theorems and Problems - Index (Page 1)

Midpoint Index

Point, Theorems and Problems, Index

Points, Theorems and Problems - Index.

Perpendicular Bisector Index

Perpendicular Bisector.

Butterfly Theorem Proof with animation.
Midpoint of a chord.

Trapezoid median, Theorems and Problems, Index

Median of a Trapezoid, Theorems and Problems. Index.

Newton's Theorem: Newton's Line. Circumscribed quadrilateral, midpoints of diagonals, center of the circle inscribed.

Dynamic Geometry: Nine Point Circle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Nine Point Circle
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Internal Feuerbach Point. HTML5 Animation for Tablets iPad, Nexus

GeoGebra, Dynamic Geometry: Internal Feuerbach Point
HTML5 Animation for Tablets (iPad, Nexus..)

Equilic Quadrilateral.
120 degrees.

Kurschak's Tile and Theorem. Jozsef Kurschak (Hungary, 1864-1933) An elegant and a purely geometric way of finding the area of a regular dodecagon.

Varignon and Wittenbauer parallelograms. Quadrilateral: midpoints and trisection points of the edges.


Median Length theorem

Median length, Apollonius' Theorem

Van Aubel

Van Aubel's Theorem. Quadrilateral with Squares. Proof with animation.

Symmedian (Lemoine) Point
Triangle Center

Archimedes' Book of Lemmas: Proposition 7
Square and inscribed and circumscribed Circles

Archimedes' Book of Lemmas: Proposition 2
Semicircle, diameter, tangents, secant line. 

Archimedes' Book of Lemmas: Proposition 3
Semicircle, perpendicular to diameter, chords.

Archimedes' Book of Lemmas: Proposition 10
Tangents to a circle, secant line and chords, Parallel.

Archimedes' Book of Lemmas: Proposition 15
Circle, Diameter, Inscribed Regular Pentagon, Arc, Midpoint, Perpendicular, Radius

Bottema Theorem. Elearning.

Bottema's Theorem:
Triangle and Squares with Interactive Geometry Software
Step-by-Step construction, Manipulation, and animation.

Eight Point Circle Theorem. Elearning

Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation.
Perpendiculars from the midpoints.

Marion Walter's Theorem: Triangle and Hexagon areas: Using TracenPoche Dynamic Geometry Software.

Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.

Mascheroni Construction with compass alone. Midpoint of a segment.

Heron's Formula with medians.

Mittenpunkt Point

Brahmagupta's Theorem

Dynamic Geometry: Brahmagupta Theorem, . GeoGebra, HTML5 Animation for Tablets

Problem 1429

Geometry Problem 1429.
Triangle, Median, 15-30 degree, Angle, Congruence.

Problem 1417

Geometry Problem 1417.
Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector, Tangent Lines, Tangent Circles, Midpoint.

Problem 1408

Geometry Problem 1408.
Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity.

Problem 1395

Geometry Problem 1395.
Triangle with three rectangles on the sides, Midpoints, Perpendicular lines, Concurrency.

Problem 1388 Circle, Triangle

Geometry Problem 1385.
Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points.

Geometry problem 1365

Geometry Problem 1365.
Circle, Tangent, Secant, Chord, Parallel, Midpoint, Sketch, iPad Apps.

Geometry problem 1360

Geometry Problem 1360.
Triangle, Nine-Point Circle, Feuerbach's Circle, Euler's Circle, Cyclic Quadrilateral, Concyclic Points, Sketch, iPad Apps.

Geometry problem 1359

Geometry Problem 1359.
Triangle, Circumcircle, Congruent Angles, Midpoints.

Geometry problem 1355

Geometry Problem 1355.
Triangle, Midpoint, Median, Circle, Chord, Equal Product of measure of segments.

Geometry problem 1351

Geometry Problem 1351.
Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars.

Geometry problem 1342

Problem 1342.
Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral.

Geometry problem 1336

Problem 1336.
Right Triangle, Cevian, Double Angle, Perpendicular, 90 Degrees.

Geometry problem 1325

Geometry Problem 1325.
Octagons, Midpoints, Squares, Mobile Apps, iPad.

Geometry problem 1317

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

Geometry problem 1316

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

Geometry problem 1302

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

Geometry problem 1301

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

Geometry problem 1298

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

Geometry problem 1294

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

Geometry problem 1293

Geometry Problem 1293.
Triangle, Altitudes, Two Squares, Center, Concurrent Lines, Midpoint.

Geometry problem 1291

Geometry Problem 1291.
Three Squares, Collinear Vertices, Midpoint, Congruence.

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Last updated: Mar 29, 2019