Machu Picchu, Geometry Theorems and Problems, Online Education

Geometry Theorems and Problems - Recent Additions (Page 5 of 15)

Euclidean Geometry

Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity.

van Lamoen Circle Index

van Lamoen Circle - Index.

Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity

Geometry Problem 840
Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity.

Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations

Geometry Problem 839
Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations.

Parallelogram, Perpendicular, Diagonal, Metric Relations

Geometry Problem 838
Parallelogram, Perpendicular, Diagonal, Metric Relations.

Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points

Geometry Problem 837
Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points.

Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations

Geometry Problem 836
Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations.

Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines

Geometry Problem 835
Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines.

Prezi Presentation: A Geometry Course by Mark Vasicek

Prezi Presentation: A Geometry Course by Mark Vasicek
 

Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional

Geometry Problem 834
Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional.

Mean in Geometry, Index

Mean in Geometry.
Index.

Parallelogram, Diagonal, Similarity, Proportion

Geometry Problem 833
Parallelogram, Diagonal, Similarity, Proportion.

Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence

Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence.

Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations

Geometry Problem 829
Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations.

Geometry Problem Quadrilateral Midpoint

Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian.

Semicircle, Chord, Arc, Area

Geometry Problem 827: Brianchon Corollary
Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines.

Brianchon's Theorem, Circumscribed Hexagon, Concurrent Diagonals

Geometry Problem 826: Brianchon's Theorem
Circumscribed Hexagon, Concurrent Diagonals.

Semicircle, Chord, Arc, Area

Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Desargues' Theorem, Triangles in Perspective

Geometry Problem 824
Desargues' Theorem, Triangles in Perspective.

Tangent Circles, Diameter, Perpendicular, Triangle, Area, Tangency Point

Geometry Problem 823.
Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point.

Area of a Circle

Circle Area. Index.
Theorems and Problems. 
 

Semicircle, Chord, Arc, Area

Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Adams Circle

Geometry Problem 821.
Adams Circle.

Triangle, Angles, 30 Degrees

Geometry Problem 820.
Triangle, Cevian, Angles, 30 Degrees.

Geometry problems 811-820

Geometry Problems 811 - 820.
Triangle, Circle, Quadrilateral, Square, Pitot Theorem, Arbelos, Tangent, 30 Degrees.

Quadrilateral, Triangle, Angles

Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees.

Square, Triangle, Angle

Geometry Problem 818.
Square, Triangle, Angle.

Two Circles, Tangent Lines

Geometry Problem 817.
Two circles, Tangent Lines, Circumscribed Quadrilaterals.

Tangential Quadrilateral: Pitot Theorem

Geometry Problem 816.
Tangential or Circumscribed Quadrilateral: Pitot Theorem.

Triangle, Incircle, Arbelos, Area

Geometry Problem 815.
Triangle, Incircle, Semicircles, Arbelos, Area.

Equilateral triangles, a common vertex

Geometry Problem 814.
Two Equilateral Triangles with a common Vertex, Angle.

Right triangle, Excircles, Area

Geometry Problem 813.
Right Triangle Area, Excircles, Cathetus, Tangency Points, Quadrilateral Area.

Circle Area, Tangent 

Geometry Problem 812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers.

Trisecting a line segment, 4 circles

Geometry Problem 811: Trisecting a line segment.
With four circles and one line.

Trisecting a line segment, 2 circles

Geometry Problem 810: Trisecting a line segment.
With two circles and eight lines.

Trisecting a segment with three circles

Geometry Problem 809: Trisecting a line segment.
With three circles and four lines.

Parallelogram, Perpendicular, Semicircle, Area

Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter.

Right Triangle Area, Incircle, Semicircle

Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area.

Lines, Theorems and  Problems Index

Lines. Theorems and Problems.

Trisecting a Line Segment Theorems and Problems

Trisecting a Line Segment.
Theorems and Problems

Triangle, Circumcenter, Similarity

Geometry Problem 806
Triangle, Points on sides, Circumcenter, Similarity.

Area of a Right Triangle, Theorems and Problems

Area of a Right Triangle, Theorems and Problems.

iPad Apps IGS Apollonius: Right triangle, altitude, incenters 

iPad Apps: Apollonius Software. Problem 794: Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.
Interactive Geometry Software.

Stewart Theorem

Geometry Problem 805, Stewart Theorem
Triangle, sides and a cevian.

iPad Apps: Apollonius Geometry Software

iPad Apps: Apollonius, Interactive Geometry Software IGS Index.
Theorems and Problems with Apollonius for iPad.

Butterfly theorem

Geometry Problem 804
Circle, Chord, Midpoints.

Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement

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

iPad Geoboard: Pythagorean Theorem proof by Leonardo 

Geoboard for iPad Pythagorean Theorem Proof by Leonardo.

Polygon definition

Polygon definition

Geoboard: Squares, midpoints of sides

Geoboard for iPad Gallery: Squares inscribed in squares.
Midpoints of the sides, Sequence, Recursive Form, Areas

iPadd Apps Geoboard, triangle with two squares

Geoboard for iPad Gallery: Triangle with two squares (Problem 496).

iPad Geoboard: Six squares with a common vertex 

Geoboard for iPad Gallery: Six squares with a common vertex.

Triangle definition

Triangle definition

Geoboard for iPad Index

Geoboard for iPad Index.
This virtual version is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPod Touches, iPhones, or iPads

iPad Geoboard: Pythagorean Theorem proof 

Geoboard for iPad Pythagorean Theorem Proof, Squares (Problem 540).

Scalene Triangle, Median, Perpendicular, Angle, Measurement

Geometry Problem 802
Scalene Triangle, Median, Perpendicular, Angle, Measurement.

Equilateral Triangles, Midpoint

Geometry Problem 801
Equilateral Triangles, Cevian, Midpoint, Distance, Measurement, Metric Relations.

de Gua's theorem

Geometry Problem 800: de Gua's Theorem
Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area.

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

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

Parallelogram, Secant Line, Tangent Circles, Triangle

Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle.

Parallelogram, Angle Bisector

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

Triangle, Altitude, Angle

Geometry Problem 796
Triangle, Altitude, Measurement of Angles.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

Geometry Problem 795
Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.

Right Triangle, Altitude, Three Incircles, Circumradius

Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance.

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.

Regular Hexagon, Midpoints, Equilateral Triangle

Geometry Problem 791
Regular Hexagon, Midpoints of Side and Diagonal, Equilateral Triangle, Area.

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.

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