Machu Picchu, Geometry Theorems and Problems, Online Education

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

Euclidean Geometry

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.

Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral

Geometry Problem 788
Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral.

Right Triangle, Altitude, Incircle Index

Right triangle, Altitude, Incircle
Right Triangle, Altitude to the Hypotenuse, Incircle, Incenter, Inradius, Angle Bisector, Theorems and Problems, Index.

Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations

Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations.

Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio

Geometry Problem 786
Right Triangle, Altitude, Hypotenuse, Cevian, Perpendicular, Ratio, Metric relations.

Equilateral Triangle, Parallel, Perpendicular

Geometry Problem 785
Equilateral Triangle, Parallel, Perpendicular.

Triangle, Orthocenter, Midpoint

Geometry Problem 784
Triangle, Orthocenter, Altitude, Midpoint of a side, Perpendicular.

Triangle, Orthocenter, Circumcircle, Diameter, Midpoint

Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint.

Triangle, Orthocenter, Circumcircle, Diameter, Altitude, Parallelogram

Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram.

Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular

Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular.

Isogonal Lines

Isogonal Lines.
Theorems and Problems.

Triangle, Orthocenter, Inradius, Circumradius

Geometry Problem 780
Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices.

Triangle, Orthocenter, Midpoint, 90 Degrees

Geometry Problem 779
Triangle, Altitude, Orthocenter, Midpoint, Angle, 90 Degrees.

Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Triangle, Distance from the Orthocenter, Vertex, Circle, Circumradius, Cosine

Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine.

Triangle, Isogonal lines, Congruent angles, Perpendicular

Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint.

Triangle, Isogonal lines, Congruent angles, Perpendicular

Geometry Problem 775
Triangle, Isogonal lines, Congruent angles, Perpendicular, Metric Relations.

Triangle, Two Altitudes, Circumcircle, Tangent, Parallel

Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel.

Intersecting Circles, Midpoint, Secant, Bisection

Geometry Problem 773
Intersecting Circles, Midpoint, Secant line, Bisection.

Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations

Geometry Problem 772
Similar triangles with a Common Vertex, Equal Angles, Midpoints, Metric relations.

Parallelogram, Star, Pentagon, Area

Geometry Problem 771
Area of a Parallelogram, Star, Pentagon, Triangles.

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

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

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

Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence.

Parallelogram with wquilateral triangles

Geometry Problem 768
Parallelogram with Equilateral Triangles on Sides.

Equilateral triangle, Circle, Tangent

Geometry Problem 767
Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant.

Triangle, Inradius, Exradii, Harmonic Mean

Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean.

Triangle, Inradius, Exradii, Harmonic Mean

Geometry Problem 765
Triangle, Inradius, Exradii, Three Exradius, Harmonic Mean.

Triangle, Inradius, Altitudes, Harmonic Mean

Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean.

Parallelogram, Diagonal, Parallel, Congruence

Geometry Problem 763
Parallelogram, Diagonal, Parallel, Congruence.

Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle

Geometry Problem 762
Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle.

Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle

Geometry Problem 761
Scalene Triangle with an angle of 60 degrees, Euler Line, Equilateral Triangle.

Isosceles Triangle, Circle, Diameter, Altitude, Chord

Geometry Problem 760
Isosceles Triangle, Circle, Diameter, Altitude, Chord, Metric relations.

Equilateral Triangle,Trisection, Cevian, Perpendicular

Geometry Problem 759
Equilateral Triangle, Transversal, Trisection of sides, Congruence, Angle.

Equilateral Triangle,Trisection, Cevian, Perpendicular

Geometry Problem 758
Equilateral Triangle, Cevians, Trisection of sides, Congruence, Perpendicular, 90 Degrees
.

Equilateral Triangle, Circumcircle, Chord, Harmonic Mean

Geometry Problem 757
Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean
.

iPad App Apollonius Interactive Geometry Software, Four Circles

iPad Apps: Apollonius Software. Four Circles Theorem.
Interactive Geometry Software

Four Circles Theorem. TracenPoche

Geometry Problem 756: Four Circles Theorem
Using TracenPoche Interactive Dynamic Software
.
Step-by-Step construction, Manipulation, and animation.

Equilateral triangle, Circumcircle, Midpoint

Geometry Problem 755.
Equilateral Triangle, Circumcircle, Chord, Arc, Midpoints, Perpendicular.

Equilateral triangle, Perimeter

Geometry Problem 754.
Equilateral Triangle, Center, Angle, 60 Degrees, Perimeter.

Go to Page: Previous | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | Next

 

 

Home | SearchGeometry | Email | By Antonio Gutierrez