Machu Picchu, Geometry Theorems, Problems, Online Education

Online Geometry: Congruence, Rotation, Translation, Reflection - Page 1

Congruence, Translation, Rotation, Reflection

Euclid's Elements 23 definitions

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

Perpendicular Bisector Index

Perpendicular Bisector.

Kaleidoscope Index

Kaleidoscope Index.

Congruent triangle video

Congruent Triangles: SAS, SSS, ASA. Demonstrates with animation the various relationships of angles and sides to congruency in triangles.

a

Euclid's Elements Book I, Proposition 4: (Side-Angle-Side SAS)

Symmetry 2D

Symmetry (1966). Greatest film, a fantasy of dancing images breaking apart, spinning, and converging. Produced by the University of Washington, the Commission on College Physics, and the Polytechnic Institute of Brooklyn.

iPad Geoboard: Pythagorean Theorem proof by Leonardo 

Geoboard for iPad Pythagorean Theorem Proof by Leonardo.

iPad Geoboard: Pythagorean Theorem proof 

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

iPadd Apps Geoboard, triangle with two squares

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

Semiperimeter and excircles of a triangle.

 

Semiperimeter and incircle of a triangle.

Semiperimeter, incircle and excircles of a triangle.

 

Parallelogram with Squares theorem Thébault's Theorem.
 

Johnson: Intersecting circles

Johnson's Theorem, Intersecting circles.
HTML5 Animation

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

 

Van Aubel

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

Langley's Problem Adventitious angles. 20° isosceles triangle with animation.
 

Geometry problem 868, Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence

Geometry Problem 868
Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence.

Geometry problem 867, Isosceles Triangle, Median, Perpendicular, Angle, Congruence

Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence.

Geometry problem 866, Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees

Geometry Problem 866
Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees.

Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence

Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence.

Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector.

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines.

Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines.

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

Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

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

Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

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

Geometry Problem 843
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity.

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

Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

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

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

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.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

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

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, 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.

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
.

Square, Circle, Angle

Geometry Problem 752.
Square, Circle, Tangent, Chord, Angle.

Circle, Chord, Congruence, 90 Degrees

Geometry Problem 745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations.

Orthic triangle, geometry problem

Geometry Problem 735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence.

Triangle, Median, Isosceles, Congruence, Parallel

Geometry Problem 734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint.

Triangle, Orthocenter, Line Reflection, Concurrency

Geometry Problem 733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency.

Orthic triangle, Orthocenter, Congruence

Geometry Problem 732.
Triangle, Altitude, Orthic Triangle, Orthocenter, Congruence, Parallelogram.

Triangle, Circle, Concurrency

Geometry Problem 728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency.

Triangle, Angles

Geometry Problem 727.
Triangle, Isosceles, Congruence, Angles, Measurement.

Parallelogram, Midpoint, Diagonal, Collinear, Metric Relations, Similarity, Congruence

Geometry Problem 710.
Parallelogram, Midpoint, Diagonal, Collinear Points, Metric Relations, Triangle, Similarity, Congruence.

Triangle, Incircle, Diameter

Geometry Problem 703.
Triangle, Incircle, Tangency point, Diameter, Congruence.

Square, Circle, Area

Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 696.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 695.
Triangle, Angles, Auxiliary Construction, Congruence, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 694.
Triangle, Angles, 30 Degrees, Auxiliary Construction, Mind Map, Polya.

Isosceles triangle 80, 20, 20 degrees

Geometry Problem 691.
Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya
.

Triangle, Excircles, Tangent

Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines, Semi-perimeter, Congruence.

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HomeGeometry | Congruence | Email | By Antonio Gutierrez