Thursday, December 31, 2009

Problem 411: Triangle, Median, Angles

Proposed Problem
Click the figure below to see the complete problem 411 about Triangle, Median, Angles.

Problem 411: Triangle, Median, Angles.
See also:
Complete Problem 411
Level: High School, SAT Prep, College geometry

Tuesday, December 29, 2009

Puzzle based on the Kosnita's Theorem: Circumcenters, Concurrent lines

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Kosnita's Theorem: Circumcenters, Concurrent lines


Puzzle based on the Kosnita's Theorem: Circumcenters, Concurrent lines.
See also:
Puzzle: Kosnita's Theorem

Sunday, December 27, 2009

No. 5, 1948, Jackson Pollock and Golden Rectangles

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Golden Rectangle and No. 5, 1948, Jackson Pollock.


Puzzle: The Golden Rectangle and No. 5, 1948, Jackson Pollock.
See also:
Puzzle: The Golden Rectangle and No. 5, 1948, Jackson Pollock

Puzzle: Euclid's Elements Book I, 23 Definitions

Interactive Puzzle
Click the figure to solve the interactive puzzle about Euclid's Elements Book I, 23 Definitions.


Puzzle: Euclid's Elements Book I, 23 Definitions.
See also:
Puzzle: Euclid's Elements Book I, 23 Definitions

Puzzle: Inca Skull Surgery

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Inca Skull Surgery.


Puzzle: Inca Skull Surgery.
See also:
Puzzle: Inca Skull Surgery

Puzzle: Taj Mahal & Geometry Shapes

Interactive Puzzle
Click the figure to solve the interactive puzzle about the Taj Mahal & Geometry Shapes.


Puzzle: Taj Mahal & Geometry Shapes.
See also:
Puzzle: Taj Mahal & Geometry Shapes.

Problem 410: Two Regular Pentagons, Angle

Proposed Problem
Click the figure below to see the complete problem 410 about Two Regular Pentagons, Angle.

Problem 410: Two Regular Pentagons, Angle.
See also:
Complete Problem 410
Level: High School, SAT Prep, College geometry

Saturday, December 26, 2009

Problem 409: Quadrilateral, Diagonals, Perpendicular, Congruence

Proposed Problem
Click the figure below to see the complete problem 409 about Quadrilateral, Diagonals, Perpendicular, Congruence.

Problem 409: Quadrilateral, Diagonals, Perpendicular, Congruence.
See also:
Complete Problem 409
Level: High School, SAT Prep, College geometry

Friday, December 25, 2009

Problem 408: Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence

Proposed Problem
Click the figure below to see the complete problem 408 about Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.

Problem 408: Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence.
See also:
Complete Problem 408
Level: High School, SAT Prep, College geometry

Thursday, December 24, 2009

Problem 407. Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center

Proposed Problem
Click the figure below to see the complete problem 407 about Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.

Problem 407. Circle, Angle, Tangent, Perpendicular, Secant, Radius, Center.
See also:
Complete Problem 407
Level: High School, SAT Prep, College geometry

Wednesday, December 23, 2009

Problem 406. Right triangle, 15 degrees, Midpoints, Congruence

Proposed Problem
Click the figure below to see the complete problem 406 about Right triangle, 15 degrees, Midpoints, Congruence.

Problem 406. Right triangle, 15 degrees, Midpoints, Congruence.
See also:
Complete Problem 406
Level: High School, SAT Prep, College geometry

Tuesday, December 22, 2009

Saturn and Geometry

Index
Click the figure below to view the Index.

 Saturn and Geometry Index.
See more:
Saturn and Geometry Index

Sunday, December 20, 2009

Problem 405. Quadrilateral, 60, 75, and 135 degrees, Midpoint

Proposed Problem
Click the figure below to see the complete problem 405 about Quadrilateral, 60, 75, and 135 degrees, Midpoint.

 Problem 405. Quadrilateral, 60, 75, and 135 degrees, Midpoint.
See also:
Complete Problem 405
Level: High School, SAT Prep, College geometry

Friday, December 18, 2009

Adding technology to geometry class improves opportunities to learn

A new study co-written by a University of Illinois expert in math education suggests that incorporating technology in high school-level geometry classes not only makes the teaching of concepts such as congruency easier, it also empowers students to discover other geometric relationships they wouldn’t ordinarily uncover when more traditional methods of instruction were used.


Click the figure below to view the study.

 Dynamic Geometry.
See more:
Technology in geometry class

Jenn 3D Software, Mind Map

Jenn 3D is a free software license program (C++/OpenGL) for visualizing regular polytopes in stereographic projection.

Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the Interactive Mind Map.

Jenn 3D for visualizing regular polytopes in stereographic projection, Interactive Mind Map, Interactive Mind Map.
See also:
Jenn 3D Software, Mind Map, Interactive Mind Map

Concurrent Lines, Theorems and Problems

Index
Click the figure below to see the Concurrent Lines, Theorems and Problems Index

 Concurrent Lines, Theorems and Problems.
See more:
Concurrent Lines, Theorems and Problems
Level: High School, SAT Prep, College geometry

Thursday, December 17, 2009

Problem 404. External Equilateral triangles, Congruent and Concurrent Lines

Proposed Problem
Click the figure below to see the complete problem 404 about External Equilateral triangles, Congruent and Concurrent Lines.

 Problem 404. External Equilateral triangles, Congruent and Concurrent Lines.
See also:
Complete Problem 404
Level: High School, SAT Prep, College geometry

Median of a Trapezoid, Theorems and Problems

Index
Click the figure below to see the index.

 DLeonardo da Vinci Polyhedra and Jenn 3D tool.
See more:
Median of a Trapezoid, Theorems and Problems

Leonardo da Vinci Polyhedra and Jenn 3D tool

Index
Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the index.

 DLeonardo da Vinci Polyhedra and Jenn 3D tool.
See more:
Da Vinci dodecahedron and Jenn 3D tool

Da Vinci dodecahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.

 Da Vinci dodecahedron and Jenn 3D tool for visualizing Coxeter polytopes.
See more:
Da Vinci dodecahedron and Jenn 3D tool

Wednesday, December 16, 2009

Da Vinci icosahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.

 Da Vinci icosahedron and Jenn 3D tool for visualizing Coxeter polytopes.
See more:
Da Vinci icosahedron and Jenn 3D tool

Da Vinci octahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.

 Da Vinci octahedron and Jenn 3D tool for visualizing Coxeter polytopes.
See more:
Da Vinci octahedron and Jenn 3D tool

Da Vinci Cube and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.

 Da Vinci cube and Jenn 3D tool for visualizing Coxeter polytopes.
See more:
Da Vinci cube and Jenn 3D tool

Da Vinci tetrahedron and Jenn 3D tool for visualizing Coxeter polytopes

Leonardo da Vinci (1452-1519) was a great lover of geometry. His most outstanding polyhedral accomplishment is the illustrations for Luca Pacioli's 1509 book The Divine Proportion.

Jenn 3D is a free software license program for visualizing regular polytopes in stereographic projection.

Click the figure below to see the illustration.

 Da Vinci tetrahedron and Jenn 3D tool for visualizing Coxeter polytopes.
See more:
Da Vinci tetrahedron and Jenn 3D tool

Circular Sector Theorems and Problems


Click the figure below to see the Circular Sector Theorems and Problems - Index.

 Circular Sector Theorems and Problems.
See also:
Circular Sector Theorems and Problems
Level: High School, SAT Prep, College geometry

Problem 403. Circular sector, 90 degrees, Circle, Semicircle, Area

Proposed Problem
Click the figure below to see the complete problem 403 about Circular sector, 90 degrees, Circle, Semicircle, Area.

 Problem 403. Circular sector, 90 degrees, Circle, Semicircle, Area.
See also:
Complete Problem 403
Level: High School, SAT Prep, College geometry

Tuesday, December 15, 2009

Inca exhibition in Seoul, Korea

National Museum of Korea The Inca civilization, which flourished for hundreds of years and left behind priceless archeological artifacts, will be revived in Seoul. Period: December 11, 2009 - March 28, 2010. Click the figure below to view: "The Great Myth and Mystery of Peruvian Civilization." and explore Korea, Seoul interactive map. Take advantage of the pan and zoom bars to go to Machu Picchu placemark.  Inca exhibition in Seoul, Korea. See more: Inca exhibition in Seoul, Korea

Thursday, December 10, 2009

Problem 402. Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity

Proposed Problem
Click the figure below to see the complete problem 402 about Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity.

 Problem 402. Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity.
See also:
Complete Problem 402
Level: High School, SAT Prep, College geometry

Wednesday, December 9, 2009

Problem 401. Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence

Proposed Problem
Click the figure below to see the complete problem 401 about Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.

 Problem 401. Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector, Congruence.
See also:
Complete Problem 401
Level: High School, SAT Prep, College geometry

Points, Theorems and Problems

Index

Click the figure below to view the index about Points, theorems and problems.

 Points, Theorems and Problems.
See more:
Points, Theorems and Problems

Point in Math, Science, Technology, Interactive Mind Map

Point in Math, Science, Technology, Places, Sports, and Others, Interactive Mind Map.

Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the Interactive Mind Map.

Point Interactive Mind Map.
See also:
Point, Interactive Mind Map

Tuesday, December 8, 2009

Problem 400. Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence

Proposed Problem
Click the figure below to see the complete problem 400 about Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.

 Problem 400. Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.
See also:
Complete Problem 400
Level: High School, SAT Prep, College geometry

Problem 399: Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence

Proposed Problem
Click the figure below to see the complete problem 399 about Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence.

 Problem 399: Right triangle, Midpoints, Distance, Pythagorean theorem, Congruence.
See also:
Complete Problem 399
Level: High School, SAT Prep, College geometry

Saturday, December 5, 2009

Problem 398: Parallelogram, Area, Similarity, Congruence

Proposed Problem
Click the figure below to see the complete problem 398 about Parallelogram, Area, Similarity, Congruence.

 Problem 398: Parallelogram, Area, Similarity, Congruence.
See also:
Complete Problem 398
Level: High School, SAT Prep, College geometry

Thursday, December 3, 2009

Problem 397: Triangle, Altitude, Midpoints, Congruence

Proposed Problem
Click the figure below to see the complete problem 397 about Triangle, Altitude, Midpoints, Congruence.

 Problem 397: Triangle, Altitude, Midpoints, Congruence.
See also:
Complete Problem 397
Level: High School, SAT Prep, College geometry