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Congruent Angles and Angle Bisectors

Bisectors split the angle into two equal halves.

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The Art of Bisecting Angles

Credit: Brett Jordan
Source: http://www.flickr.com/photos/x1brett/5657827090/
License: CC BY-NC 3.0

What’s the use of an angle bisector? If you want to fold paper to make art, you need to master the angle bisector. Origami is a Japanese art form that creates a complex sculpture from a single piece of square paper through a series of folds. Angle bisectors play an important part in the art. 

An Ancient Art That's Taken the World by Storm

In 6th-century Japan, origami was used for religious ceremonies. By the 1800s, children in Japan and Europe were learning origami in their art classes. The art of origami requires patience and time. If the folds aren’t perfect, the final sculpture is ruined. Most origami pieces begin with a few basic folds that create triangles and angle bisectors.

Credit: Laura Guerin
Source: CK-12 Foundation
License: CC BY-NC 3.0

While basic origami is simple enough for a child to replicate, the complex sculptures require experts. People from around the world meet at origami conventions, where they trade designs and teach each other new folds. Some of the sculptures are so incredible that it's hard to believe they came from a single paper square.

See for yourself: http://www.youtube.com/watch?v=xzcaYbSfkTs

Explore More

Do you want to try origami? All you need to start is a square piece of paper and some instructions. Here are a few sites and videos to give you ideas.




Image Attributions

  1. [1]^ Credit: Brett Jordan; Source: http://www.flickr.com/photos/x1brett/5657827090/; License: CC BY-NC 3.0
  2. [2]^ Credit: Laura Guerin; Source: CK-12 Foundation; License: CC BY-NC 3.0

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