# Isosceles Right Triangle 10-fold card

This project can be used in many ways. With color graphics, as shown near the bottom of this page, it is a very beautiful piece of geometric artwork, whether it is small as in this example, or much larger. Some of our students have used this idea as a party project, pasting photographs of friends and family, to make a three-dimensional photo display. Students can use this pattern as a review sheet, writing theorems and formulas as shown in the examples that follow.

However the student chooses to use it, the project folds up into a nice small "package" to carry with them. Of course, they must not use this as a "cheat sheet" during your test, but they will find it handy to study before the test.

A teacher might suggest the following to the students:

The best way to use this worksheet for studying is to read the theorems for 2 or 3 minutes, then fold or turn the paper over (or close your eyes), and try to "visualize" the figures, and remember the relationships and the numbers. Then check to see if you were correct. Do this two or three times in a row, over a period of a day or two, and you will find it really helps you to remember the concepts!

Of course, review sheets can be created for any topic in the Geometry curriculum, using this pattern! Additional, "traditional" worksheets are also helpful, as in the examples at the end of this page.

You can fold this card into a small package that will fit in your pocket or purse. the dashed diagonal lines are "mountain folds" and the solid diagonals are "valley folds", using origami terminology.

The card below is decorated with geometric graphics, created by students. To see more student graphics, please click the link below the graphic:

http://mathforum.org/~sanders/mathart/

And this is sensitivity..., the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely esthetic feeling, which all mathematicians know.Henri Poincare