Free Ways to Learn Proofs in Geometry

Geometric proofs require solvers to show how an answer is derived.

Geometric proofs require solvers to use a logical series of steps to "prove" a solution to a problem. Proofs incorporate basic math and algebra, but they also require the solver to have familiarity with geometric theories and hypotheses. The step-by-step process of basic proofs provides the foundation for solving more complex mathematical problems.

Online Study Guides

An easy and free way to learn proofs in geometry is to take advantage of online study guides. Various publishers of educational aids offer free content online to teach users about the basics of geometric proofs. Spark Notes, for instance, outlines the basic structure of a proof, explains the difference between direct proofs and indirect proofs, identifies relevant terms and provides practice problems and solutions for users to test their comprehension of the concepts.

Worksheets and Lesson Plans

Geometric proofs are taught in most high school geometry classes. Teachers may use the same lesson plans year to year to teach the concepts of proofs to students. You can contact high school geometry teachers to request a copy of lesson plans related to geometric proofs. Teachers may also provide you with copies of worksheets used to practice proofs. You may have to pay a minimal fee for copying charges. Also, many teachers post lesson plans and worksheets on teacher or other educational websites for other teachers to use.

Audited Class

Geometric proofs are sometimes taught in introductory geometry classes at the college or community college level. Some post-secondary institutions allow members of the public to audit a class or two (not the entire course) at no charge. Contact any local institutions to inquire if this is a possibility.

Used Textbooks

Textbooks are constantly updated, and instructors often discard or donate old textbooks. Contact geometry instructors at the high school and college levels to request any textbooks that are no longer used. Older editions may be dated in terms of photographs, style and format, but the concepts related to geometric proofs are still applicable and unchanged.

References

• Spark Notes: Geometric Proofs
• Textbooksfree.org: Free Textbooks Internet Library

Resources

• Dummies.com: Mastering the Formal Geometry Proof