Don't Let Geometry
Proofs Get You Down!
By Marilyn Brown
Geometry proofs aren't as frightening as they may seem. Try these tips and hints to help improve your geometry scores!
Memorize
To successfully complete geometry proofs, you must memorize each definition, property, postulate, theorem and corollary. Memorize. Do not just become familiar with them; memorize them. They are the steps one uses to solve geometry problems, called proofs.Memorize the content not just the number. This seems like more work but it will actually help you solve the problems. In the proof you may find words that will clue you to the next step. A number would not give you the hint you needed. And secondly, not all geometry courses use the exact same numbering system; therefore you must learn the concepts. I asked two current geometry students what advice they would give a student just starting geometry. Both immediately said, “Memorize!”
Hints
Mark the drawings according to what is given. 1. Use tracing paper, if you are not to write in your text.
2. If two or more triangles overlap, draw or trace them apart, so you can see each separately. Study the drawing and information given. 1. Be sure you understand what you are trying to prove. What are some ways this can be proven?
2. Is there a special shape with special rules (right triangles, equilateral triangles, parallel lines…)? Start the geometry proof. 1. Work forward as far as you can. Then work backward. See if you can fill in the middle.
2. Mark your drawing as you go. Have a reason for every mark you make and be sure you write it in your proof.
3. Use every bit of given information. Make certain you don’t overlook a given fact.
4. Read the most recently taught concepts again. Often proofs are placed in the text in certain places because of the skills they require.
Notes
Even though I am sure you will memorize everything, you should keep notes of each item because there is much to memorize. Seeing the notes may remind you of forgotten concepts. Some students keep a notebook, or handbook, of information in the order taught. Others organize it by concept or type (lines, triangles, definitions, postulates…). Some students use note cards so they can be reorganized as best fits the current lessons. Other students keep the notes on the computer and print it out when needed. Some students use color to organize the information.
Tests
A very few courses and instructors allow use of all notes for all tests. (I never had any of those. I always had to memorize.)Many others limit the students to using only the notes that will fit on one note card or one sheet of notebook paper. Some allow students to use all old notes but none from the current material. Know what is expected and be prepared.Geometry proofs on tests will be similar to those assigned and in the examples. Know the common pattern of proofs that you have studied. The test is meant to check your ability to use what you have practiced. The proofs will be like those you have studied.
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