How to Do Math Proofs Geometry?

Identify the given information

Identify what must be proved

Draw and label the diagram

Mark known sides, angles, and relationships

List relevant definitions, postulates, and theorems

Use logical steps to connect the givens to the conclusion

Justify each step with a reason

Use congruence or similarity when applicable

Use angle relationships such as vertical angles, complementary angles, supplementary angles, and parallel line angle rules

Use triangle properties such as angle sum, side-angle relationships, and special triangle rules

Use coordinate geometry when helpful

Use algebra to solve for unknown measures

Write the proof in a clear format

Check that every statement has a valid reason

Verify that the final statement matches what was required to prove

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