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Writing Proofs
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Properties of Equality and Congruence

In writing proofs, you may need to use some algebraic properties of equality and inequality. The lengths of segments and the measures of angles are real numbers; hence, algebraic properties can be used to prove their relationships.

Some applications of these properties on segments and angles are discussed in the following table:

Using the definitions of congruent segments and angles, you can obtain the properties of congruence of segments and angles, as presented in the following table: