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Properties of Congruence for Angles and Segments Previously we looked at the Properties of Equality, which applied to numbers. The Properties of Congruence are similar are similar to the Properties of Equality, except that the Properties of Congruence apply to Angles and Segments. Using the word bank at the bottom of the page (and your Properties of Equality for Real Numbers sheet), decide which property is being described. Every angle is equal to itself (e.g., A A ). If two angles are equal, you can write that equality “either way” (e.g., if A B, then B A ). If A B, then A + B B + C and A – C B - C If A B, then A may be replaced by B in any equation or expression. If A B, and B C, then A C. Every segment is equal to itself (e.g., JK JK ). If two segments are equal, you can write that equality “either way” (e.g., if JK LM, then LM JK ). If JK LM, then JK + XY LM + XY, and JK - XY LM - XY If JK LM then JK may be replaced by LM in any equation or expression. If JK LM, and LM BC , then JK BC Word Bank: Transitive Property Reflexive Property Symmetric Property Substitution Property Addition/Subtraction Properties