Properties of Equality and Congruence

Justify each step with a named property.

Lesson 3 of 53 parts Practice Flashcards

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Equality Properties

Objective: Apply reflexive, symmetric, transitive, and substitution properties.

Reflexive: a=a; symmetric: if a=b then b=a; transitive: if a=b and b=c then a=c; substitution replaces equals by equals in valid expressions.

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Equality Properties

Objective: Apply reflexive, symmetric, transitive, and substitution properties.

Reflexive: a=a; symmetric: if a=b then b=a; transitive: if a=b and b=c then a=c; substitution replaces equals by equals in valid expressions.

Operations on Equal Quantities

Objective: Use addition, subtraction, multiplication, and division properties.

If a=b, adding, subtracting, or multiplying both sides by the same value preserves equality; division by the same nonzero value also preserves equality.

Congruence Properties

Objective: Use reflexive, symmetric, and transitive congruence.

Congruent figures or segments have equal corresponding measures. Congruence is reflexive, symmetric, and transitive on figures of the same kind.

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