# Symmetric property of congruence

Congruence shares properties with algebraic equality: transitivity (if A ≅ B and B ≅ C, then A ≅ C), reflexivity (things equal themselves: A ≅ A.

**3 3A Reflexive Property of Congruence**

The symmetric property of congruence states that if a geometric figure is congruent to another, then we can say that the second figure is congruent to the first.

Symmetric Property of Congruence If a given geometric object A is congruent to another geometric object B, then B is also congruent to A. If A ≅ B, then B. Symmetric property of congruence states that if is congruent to then, is congruent to. Let and be two triangles such that ABC is congruent to PQR, then, PQR is.

Substitution m²3. - m 4.m²1= m ²2. 4. Subtraction property of Equality. 5. Definition of congruent angles. = Six steps of a two-column proof are. congruence · The reflexive property: If a is any integer, a ≡ a (mod m), · The symmetric property: If a ≡ b (mod m), then b ≡ a (mod m), · The transitive. Symmetric Property of Congruence: If A B ‾ ≅ C D ‾ \overline{AB}\cong \overline{CD} AB≅CD, then C D ‾ ≅ A B ‾ \overline{CD}\cong \overline{AB} CD≅AB. Learn when to apply the reflexive property, transitive, and symmetric properties in geometric proofs. Learn the relationship between equal measures and.

### The photos above illustrate the Reflexive, Symmetric, and Transitive. Properties of Equality. You can use these properties in geometry with.: Symmetric property of congruence

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