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The reflexive property can be used to justify algebraic manipulations of equations. For example, the reflexive property helps to justify the multiplication property of equality, which allows one to multiply each side of an equation by the same number.

The reflexive property of congruence is often used in geometric proofs when certain congruences need to be established. For example, to prove that two triangles are congruent, 3 congruences need to be established (SSS, SAS, ASA, AAS, or HL properties of congruence). If a side is shared between triangles, then the reflexive property is needed to demonstrate the side's congruence with itself.

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Reflexive Property | Brilliant Math & Science Wiki

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The reflexive property can be used to justify algebraic manipulations of equations. For example, the reflexive property helps to justify the multiplication property of equality, which allows one to multiply each side of an equation by the same number. The reflexive property of congruence is often used in geometric proofs when certain congruences need to be established.