Name the property of Equality that justifies this statement
In order to identify the property of Equality that justifies a particular statement, we need to have knowledge about the different properties of Equality. The common properties of Equality are:
1. Reflexive Property: This property states that any value or expression is always equal to itself. For example, a = a.
2. Symmetric Property: This property states that if two values or expressions are equal, then they can be reversed without changing the truth of the statement. For example, if a = b, then b = a.
3. Transitive Property: This property states that if two values or expressions are equal to the same value or expression, then they are equal to each other. For example, if a = b and b = c, then a = c.
4. Substitution Property: This property states that if we have an equation and we substitute equal values or expressions for each other, the equality remains true. For example, if a = b, then a can be substituted with b in any equation.
5. Addition Property of Equality: This property states that if we add the same value or expression to both sides of an equation, the equality is preserved. For example, if a = b, then a + c = b + c.
6. Multiplication Property of Equality: This property states that if we multiply both sides of an equation by the same value or expression, the equality is preserved. For example, if a = b, then a * c = b * c.
7. Division Property of Equality: This property states that if we divide both sides of an equation by the same non-zero value or expression, the equality is preserved. For example, if a = b, then a / c = b / c.
To determine the property of Equality that justifies a particular statement, you need to provide the specific statement for analysis.