name the property of equality that justifies the statement if p=w then q=p
The property of equality that justifies the statement "if p=w then q=p" is the Symmetric Property of Equality. According to this property, if two quantities are equal, then switching the order of the quantities does not alter their equality.
The property of equality that justifies the statement "if p=w then q=p" is the Transitive Property of Equality. According to this property, if two quantities are equal to the same value, then they are equal to each other. In this case, since p equals w and q also equals p, we can use the Transitive Property of Equality to conclude that q equals w.
The property of equality that justifies the statement "if p = w, then q = p" is the transitive property of equality.
To understand this, let's break it down:
1. Assume that p = w is true.
2. By the transitive property of equality, if two quantities are equal to the same quantity, then they must be equal to each other.
3. In this case, since p = w and q = p, we can conclude that q = w.
Therefore, the transitive property of equality justifies the statement "if p = w, then q = p."