If 8 = x and x = y, then 8 = y is an example of which algebraic property?
Symmetric Property.
Transitive Property.
Reflexive Property.
Commutative Property of Multiplication.
Solution:
Transitive means to transfer.
"If a, b, and c are three quantities, and if a is related to b by some rule and b is related to c by the same rule, then a and c are related to each other by the same rule."
This property is called Transitive Property.
We know that transitive property can be applied to algebraic expressions, numbers and geometrical concepts such as congruent angles.
General formula of transitive property for real numbers a, b and c is
If a = b and b = c then c = a
According to this expression,
8 = x and x = y,
then 8 = y where a = 8, b = x and c = y.
Therefore,
8 = x and x = y, then 8 = y is an example of transitive property.
If 8 = x and x = y, then 8 = y is an example of which algebraic property?
Summary:
If 8 = x and x = y, then 8 = y is an example of transitive property.
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