Name the Property of Equality that justifies the statement:
If RS = ST and ST = TU, then RS = TU
(1 point)
Responses
Reflexive Property
Reflexive Property
Symmetric Property
Symmetric Property
Transitive Property
Transitive Property
Addition Property
Transitive Property
The property of equality that justifies the statement "If RS = ST and ST = TU, then RS = TU" is the Transitive Property. To understand why, let's break it down:
The Transitive Property of Equality states that if a = b and b = c, then a = c. In this case, RS = ST and ST = TU. By applying the Transitive Property, we can conclude that RS = TU.
To use the Transitive Property, we must first establish the given statements, which are RS = ST and ST = TU. Then, we can combine these statements to make a logical connection. By substituting ST = TU into the first statement, we get RS = TU. This demonstrates the Transitive Property of Equality.