If PQ=3 and PQ+RS=5, then 3+RS=5 is an example of the ___________.

A. multiplication property of equality
B. reflexive property of equality
C. transitive property of equality
D. substitution property of equality

Substitution

To answer this question, we need to identify which property of equality is being used in the given statement: 3 + RS = 5.

Let's analyze the options:

A. The multiplication property of equality: This property applies when you multiply both sides of an equation by the same non-zero number. It is not relevant to the given statement.

B. The reflexive property of equality: This property states that any value is equal to itself. It is not applicable here because we are not dealing with identical values on both sides of the equation.

C. The transitive property of equality: This property states that if a = b and b = c, then a = c. It does not directly relate to the equation in the statement.

D. The substitution property of equality: This property allows us to substitute equal values for each other in an equation. It applies to the given statement since we are substituting the value 5 for PQ + RS.

Therefore, the correct answer is D. substitution property of equality.

multiplication property of equality