Name the indicated property.
-If x + 9 = y + 5, and y + 5 = z, then x + 9 = z
A)symmetric property
B)addition property
C)transitive property
D)reflexive property

Question

Quizplus · Accepted Answer

This is an example of transitive property, which states that if a = b and b = c, then a = c. In this case, we have x + 9 = y + 5 and y + 5 = z, therefore we can infer that x + 9 = z, using the transitive property. The transitive property of equality states that if a = b and b = c, then a = c. In this case, we have y + 5 = z and x + 9 = y + 5, so by transitivity, we can conclude that x + 9 = z.

Name the Indicated Property