Question

1. consider the true expression:

if $ab = cd$ and $cd = ef$ then $ab = ef$
which of the following properties does this illustrate?
a. the reflexive property of equality.
b. the transitive property of equality.
c. the addition property of equality.
d. the multiplication property of equality.
e. the symmetric property of equality.

Explanation:

The given statement follows the structure: if \(a = b\) and \(b = c\), then \(a = c\), which matches the definition of the transitive property of equality. Other properties do not fit: reflexive is \(a=a\), symmetric is if \(a=b\) then \(b=a\), addition/multiplication properties involve modifying both sides of an equality with operations.

Answer:

B. The transitive property of equality.