Question

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

Explanation:

The transitive property of equality states that if \( a = b \) and \( b = c \), then \( a = c \). In the given expression, since \( AB = CD \) and \( CD = EF \), we conclude \( AB = EF \), which matches the transitive property. The reflexive property is \( a = a \), symmetric is if \( a = b \) then \( b = a \), addition/multiplication properties involve adding/multiplying equal quantities, so they don't apply here.

Answer:

B. The transitive property of equality.