Question

day 3 – wednesday, september 4th show your work fill in the missing justification: • given: ab = cd and cd = ef • prove: ab = ef • reason: ________ property

Explanation:

Step1: Recall Equality Properties

The problem involves equalities \( AB = CD \) and \( CD = EF \), and we need to show \( AB = EF \). The property that states if \( a = b \) and \( b = c \), then \( a = c \) is the Transitive Property of Equality.

Step2: Apply the Property

Here, let \( a = AB \), \( b = CD \), \( c = EF \). Since \( AB = CD \) (given) and \( CD = EF \) (given), by the Transitive Property of Equality, \( AB = EF \).

Answer:

Transitive