Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ad = bc prove: $\frac{1}{2}$ad = $\frac{1}{2}$bc

Explanation:

Step1: Recall property of equality

The Multiplication Property of Equality states that if \(a = b\), then \(ca=cb\) for any real - number \(c\).

Step2: Identify values

Here \(a = AD\), \(b = BC\), and \(c=\frac{1}{2}\). Given \(AD = BC\), when we multiply both sides of the equation by \(\frac{1}{2}\), we get \(\frac{1}{2}AD=\frac{1}{2}BC\) according to the Multiplication Property of Equality.

Answer:

The property that justifies the prove statement is the Multiplication Property of Equality.