Question

problem 15: (first taught in lesson 44) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: m∠l < m∠n; prove: $\frac{1}{2}$m∠l < $\frac{1}{2}$m∠n

Explanation:

Step1: Recall inequality property

The Multi -plication Property of Inequality states that if \(a < b\) and \(c>0\), then \(ac < bc\).

Step2: Identify values in given problem

Here \(a = m\angle L\), \(b = m\angle N\), and \(c=\frac{1}{2}\) (since \(\frac{1}{2}>0\)).

Step3: Apply the property

Since \(m\angle L < m\angle N\) and \(\frac{1}{2}>0\), by the Multi -plication Property of Inequality, \(\frac{1}{2}m\angle L<\frac{1}{2}m\angle N\).

Answer:

The Multi -plication Property of Inequality.