Question

from each given statement below, select the definition, property, or postulate that justifies the prove statement. 9. (13) given: (\frac{1}{2}mangle wdr = 23) prove: (mangle wdr = 46) a. reflexive property b. multiplication property c. definition of an angle bisector d. division property e. transitive property

Explanation:

To go from \(\frac{1}{2}m\angle WDR = 23\) to \(m\angle WDR=46\), we multiply both sides of the equation by 2. The Multiplication Property of Equality states that if \(a = b\), then \(ac=bc\) (here \(a=\frac{1}{2}m\angle WDR\), \(b = 23\), and \(c = 2\)). The Reflexive Property is about a quantity being equal to itself (\(a=a\)), the angle bisector definition relates to splitting an angle into two equal parts, the Division Property would involve dividing both sides, and the Transitive Property is about \(a = b\) and \(b=c\) implying \(a = c\). So the Multiplication Property justifies the step.

Answer:

B. Multiplication Property