Question

select the correct answer from each drop - down menu. in this figure, $overline{ab}$ and $overline{cd}$ are parallel. $overline{ab}$ is perpendicular to line segment. if the length of $overline{ef}$ is a units, then the length of $overline{gh}$ is units. cf fh dh gh reset next

Explanation:

Step1: Identify perpendicular lines

Since \(AB\) and \(CD\) are parallel, and we are looking for a line perpendicular to \(AB\), from the figure, \(AB\) is perpendicular to \(EF\) and \(GH\). The first - drop down answer is \(EF\) (not in the given options but conceptually correct, and among the options, we assume it's a mis - label and the idea is similar; if we consider the structure, it should be a line segment between \(AB\) and \(CD\) perpendicular to \(AB\)).

Step2: Analyze parallel - perpendicular relationships

Parallel lines \(AB\) and \(CD\) with perpendicular transversals \(EF\) and \(GH\). The distance between two parallel lines is constant along perpendiculars. So if \(EF=a\) units, then \(GH = a\) units.

Answer:

First drop - down: \(EF\) (closest conceptually among options); Second drop - down: \(a\)