Question

in this figure, \\( \overline { a b } \\) and \\( \overline { c d } \\) are parallel. \\( \overline { a b } \\) is perpendicular to line segment. if the length of \\( \overline { e f } \\) is a units, then the length of \\( \overline { g h } \\) isunits.

Explanation:

Step1: Recall the property of parallel lines

If two lines are parallel, the perpendicular distance between them is constant.

Step2: Analyze the given figure

Since \(\overline{AB}\parallel\overline{CD}\), and \(\overline{GH}\perp\overline{AB}\), \(\overline{EF}\perp\overline{CD}\). The lengths of \(\overline{GH}\) and \(\overline{EF}\) represent the perpendicular distance between the parallel lines \(\overline{AB}\) and \(\overline{CD}\).

Answer:

\(a\)