Question

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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 } \\) is
units.
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Explanation:

Step1: Recall the property of parallel lines

Since \( \overline{AB}\parallel\overline{CD}\) and \( \overline{GH}\perp\overline{CD}\), \( \overline{EF}\perp\overline{CD}\), the distance between two parallel lines is constant.

Step2: Determine the length of \( \overline{GH}\)

The length of \( \overline{GH}\) is equal to the length of \( \overline{EF}\) because they are both perpendicular segments between the parallel lines \( \overline{AB}\) and \( \overline{CD}\).

Answer:

\(a\)