Question

polygon abcd reflects about line mn to make polygon efgh. what is the length of \\(\overline{fg}\\)?

Explanation:

Step1: Recall Reflection Property

Reflection preserves side lengths, so corresponding sides of the original and reflected polygon are equal.

Step2: Identify Corresponding Side

In polygon \(ABCD\), side \(BC\) has length \(2\). After reflection over line \(MN\), \(BC\) corresponds to \(FG\) in polygon \(EFGH\).

Step3: Determine Length of \(FG\)

Since reflection preserves length, \(FG = BC = 2\).

Answer:

\(2\)