Question

polygon abcd reflects about line mn to make polygon efgh. what is the length of (overline{fg})?
a. 3 units
b. 2.2 units
c. 3.2 units
d. 2 units

Explanation:

Step1: Recall reflection property

Reflection preserves side lengths, so corresponding sides of congruent polygons (pre - image and image) are equal.

Step2: Identify corresponding sides

In polygon \(ABCD\) and its reflection \(EFGH\), side \(BC\) in \(ABCD\) corresponds to side \(FG\) in \(EFGH\).

Step3: Determine length of \(BC\)

From the diagram, the length of \(BC\) is \(2\) units. Since \(FG\) corresponds to \(BC\), \(FG = BC\).

Answer:

D. 2 units