Step 1: Understanding the Mirroring Process.
The polygon is mirrored five times. A mirror reflection alternates between creating a reverse image and continuing the pattern. Since five is an odd number, the image after the fifth reflection will look like the first image, but with the orientation altered by five mirrorings.
Step 2: Identifying the Image After Five Reflections.
After five reflections, the correct image will match the first one after the five mirrorings. Option (a) A reflects this correctly.
Step 3: Conclusion.
Thus, the correct answer is (a) A, as the image will match the orientation after five mirrorings.
\[
\boxed{\text{The correct answer is (a) A.}}
\]