2022 AMC 8 Problem 4

Attempt Problem 4 of the 2022 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2022 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

4.

The letter M in the figure below is first reflected over the line qq and then reflected over the line p.p. What is the resulting image?
Answer: E
Concepts:reflection (geometry)transformation
Small hint:
Reflecting over qq moves the letter across the diagonal line
Big hint:
After the first reflection, reflect the new image over the horizontal line pp
Solution:
Reflecting over the diagonal line qq changes the orientation of the letter as if the diagonal were a mirror. Reflecting that image over the horizontal line pp then places the final letter below pp, to the right of the vertical line, with the orientation shown in choice E.
Thus, the correct answer is E.
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