2022 AMC 12B Problem 5
Attempt Problem 5 of the 2022 AMC 12B 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 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
The point is rotated counterclockwise about the point What are the coordinates of its new position?
Answer: B
Small hint:
Translate so the center of rotation is the origin, rotate, then translate back
Big hint:
A counterclockwise rotation sends to
Solution:
Relative to the center the point is at
A counterclockwise rotation sends to so becomes
Translating back gives
Thus, the correct answer is B.
Problem 5 in other years
- 1950 AMC 12
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