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2022 AMC 10A Problem 18

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2022 AMC 10A Problem 18AMC 10 Step by Step

Name: Date: September 13, 2026

Transformations & Symmetry · difficulty 4 of 5 · about 6 min · position P16-20

Let $T_k$ be the transformation of the coordinate plane that first rotates the plane $k$ degrees counterclockwise around the origin and then reflects the plane across the $y$ -axis. What is the least positive integer $n$ such that performing the sequence of transformations $T_1, T_2, T_3,...,T_n$ returns the point $(1, 0)$ back to itself?

A)
$359$
B)
$360$
C)
$719$
D)
$720$
E)
$721$

2022 AMC 10A Problem 18

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