2015 AMC 10B Problems/Problem 8

Problem

The letter F shown below is rotated $90^\circ$ clockwise around the origin, then reflected in the $y$-axis, and then rotated a half turn around the origin. What is the final image?

Foriginal.png

Fproblem.png

Solution

The first rotation moves the base of the $F$ to the negative $y$-axis, and the stem to the positive $x$-axis. The reflection then moves the stem to the negative $x$-axis, with the base unchanged. Then the half turn moves the stem to the positive $x$ axis and the base to the positive $y$-axis, choice $\boxed{\mathbf{(E)}}$.

See Also

2015 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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