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2015 AMC 10B Problems/Problem 8

Revision as of 17:24, 4 March 2015 by DPER2002 (talk | contribs) (Created page with "==Problem== The letter F shown below is rotated <math>90^\circ</math> clockwise around the origin, then reflected in the <math>y</math>-axis, and then rotated a half turn aro...")
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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 $\boxed{\mathbf{(E)}}$.

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