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?

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 $\boxed{\mathbf{(E)}}$ .

2015 AMC 10B (Problems • Answer Key • Resources)
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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2015 AMC 10B Problems/Problem 8

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