2015 AMC 10B Problem 8

Problem 8 of 25EasierGeometry

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?

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Solution

The first rotation puts the F below the

x

-axis. A half turn is equivalent to reflecting in both coordinate axes. Therefore the final half turn cancels the preceding reflection in the

y

-axis and leaves a reflection in the

x

-axis. Reflecting the rotated figure in the

x

-axis produces choice E. Thus, the correct answer is E .