Question

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?

Answer: E

Concepts:transformation

Difficulty rating: 1140

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 .

2015 AMC 10B Problem 8

Answer: E

Difficulty rating: 1140

Solution:

Problem 8 in Other Years