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? \t\t

Solution:

The rotation puts the F under the $x$ -axis with its lines going to the right.

Then, note that a half turn is the same as reflecting upon both axes in any order, so it undoes the reflection upon the $y$ -axis and reflects it upon the $x$ -axis. This means the last two turns just reflects it upon the $x$ -axis.

The reflection puts the F above the $x$ -axis with its lines going to the right.

Thus, the correct answer is E .

2015 AMC 10B Problem 8

Solution:

Problem 8 in Other Years