"the grid shows figure q and its image figure q’ after a transformation. which transformation was applied on figure q?
a) counterclockwise rotation of 90° about the origin
b) clockwise rotation of 180° about the origin
c) counterclockwise rotation of 270° about the origin
d) clockwise rotation of 270° about the origin
"

The answer is C because if you turned Figure Q 90 degrees clockwise, it matches Q', thus a counterclockwise rotation of 270 degrees around the origin had to have been applied.

A is disqualified because if it had been rotated 90 degrees counterclockwise, it would be in the top left quadrant.

B is disqualified because if it was rotated 180 degrees about the origin, it would be in the bottom left quadrant.

D is disqualified because if rotated 270 degrees about the origin it would be in the top left quadrant, same as answer A.

x = 0.5 or x = 4.5

step-by-step explanation: