Question

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:What transformation did Kim perform to create rectangle A'B'C'D' ?A. Rotation of 270 degrees counterclockwise about the originB. Reflection across the line of symmetry of the figureC. Reflection across the y‐axisD. Rotation of 90 degrees counterclockwise about the origin

Answer 1

In order to transform from ABCD into A'B'C'D', we can see that the orientation is different, therefore we need a rotation.

Looking at the coordinates, the x and y coordinates of every point were swapped, and the signal was reajusted so all coordinates are positive (since the figure is in the 1st quadrant), so that means we had a rotation over the origin.

The original figure is in the 2nd quadrant and the new figure is in the 1st one, so the rotation is 90° clockwise (or 270° counterclockwise).

Therefore the correct option is A.