Question

which side in the new square corresponds to side sr?
side ad
side dc
side cb
side ba

Explanation:

Step1: Analyze rotation of square

When a square is rotated 90 - degree counter - clockwise around the origin, we can use the rules of coordinate transformation for rotation. For a point \((x,y)\) rotated 90 - degree counter - clockwise around the origin, the new coordinates \((x',y')\) are \((-y,x)\). In terms of sides of a square, we can consider the relative positions of the vertices.

Step2: Match sides

By observing the orientation of the square before and after rotation and the relative positions of the sides, we can match the sides. If we assume the original square has vertices in a certain order and we rotate it 90 - degree counter - clockwise, side SR will correspond to side DC.

Answer:

side DC