What is "which shows the image of rectangle abcd after the rotation (x?

Given an image of a rectangle ABCD after a rotation, the key information revolves around understanding the transformation applied. Here's a breakdown:

• Identifying the Center of Rotation: The first crucial step is determining the point around which the rectangle was rotated. This point remains fixed during the transformation. Sometimes, the center of rotation is explicitly provided.

• Determining the Angle of Rotation: The angle of rotation specifies how many degrees the rectangle has been turned around the center. The rotation can be clockwise or counter-clockwise. Visual inspection, comparing the initial and final orientations, or provided information can help determine the angle. Understanding angle of rotation is crucial.

• Understanding the Properties Preserved in Rotations: Rotations are rigid transformations, meaning they preserve the size and shape of the object. Consequently, the side lengths, angles, and area of the rectangle remain unchanged after rotation. This understanding helps in verifying if the shown image represents a proper rotation. More details on the properties of rotations can be found.

• Coordinate Transformations: If the coordinates of the vertices of the original rectangle ABCD are known, then coordinate transformation formulas related to coordinate%20transformation can be used to calculate the coordinates of the rotated image.