Question

describe the rotation where △rfb is the preimage and △cxl is the image, using the diagram shown below. four triangles are shown on the coordinate grid. triangles wnk, tmh, and cxl are all rotations of △rfb. 45 degrees four quadrants 180 degrees two quadrants counterclockwise 90 degrees one quadrant three quadrants clockwise 135 degrees

Explanation:

Step1: Recall rotation properties

Rotation is a transformation that turns a figure around a fixed point. A 180 - degree rotation changes the sign of both \(x\) and \(y\) coordinates of each point of the pre - image.

Step2: Analyze the position of \(\triangle RFB\) and \(\triangle CXL\)

If we assume a general point \((x,y)\) in \(\triangle RFB\), after a 180 - degree rotation about the origin \((0,0)\), the image point is \((-x,-y)\). Visually, \(\triangle CXL\) is opposite to \(\triangle RFB\) with respect to the origin. Also, a 180 - degree rotation moves a figure across two quadrants (for example, if a figure is in the second quadrant, after 180 - degree rotation, it moves to the fourth quadrant).

Answer:

180 degrees, two quadrants