Question

what is the final transformation in the composition of transformations that maps pre - image abcd to image a\b\c\d\? a translation down and to the right a translation up and to the right a 270° rotation about point b a 180° rotation about point b

Explanation:

Step1: Observe the transformation

By looking at the pre - image ABCD and image A''B''C''D'', we can rule out translations as the orientation of the figure has changed significantly.

Step2: Analyze rotation

The figure has been rotated around a point. By observing the position of the points relative to B', we can see that it is a 270 - degree rotation. A 180 - degree rotation would result in a different orientation.

Answer:

a 270° rotation about point B'