what is the final transformation in the composition of transformations that maps pre - image abcd to image…

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

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

Answer

Answer:

D. a 180° rotation about point B'

Explanation:

Step1: Analyze translation options

Translation up/down and right/left would not change the orientation of the shape as seen. The pre - image and image have a different orientation, so translation options (A and B) can be ruled out.

Step2: Consider rotation about B'

If we consider a 270° rotation about point B', the orientation and position of the vertices would not match the given image. But for a 180° rotation about point B', the vertices of pre - image ABCD would map to the vertices of image A''B''C''D'' as shown in the graph.