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:

By observing the orientation and position of pre - image ABCD and image A''B''C''D'', we can see that the final transformation is a 180° rotation about point B'. A translation down and to the right or up and to the right would not change the orientation of the shape in the way shown. A 270° rotation about point B' would result in a different orientation. A 180° rotation about point B' flips the shape across the center of rotation (B') which is consistent with the given transformation.

Answer:

a 180° rotation about point B'