Question

what is the final transformation in the composition of transformations that maps pre - image abcd to image a\bc\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:

Examine the position of pre - image ABCD and image A''B'C''D''. Observe the orientation and location changes. By visual inspection, we can see that after some initial transformation to get to A'B'C'D', the final step from A'B'C'D' to A''B'C''D'' is a 180° rotation about point B' as the orientation of the figure flips around B'.

Answer:

a 180° rotation about point B'