Question

what is the final transformation in the composition of transformations that maps pre - image abcd to image abcd? options: a translation up and to the right; a 180° rotation about point b; a 270° rotation about point b; a translation down and to the right (accompanied by a diagram of quadrilaterals abcd, abcd, abcd)

Explanation:

Step1: Identify transformation composition

Need to map ABCD to A''B''C''D'' via two transformations.

Step2: Analyze intermediate image A'B'C'D'

Assume first transformation forms A'B'C'D' from ABCD.

Step3: Evaluate final transformation options

Check rotation about B' (image of B in A'B'C'D'). 180° rotation about B' would map A'B'C'D' to A''B''C''D'' by symmetry.

Answer:

a 180° rotation about point B'