AE (option B) and CD (option D)
Step-by-step explanation:
The dilation is to take place at point B
Scale factor = 2
This means any line associated with B will be affected by the dilation
The lines associated with B:
line BC
line BA
Since B is between A and C, line AC will also be affected by the dilation
line BE
Line AE is not associated with point B. So, it will not be changed by transformation
Line CD is not associated with point B. So, it will not be changed by transformation
Hence, the lines not changed by the transformation are AE (option B) and CD (option D)