Answer:
B' (16,14)
Explanation:
Find the coordinates of the vertex B.
M is the midpoint of the diagonal AC.
A(2,7) and C(8,1), the center has coordinates Point M which is the midpoint of the diagonal BD.
Let B has coordinates (x,y),
B(8,7).
(x,y)→(2x,2y)
B(8,7)→B'(16,14).