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Moderate

Coordinates and Squares

ACTMAT-N1E0Y6

In the figure below, square $ABCD$ lies in the $xy$ coordinate plane. If the coordinates of point A are $(a,0)$ and diagonal $ {\overline{AC}} $ (when drawn) is parallel to the y-axis, what are the coordinates of point B?

A

$ {(a,a)} $

B

$ {(2a,a)} $

C

$ {(2a,2a)} $

D

$ {(2a,a\sqrt { 2 } )} $

E

$ {(2a,2a\sqrt { 2 } )} $