Free Version
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

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