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ACT® Math

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Moderate

Coordinates and Triangles

ACTMAT-TVGNVI

In the figure below, equilateral $ {\Delta} $ ABC lies in the x-y coordinate plane.

If A lies at the origin $(0,0)$ and B lies at $(b,0)$, what are the coordinates of C?

A

$ {(\cfrac { b }{ 2 } ,b)} $

B

$ {(b,b)} $

C

$ {(\cfrac { b }{ 2 } ,\cfrac { b }{ 2 } )} $

D

$ {(\cfrac { b\sqrt { 3 } }{ 2 } ,\cfrac { b }{ 2 } )} $

E

$ {(\cfrac { b }{ 2 } ,\cfrac { b\sqrt { 3 } }{ 2 } )} $