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# Diagonals of a Rectangle

ACTMAT-YJCNVZ

Rectangle ABCD lies in the $xy$ coordinate plane, with A $(0,3)$, B $(5,5)$, C $(9,2)$ and D $(4,0).$

If the diagonals intersect at point E, what are the coordinates of E?

A

${\Big(2, 1\cfrac { 1 }{ 2 } \Big)}$

B

${\Big(6\cfrac { 1 }{ 2 } , 1\Big)}$

C

${\Big(4\cfrac { 1 }{ 2 } ,\cfrac { 1 }{ 2 } \Big)}$

D

$\Big(2\cfrac { 1 }{ 2 } , 4\Big)$

E

${\Big(4\cfrac { 1 }{ 2 } ,2\cfrac { 1 }{ 2 } \Big)}$