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ACT® Math

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Moderate

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)} $