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(2,3) and (3,1) are opposite vertices in a parallelogram. If (0,0) is the third vertex then the forth vertex is_______.

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(2,3) and (3,1) are opposite vertices in a parallelogram. If (0,0) is the third vertex then the forth vertex is_______.

asked Feb 24, 2014 in GEOMETRY by skylar Apprentice

1 Answer

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Given that :

(2, 3) and (3, 1) are opposite vertices of a parallelogram.

Let the vertices are image.

From the given data B and D are also an opposite vertices.

So,

Mid point of AC = mid point of BD.

Substitute the values image.

image

image

image

image.

Therefore, fourth vertex of parallelogram is image.

answered Mar 29, 2014 by lilly Expert

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