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Mathematics 23 Online
OpenStudy (anonymous):

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?

OpenStudy (anonymous):

(5,5) (0,0) (1,-2) (1,0) (3,4)

OpenStudy (mayankdevnani):

|dw:1429792209346:dw|

OpenStudy (mayankdevnani):

REMEMBER THE PROPERTY OF PARALLELOGRAM :- The diagonals of a parallelogram bisect each other.

OpenStudy (mayankdevnani):

so can you solve it ? @Smileyside

OpenStudy (anonymous):

i think its 0,0

OpenStudy (mayankdevnani):

nope !

OpenStudy (mayankdevnani):

suppose the co-ordinate of D be (x,y)

OpenStudy (mayankdevnani):

|dw:1429792478794:dw| we know that as diagonals bisect each other, so E is the mid point of AC

OpenStudy (mayankdevnani):

so can you calculate the co-ordinates of point E ?

OpenStudy (anonymous):

cant you graph them ?

OpenStudy (mayankdevnani):

we can, but this method is so long and lenghty ! because we have to simply find the co-ordinates of D

OpenStudy (mayankdevnani):

wait ! i will tell you !

OpenStudy (mayankdevnani):

|dw:1429792657806:dw|

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