1.

If A( 1,2) , B( 4,3) and C ( 0,0) are three vertices of parallelogram ABCD , find the coordinates of D.

Answer»


Answer :LET coordinates of D be ( x, y ) .
Coordinates of the mid-point of AC = Coordinates of the mid-point of BD
`(( 1+ 0)/( 2) , ( 2+ 0 )/( 2))= ( ( 4+x)/( 2) , ( 3+ y )/( 2))`
`:. x = - 3 ` and `y = - 1 `
HENCE, corrdinate of D is ( - 3,-1)


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