a(2,1),b(-1,2)and c(1,0) are three of the four vertices of of parallelogram ABCD. find the coordinates of fourth vertex d.
Answers
Answered by
7
HOPE THIS WILL HELP U... :-)
Attachments:
Answered by
4
●Step-by-step explanation●
◆ Using mid-point formula i.e. {(x₁ + x₂)/2 , (y₁ + y₂)/2}
∴ { (4 - 2 ) / 2 , (3 - 3) / 2 } = { (-1 + x ) / 2 , (2 + y) / 2 }
∴ (1 , 0 ) = (-1 + x ) / 2 , (2 + y) / 2
∴ (-1 + x ) / 2 = 1 and (2 + y) / 2 = 0
∴ -1 + x = 2 and 2 + y = 0
∴ x = 3 and y = -2
◆ Using mid-point formula i.e. {(x₁ + x₂)/2 , (y₁ + y₂)/2}
∴ { (4 - 2 ) / 2 , (3 - 3) / 2 } = { (-1 + x ) / 2 , (2 + y) / 2 }
∴ (1 , 0 ) = (-1 + x ) / 2 , (2 + y) / 2
∴ (-1 + x ) / 2 = 1 and (2 + y) / 2 = 0
∴ -1 + x = 2 and 2 + y = 0
∴ x = 3 and y = -2
Similar questions