Home
Class 12
MATHS
Three consecutive vertices of a parallel...

Three consecutive vertices of a parallelogram are (-2,-1), (1,0) and (4,3). Find the fourth vertex

A

(1, 2)

B

(1, 0)

C

(0, 0)

D

(1, -1)

Text Solution

Verified by Experts

The correct Answer is:
A
Give vertices of parallelogram are
`(-2, -1), (1, 0), (4, 3)`

Let the fourth vertex be (x, y)
We know, in a parallelogram diagonals bisect each other.
i.e, Midpoint of `AC=` Midpoint of BD
`implies ((-2+4)/2, (-1+3)/2)=((X+1)/2, (Y+0)/2)`
`implies (1, 1)=((X+1)/2, (Y+0)/2)`
`implies x+1=2, Y+0=2`
`implies X=1, Y=2`
Promotional Banner

Similar Questions

Explore conceptually related problems

If three consecutive vertices of a parallelogram are (1,-2),(3,6) and (5,10), find its fourth vertex.

If three consecutive vertices of a parallelogram be (3,4,1),(7,10,-3) and (8,1,9), find the fourth vertex.

The three vertices of a parallelogram are (3,4),(3,8) and (9,8). Find the fourth vertex.

The co-ordinates of three consecutive vertices of a parallelogram are (-1,0), (3, 1) and (2, 2). Find the co-ordinates of fourth vertex of the parallelogram.

The co-ordinates of three consecutive vertices of a parallelogram are (2, 0) , (4, 1) and (6, 4). Find the co-ordinates of its 4th vertex.

Three consecutive vertices of a rhombus are (5, 3), (2, 7) and (-2, 4) . Find the fourth vertex

If the three consecutive vertices of a parallogram be A(3,4,-1) ,B(7,10,-3) and C(5,-3,7), find the fourth vertex D.

The coordinates of three consecutive vertices of a parallelogram are (1, 3), (-1, 2) and (2, 5). Then find the coordinates of the fourth vertex.

Three vertices of a parallelogram are (1, 1), (2, 4) and (3,5), then the fourth vertex of the parallelogram can be: