If the point P(6,1) , Q(8,2) , R(9,4) and S(p,3) are the vertices of a parallelogram, taken in order, find - Maths - Coordinate Geometry

Question

If the point P(6,1) , Q(8,2) , R(9,4) and S(p,3) are the
vertices of a parallelogram, taken in order, find the value of
p

Shridhar Kaushik · Accepted Answer

We know that diagonals of a parallelogram bisect each other
So, the coordinates of the mid-point of AC = coordinates of the
mid-point of BD
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/2569807/2012_03_19_11_39_04/shhh%20png">

If the point P(6,1) , Q(8,2) , R(9,4) and S(p,3) are the vertices of a parallelogram, taken in order, find the value of p.