Question

The vertices of a parallelogram are (2,-3), (6,5),(-2, 1)(-6,-7) in this order. The point of Intersection of the diagonals is:​

Answer 1

Given:

The diagonals of a parallelogram bisect each other. Hence M is the midpoint of the opposite vertices (2, -3),(6,5) or of the opposite vertices  (-2,1),(-6,−7)

Midpoint of two points (x1 ,y1 ) and (x2 ,y2  ) is  calculated by the formula

(x1+x2/2,y1+y2/2)

Using this formula, mid point of (2, -3),(6,5) will be,

=(2+6/2,-3+5/2)

=(2,1)

The point of Intersection of the diagonals is:​(2,1)