A Square has the vertices at (-2,6) (6,1) (1,-7) (-7,-2). At what point do the diagonals of the square intercect

At point ()

Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) =

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) =

(x,y) =

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point .