Question

PLEASE HELP ME ASAP!!

the vertices of a square are a(-2 4), b(4,4), c(4,-2), d(-2,-2). the diagonals of the square intersect at their midpoints. what are the coordinates of the midpoint where the diagonals intersect

Answer 1

We have to find midpoint M of the diagonal AC (or BD, there is no difference) so:


`M=\left((x_A+x_C)/(2),(y_A+y_C)/(2)\right)=\left((-2+4)/(2),(4+(-2))/(2)\right)=\left((2)/(2),(2)/(2)\right)=\\\\\\=\boxed{(1,1)}`