how do you prove that a quadrilateral is a square

Question

rulnick · Answer

Well, a quadrilateral is a square if, and only if, all four sides of the quadrilateral are of equal measure.

anonymous · Answer

the question on my worksheet says prove quad. MIKE is a square M(0,5) I(6,3) K(4,-3) E(-2,-1) how do i do that

rulnick · Answer

Oh, just find the lengths of the four sides and show they are the same.

For instance, the distance from E to M is sqrt(6^2+2^2) = sqrt(40).  The distance between each adjacent corner (graph it to see) must be this same value for it to be a square.

anonymous · Answer

i did the distance formula and i got squ. root of 40 for all of them what do i do next

anonymous · Answer

what ever ill just leave it like that and fail :(