Prove that the quadrangle with vertices E (-2,0) F (2,2) M (4, -2) N (0, -4) is a square?

Find the angles cm p 1.

E = F = M = N = 90 °.

Let’s calculate the sides:

EF = ((2 – (-2); (0 – 2)) = (4; -2).

| EF | = √ (16 + 4) = √20.

| FM | = √20;

| MN) = √20;

| NE | = √20.

Hence EFMN is a square.



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