Question

find out the points (1,7) (4, 2) (-1 , -1) and (-4, 4) are the vertices of the sqaure -

Answer 1

Name those four vertices.

A(1,7)

B(4,2)

C(-1,-1)

D(-4,4)

Then by distance formula:

AB²=3²+5²

BC²=5²+3²

CD²=3²+5²

DA²=5²+3²

I have shown that the four sides are equal. Therefore, those vertices form square ABCD.