Question

prove that points (-2,-1),(-1,1),(5,-2)and (4,-4) are vertices of a rectangle

Answer 1

A(-2,-1), B(-1,1), C(5,-2) and D(4,-4)

AB

AB= root of (x1-x2)+(y1-y2)

AB= ROOT OF (-2-(-1))+(-1-1)

AB= root of (-2+1)+(-2)

AB=root of(-1-2)

AB=root of (-3)

CD

CD= root of (5-4)+(-2-(-4))

CD= root of (1)+(-2+4)

CD=root of (1+2)

CD=root of (3)

BC

BC= root of (-1-5)+(1-(-2))

BC= root of (-6)+(1+2)

BC=root of (-6+3)

BC= root of (-3)

AD

AD= root of (-2-4)+( -1-(-4))

AD= root of (-6)+(-1+4)

AD=root of (-6+3)

AD= root of (-3)

I think the question is slightly incorrect maybe you have missed a negative sign or a positive sign somewhere pls check.