Question

Verify that quadrilateral BCDE is a rhombus with vertices B(5, -1), C(-2, 0), D( -1, 7) and E(6, 6) by showing that all four sides are equal.

Answer 1

Show that all sides are equal and its diagonals are perpendicular to each other.

Answer 2

Calculate the lengths of all sides by using distance formula
d=sqrt((x2-x1)^2+(y2-y1)^2)
BC=sqrt((-2-5)^2+(0-(-1))^2)=sqrt(49+1)=sqrt(50)=5sqrt(2)
CD=((-1-(-2))^2+(7-0)^2)=sqrt(1+49)=sqrt(50)=5sqrt(2)
and so on ...

Answer 3

so wouldnt it be 11?