If you think that this is a difficult problem, you ain't seen nothing yet!
It's always a good idea to make a sketch . . . Prove that quadrilateral: W(-˝, 1˝), X(4, 1), Y(3˝, 5˝), Z(-1, 6) is a rhombus.
* | Y
(-1,6) | *
* | X
- - - - + - - - - - - - - - -
Do you know what makes a quadrilateral a rhombus?
. . That's right . . . it has four equal sides.
Does WXYZ has four equal sides?
. . How can we determine if: . ?
That's right . . . the Distance Formula.
Go for it!