The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove that RMBS is a rhombus. Show all your work and state appropriate formulas and theorems used.
The slopes are reciprocal. They are identified as perpendicular lines because the slopes have opposite signs, one is positive 1 and the other is negative 1.
Perpendicular lines are lines that bisect at a right angle. One of the characteristics of a rhombus is that its diagonals bisect each other at a right angle. Thus, the given parallelogram is a rhombus.
