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.

To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.

Sides:

≅ ≅ ≅

Diagonals:

Use the slope formula:

       = -1

       = 1

Slopes are opposite reciprocals so they are perpendicular.

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All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.

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step-by-step explanation:

step-by-step explanation: