Select the correct answer.Which set of vertices forms a parallelogram?A. A(2, 4), B(3, 3), C(6, 4), D(5, 6)B. A(-1, 1), B(2, 2), C(5, 1), D(4, 1) C. A(-5, -2), B(-3, 3), C(3, 5), D(1, 0)D. A(-1, 2), B(1, 3), C(5, 3), D(1, 1)
Accepted Solution
A:
Answer:Step-by-step explanation:Option 3 is correctA(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogramStep-by-step explanation:Slope formula is given by:slope = y2-y1over x2-x1Properties of the parallelogram:Opposite sides are equal and parallel.Diagonals are unequalSlope of the opposite sides are equal.Opposite angles are equal.Consider the set of vertices:A(-5, -2), B(-3, 3), C(3, 5), D(1, 0)⇒Slope of AB =Slope of CD and Slope of BC = Slope of ADBy property of parallelogram:⇒A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram