Another method to check is to confirm that the slope of AB equals the slope of CD and the slope of BC equals the slope of AD. To verify a parallelogram, we need to follow the following properties: If AB // CD and BC // AD, then it is a parallelogram.
To verify that parallelogram ABCD with vertices A(-5,-1), B(-9,6), C(-1,5), and D(3,-2) is a rhombus by showing that it is a parallelogram with perpendicular diagonal, we need to follow certain properties of a rhombus.Ī rhombus is a four-sided shape that has the following properties:Ī) The opposite sides of the rhombus are parallel.ī) All the four sides of the rhombus are equal.Ĭ) The diagonals of a rhombus bisect each other at right angles.
