Proven AB = CD and BC = DA
What is a parallelogram?
A parallelogram is a quadrilateral with opposite sides parallel.
Given ABCD is a parallelogram
In parallelogram ABCD, compare triangles ABC and CDA. In these triangles
AC = CA (common side)
∠BAC = ∠DCA (alternate interior angles)
∠BCA = ∠DAC (alternate interior angles)
Hence by the Angle side Angle criterion, both the triangles are congruent and the corresponding sides are equal.
Therefore we have AB = CD, and BC = AD.
To know more about parallelogram click here
https://brainly.com/question/9680084
#SPJ2
