Answer:
Explained below.
Step-by-step explanation:
A quadrilateral with two opposite pair of sides parallel to each other is known as a parallelogram.
To prove that a quadrilateral is a parallelogram, the following properties can be used:
- The two pair of opposite sides are same in length, i.e. AB = CD and AD = BC.
- The two pair of opposite angles are congruent, i.e. ∠A ≅ ∠C and ∠B ≅ ∠D.
- The two pair of consecutive angles are supplementary, i.e. ∠A + ∠B = 180° and ∠B + ∠D = 180°.
- The diagonals of the quadrilateral bisect each other. i.e. AE = EC and BE = ED.
If the quadrilateral ABCD satisfies these properties then it can be proved that the quadrilateral ABCD is a parallelogram.
