Question

Write any two theorems and proofs of the theorems related to properties of parallelograms​

Answer 1

Answer:

The four important properties of a parallelogram are as follows.

Opposites sides of a parallelogram are equal and parallel to each other.

Opposite angles are equal. ∠A= ∠C, and ∠B = ∠D

All the angles of a parallelogram add up to 360o. ∠A + ∠B + ∠C + ∠D = 360o.

The consecutive angles of a parallelogram are supplementary. i.e.,

∠A + ∠B = 180o

∠B + ∠C = 180o

∠C + ∠D = 180o

∠D + ∠A = 180o

Answer 2

Answer:

Four important theorems relating to the properties of a parallelogram are given below: Opposite sides of a parallelogram are equal. Opposite angles of a parallelogram are equal. Diagonals of a parallelogram bisect each other.

Step-by-step explanation:

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