Question

prove with reason that in a parallelogram the opposite sides are equal in magnitude​

Answer 1

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To Prove:

The opposite sides are equal, AB=CD, and BC=AD. Proof: In parallelogram ABCB, compare triangles ABC and CDA. In these triangles AC = CA (common sides). Also ∠BAC =∠DCA (alternate interior angles), and ∠BCA = ∠DAC (alternate interior angles).