Do Activity ( To verify that opposite sides of a parallelogram are of equal length )
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what type of activity do we have to do
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Step-by-step explanation:
Given: ABCD is a parallelogram.
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). Hence by the ASA criterion, both the triangles are congruent and the corresponding sides are equal. Therefore we have AB = CD, and BC = AD.
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