Tag: parallel sides

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Parallelograms on the same base and between the same parallels are equal in area

Parallelograms on the same base and between the same parallels are equal in area. Given: Two parallelograms ABCD and EFCD, are on the same base DC and between the same parallel lines AF and DC. To prove: area (∥gm ABCD) = area (∥gm EFCD) Proof: In △ AED and △ BFC BC ∥ AD and AF is a transversal.So, ∠DAE = ∠CBF …..(1) (Corresponding angles of […]

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In a parallelogram, opposite sides are equal

 In a parallelogram opposite sides are equal.  Given: A parallelogram ABCD, each pair of Opposite sides of parallelogram are side AB and side DC and side AD and side BC. To prove: Opposite sides of parallelogram are equal that is AB = DC    and    AD = BC  Construction: Join A to C that is AC, is a diagonal, the diagonal AC […]

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