Question

each pair of opposite side of a quadrilateral are equal then its parallelogram​

Answer 1

yes it will become a parallelogram

Answer 2

Answer:

Theorem:

if each pair of opposite side of a quadrilateral are equal then it is a parallelogram.

Given :

ABCD is a quadrilateral where AB=CD & AD=BC.

To prove :

ABCD is a parallelogram.

Construction:

Join AC ,AC is the diagonal.

Note: plzz draw a proper diagram.

Proof:

In , triangle ABC and triangle CDA

AB=CD (Given )

BC=DA (Given)

AC=CA ( Common)

Therefore, triangle ABC =~ triangle CDA (SSS Congruence)

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