Question

Whole prove formula to prove that a quadrilateral is a parallelogram if its one paur of opposite sides are equal and parallel ​

Answer 1

Answer:

b-q plus a

Step-by-step explanation:

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Answer 2

AC is a transversal and also AB║CD, therefore

∠BAC=∠DCA(Alternate angles)

In ΔADC and ΔCBA, we have

AB=CD(Given)

∠BAC=∠DCA(Alternate angles)

AC=CA(Common)

ΔADC≅ΔCBA by the SAS rule.

Hence, by CPCT, DA=BC

Thus, Both the pair of opposite sides are equal in the quadrilateral ABCD, therefore ABCD is a parallelogram.

Hence proved.