Question

In the adjoining figure If ABCD is parallelogram state the test by which DBC and A ABD are congruent ?

1 S-A-S

2 Hypotenuse side test

3 A-A-A

4 None of these​

Answer 1

Given : ABCD is parallelogram

To Find :   state the test by which DBC and ABD are congruent

Solution:

ABCD is a parallelogram

opposite sides of parallelogram are equal and parallel

hence  

            AD  = BC

           ∠BDA=∠DBC   ( alternate angle )

 and   Bd  = BD  coomon

    ΔBDA  ≅    ΔDBC   ( SAS)

( SAS)   test by which ΔDBC and     ΔBDA are congruent

but here in the question its given

DBC and ABD are congruent

which is not correct

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