Question

7. Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:

Answer 1

Here is your answer friend--

Yes triangle ABD congruent to triangle BCD
Given = AB parallel to DC
DB = DB ( Common )
angle ABD = angle BDC ( alternate angles )
angle ADB = angle CBD ( alternate angles )
Hence they are congruent.

Hope it helps . Please mark my answer as the brillianist answer.

Answer 2

Given :
ABCD Quadrilateral , AB // DC ,

In ∆ABD and ∆CDB

<ABD = <CDB [ alternate angles ]

BD = DB [ common side ]

So,

∆ABD is not congruent to ∆CDB

Data is not sufficient .

if AD//BC then <ADB = <CBD

Therefore ,

∆ABD congruent to ∆CDB [ ASA Rule ]

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