In the adjoining figure if abcd is parallelogram state the test by which dbc and abd are congruent ?
1)s-a-s
2)hypotenuse side test
3)a-a-a
4)none of this
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Answer:
4 non of this is correct answer
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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
∠adb=∠cbd ( alternate angle )
and bd = bd is coomon
Δbda ≅ Δdbc ( SAS)
( SAS) test by which dbc and bda are congruent
but here in the question its given
dbc and abd are congruent
which is not correct
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