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Standard IX
Mathematics
SSS Criteria for Congruency
Question
In the figure, it is given that AB = CD and AD = BC. Prove that triangles ADC and CBA are congruent.
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Solution
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In triangles
A
D
C
and
C
B
A
, we have
A
B
=
C
D
......... (given);
A
D
=
B
C
......... (given);
A
C
=
A
C
......... (common side).
By
S.S.S
congruency condition,
△
A
D
C
≅
△
C
B
A
[
h
e
n
c
e
p
r
o
v
e
d
]
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Similar Questions
Q1
In the figure, it is given that AB = CD and AD = BC. Prove that triangles ADC and CBA are congruent.
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Q2
In figure, it is given that
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Q3
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Q4
In the figure, it is given that AE = AD and BD = CE. Prove that
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Q5
In two triangles ABC and ADC, if AB = AD and BC = CD. are they congruent?
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