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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
,
A
B
=
7
cm
AB = 7\,\text{cm}
A
B
=
7
cm
,
A
C
=
9
cm
AC = 9\,\text{cm}
A
C
=
9
cm
and
∠
A
=
55
∘
\angle A = 55^{\circ}
∠
A
=
5
5
∘
. In another triangle
△
D
E
F
\triangle DEF
△
D
E
F
,
D
E
=
7
cm
DE = 7\,\text{cm}
D
E
=
7
cm
,
D
F
=
9
cm
DF = 9\,\text{cm}
D
F
=
9
cm
and
∠
D
=
55
∘
\angle D = 55^{\circ}
∠
D
=
5
5
∘
. Which congruence criterion, if any, proves
△
A
B
C
≅
△
D
E
F
\triangle ABC \cong \triangle DEF
△
A
B
C
≅
△
D
E
F
? a)
ASA
\text{ASA}
ASA
b)
SSS
\text{SSS}
SSS
c)
SAS
\text{SAS}
SAS
d)
RHS
\text{RHS}
RHS
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