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In and , it is given that and…
MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
C
B
\triangle ACB
△
A
C
B
and
△
D
C
B
\triangle DCB
△
D
C
B
, it is given that
A
C
=
D
C
AC = DC
A
C
=
D
C
and
∠
A
C
B
=
∠
D
C
B
\angle ACB = \angle DCB
∠
A
C
B
=
∠
D
C
B
. (i) Prove that
△
A
C
B
≅
△
D
C
B
\triangle ACB \cong \triangle DCB
△
A
C
B
≅
△
D
C
B
. (ii) Using the result of part (i), prove that
△
A
B
C
≅
△
D
B
C
\triangle ABC \cong \triangle DBC
△
A
B
C
≅
△
D
B
C
.
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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