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ABCD is a quadrilateral in which and
MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles
Problem
ABCD is a quadrilateral in which
A
B
=
C
D
AB = CD
A
B
=
C
D
and
B
C
=
D
A
BC = DA
B
C
=
D
A
. Diagonal
A
C
AC
A
C
is common to
△
A
B
C
\triangle ABC
△
A
B
C
and
△
C
D
A
\triangle CDA
△
C
D
A
. (a) Prove that
△
A
B
C
≅
△
C
D
A
\triangle ABC \cong \triangle CDA
△
A
B
C
≅
△
C
D
A
. (b) Hence, state the relation between
∠
A
B
C
\angle ABC
∠
A
B
C
and
∠
C
D
A
\angle CDA
∠
C
D
A
.
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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