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Problems
In quadrilateral
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, it is given that
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
and
A
B
=
C
D
AB = CD
A
B
=
C
D
. To show that
A
D
∥
B
C
AD \parallel BC
A
D
∥
B
C
, which pair of triangles should be proved congruent? (a)
△
A
B
D
\triangle ABD
△
A
B
D
and
△
C
B
D
\triangle CBD
△
C
B
D
(b)
△
A
B
C
\triangle ABC
△
A
B
C
and
△
C
D
A
\triangle CDA
△
C
D
A
(c)
△
A
B
D
\triangle ABD
△
A
B
D
and
△
C
D
A
\triangle CDA
△
C
D
A
(d)
△
A
B
C
\triangle ABC
△
A
B
C
and
△
B
C
D
\triangle BCD
△
B
C
D
Related theory
Quadrilaterals
Triangle Congruence
Triangle Congruence Criteria
Triangles
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