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In , point lies on such that and . Which pair of triangles is necessarily…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, point
D
D
D
lies on
B
C
BC
B
C
such that
B
D
=
A
C
BD = AC
B
D
=
A
C
and
C
D
=
A
B
CD = AB
C
D
=
A
B
. Which pair of triangles is necessarily congruent? (a)
△
A
B
C
\triangle ABC
△
A
B
C
\text{ and }
△
A
B
D
\triangle ABD
△
A
B
D
(b)
△
A
B
D
\triangle ABD
△
A
B
D
\text{ and }
△
B
C
D
\triangle BCD
△
B
C
D
(c)
△
A
B
D
\triangle ABD
△
A
B
D
\text{ and }
△
A
C
D
\triangle ACD
△
A
C
D
(d)
△
B
C
D
\triangle BCD
△
B
C
D
\text{ and }
△
C
A
D
\triangle CAD
△
C
A
D
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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