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Mathematics
Mathematics
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
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