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Mathematics
Mathematics
Problem
In a parallelogram
A
B
C
D
ABCD
A
B
C
D
, diagonal
A
C
AC
A
C
is drawn. Point
P
P
P
is on
A
C
AC
A
C
such that
A
P
=
P
C
AP = PC
A
P
=
P
C
. Which of the following statements is always true? a)
△
A
B
P
≅
△
B
C
P
\triangle ABP \cong \triangle BCP
△
A
B
P
≅
△
B
C
P
b)
△
B
A
P
≅
△
C
D
B
\triangle BAP \cong \triangle CDB
△
B
A
P
≅
△
C
D
B
c)
△
A
B
P
≅
△
C
D
P
\triangle ABP \cong \triangle CDP
△
A
B
P
≅
△
C
D
P
d)
△
A
B
P
≅
△
A
D
P
\triangle ABP \cong \triangle ADP
△
A
B
P
≅
△
A
D
P
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