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Mathematics
Mathematics
Problem
Parallelogram
A
B
C
D
ABCD
A
B
C
D
has diagonals
A
C
AC
A
C
and
B
D
BD
B
D
intersecting at
O
O
O
. (a) Show that
△
A
O
B
≅
△
C
O
D
\triangle AOB \cong \triangle COD
△
A
O
B
≅
△
C
O
D
. (b) Hence prove that
O
O
O
is the midpoint of both the diagonals
A
C
AC
A
C
and
B
D
BD
B
D
.
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