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Mathematics
Mathematics
Problem
A
B
C
D
ABCD
A
B
C
D
is a kite in which
A
B
=
A
D
AB = AD
A
B
=
A
D
and
C
B
=
C
D
CB = CD
C
B
=
C
D
. The diagonals intersect at
O
O
O
. a. (i) Prove that
△
A
B
O
≅
△
A
D
O
\triangle ABO \cong \triangle ADO
△
A
B
O
≅
△
A
D
O
. b. (ii) Using the result of part (i), prove that
△
C
B
O
≅
△
C
D
O
\triangle CBO \cong \triangle CDO
△
C
B
O
≅
△
C
D
O
.
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