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Problems
Contests
National and Regional Contests
India Contests
Regional Mathematical Olympiad
1994 India Regional Mathematical Olympiad
6
6
Part of
1994 India Regional Mathematical Olympiad
Problems
(1)
Prove a parallelogram
Source: Indian RMO 1994 Problem 6
10/25/2005
Let
A
C
AC
A
C
and
B
D
BD
B
D
be two chords of a circle with center
O
O
O
such that they intersect at right angles inside the circle at the point
M
M
M
. Suppose
K
K
K
and
L
L
L
are midpoints of the chords
A
B
AB
A
B
and
C
D
CD
C
D
respectively. Prove that
O
K
M
L
OKML
O
K
M
L
is a parallelogram.
geometry
parallelogram