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Problems
Contests
National and Regional Contests
Poland Contests
Poland - Second Round
1995 Poland - Second Round
2
2
Part of
1995 Poland - Second Round
Problems
(1)
perpendicular lines from 3 vertices of convex hexagon are concurrent
Source: Polish second round 1995 p2
1/19/2020
Let
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
be a convex hexagon with
A
B
=
B
C
,
C
D
=
D
E
AB = BC, CD = DE
A
B
=
BC
,
C
D
=
D
E
and
E
F
=
F
A
EF = FA
EF
=
F
A
. Prove that the lines through
C
,
E
,
A
C,E,A
C
,
E
,
A
perpendicular to
B
D
,
D
F
,
F
B
BD,DF,FB
B
D
,
D
F
,
FB
are concurrent.
hexagon
convex
concurrency
concurrent
geometry