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Problems
Contests
National and Regional Contests
Switzerland Contests
Swiss NMO - geometry
2015.8
2015.8
Part of
Swiss NMO - geometry
Problems
(1)
parallel concurrency , trapezoid related
Source: Switzerland - Swiss ΜΟ 2015 p8
7/15/2020
Let
A
B
C
D
ABCD
A
BC
D
be a trapezoid, where
A
B
AB
A
B
and
C
D
CD
C
D
are parallel. Let
P
P
P
be a point on the side
B
C
BC
BC
. Show that the parallels to
A
P
AP
A
P
and
P
D
PD
P
D
intersect through
C
C
C
and
B
B
B
to
D
A
DA
D
A
, respectively.
geometry
trapezoid
concurrency
concurrent