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Problems
Contests
National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
1998 Switzerland Team Selection Test
5
5
Part of
1998 Switzerland Team Selection Test
Problems
(1)
line AB bisects the segment PQ, circle related
Source: Switzerland - Swiss TST 1998 p5
2/19/2020
Points
A
A
A
and
B
B
B
are chosen on a circle
k
k
k
. Let AP and
B
Q
BQ
BQ
be segments of the same length tangent to
k
k
k
, drawn on different sides of line
A
B
AB
A
B
. Prove that the line
A
B
AB
A
B
bisects the segment
P
Q
PQ
PQ
.
geometry
bisects segment
circle