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Tournament Of Towns
1994 Tournament Of Towns
(404) 2
(404) 2
Part of
1994 Tournament Of Towns
Problems
(1)
MP= NQ wanted, statring with intersecting circles
Source: TOT 404 1994 Spring A J2 - Tournament of Towns
6/12/2024
Two circles intersect at the points
A
A
A
and
B
B
B
. Tangent lines drawn to both of the circles at the point
A
A
A
intersect the circles at the points
M
M
M
and
N
N
N
. The lines
B
M
BM
BM
and
B
N
BN
BN
intersect the circles once more at the points
P
P
P
and
Q
Q
Q
respectively. Prove that the segments
M
P
MP
MP
and
N
Q
NQ
NQ
are equal. (I Nagel)
geometry
equal segments