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1970 IMO Longlists
46
46
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1970 IMO Longlists
Problems
(1)
Find a point M such that the triangles are congruent
Source: IMO LongList 1970 - P46
5/22/2011
Given a triangle
A
B
C
ABC
A
BC
and a plane
π
\pi
π
having no common points with the triangle, find a point
M
M
M
such that the triangle determined by the points of intersection of the lines
M
A
,
M
B
,
M
C
MA,MB,MC
M
A
,
MB
,
MC
with
π
\pi
π
is congruent to the triangle
A
B
C
ABC
A
BC
.
geometry proposed
geometry