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Moldova Contests
Moldova Team Selection Test
1994 Moldova Team Selection Test
3
3
Part of
1994 Moldova Team Selection Test
Problems
(1)
Triangles $MAB$ and $MA_1B_1$ are similar and have the same orientation
Source: Moldova TST 1994
8/8/2023
Triangles
M
A
B
MAB{}
M
A
B
and
M
A
1
B
1
MA_1B_1{}
M
A
1
B
1
are similar and have the same orientation. Prove that the circumcircles of these triangles cointain the intersection point of lines
A
A
1
AA_1{}
A
A
1
and
B
B
1
BB_1{}
B
B
1
.
geometry
circumcircle