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Sharygin Geometry Olympiad
2021 Sharygin Geometry Olympiad
21
21
Part of
2021 Sharygin Geometry Olympiad
Problems
(1)
Construct a bicentral trapezoid using only a ruler ;)
Source: XVII Sharygin Correspondence Round, P21
3/2/2021
A trapezoid
A
B
C
D
ABCD
A
BC
D
is bicentral. The vertex
A
A
A
, the incenter
I
I
I
, the circumcircle
ω
\omega
ω
and its center
O
O
O
are given and the trapezoid is erased. Restore it using only a ruler.
geometry
trapezoid