MathDB
Problems
Contests
National and Regional Contests
Russia Contests
Sharygin Geometry Olympiad
2023 Sharygin Geometry Olympiad
18
18
Part of
2023 Sharygin Geometry Olympiad
Problems
(1)
restore bicentral quadrilateral from arc midpoints
Source: Sharygin 2023 - P18 (Grade-9-11)
3/4/2023
Restore a bicentral quadrilateral
A
B
C
D
ABCD
A
BC
D
if the midpoints of the arcs
A
B
,
B
C
,
C
D
AB,BC,CD
A
B
,
BC
,
C
D
of its circumcircle are given.
geometry
bicentral
arc midpoint
constructive geometry
Sharygin Geometry Olympiad
Sharygin 2023