MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Middle School Tournaments
Math Open At Andover problems
2018 MOAA
9
9
Part of
2018 MOAA
Problems
(1)
2018 MOAA Team P9
Source:
1/23/2022
Quadrilateral
A
B
C
D
ABCD
A
BC
D
with
A
C
=
800
AC = 800
A
C
=
800
is inscribed in a circle, and
E
,
W
,
X
,
Y
,
Z
E, W, X, Y, Z
E
,
W
,
X
,
Y
,
Z
are the midpoints of segments
B
D
BD
B
D
,
A
B
AB
A
B
,
B
C
BC
BC
,
C
D
CD
C
D
,
D
A
DA
D
A
, respectively. If the circumcenters of
E
W
Z
EW Z
E
W
Z
and
E
X
Y
EXY
EX
Y
are
O
1
O_1
O
1
and
O
2
O_2
O
2
, respectively, determine
O
1
O
2
O_1O_2
O
1
O
2
.
geometry
team
2018