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Moscow Mathematical Olympiad
1941 Moscow Mathematical Olympiad
073
073
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1941 Moscow Mathematical Olympiad
Problems
(1)
MMO 073 Moscow MO 1941 congruent triangles wanted
Source:
7/18/2019
Given a quadrilateral, the midpoints
A
,
B
,
C
,
D
A, B, C, D
A
,
B
,
C
,
D
of its consecutive sides, and the midpoints of its diagonals,
P
P
P
and
Q
Q
Q
. Prove that
△
B
C
P
=
△
A
D
Q
\vartriangle BCP = \vartriangle ADQ
△
BCP
=
△
A
D
Q
.
congruent triangles
geometry