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2001 Moldova National Olympiad
Problem 7
proof of concurrency in squares with same size
proof of concurrency in squares with same size
Source: 2001 Moldova MO Grade 10 P7
April 13, 2021
geometry
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
and
A
B
’
C
’
D
’
AB’C’D’
A
B
’
C
’
D
’
be equally oriented squares. Prove that the lines
B
B
1
,
C
C
1
,
D
D
1
BB_1,CC_1,DD_1
B
B
1
,
C
C
1
,
D
D
1
are concurrent.
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