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Ukrainian From Tasks to Tasks - geometry
2010.9
2010.9
Part of
Ukrainian From Tasks to Tasks - geometry
Problems
(1)
#in #, is area half?, use only compass (2010 From Tasks to Tasks, p9 Ukr )
Source:
5/2/2021
On the sides
A
B
,
B
C
,
C
D
AB, BC, CD
A
B
,
BC
,
C
D
and
D
A
DA
D
A
of the parallelogram
A
B
C
D
ABCD
A
BC
D
marked the points
M
,
N
,
K
M, N, K
M
,
N
,
K
and
F
F
F
. respectively. Is it possible to determine, using only compass, whether the area of the quadrilateral
M
N
K
F
MNKF
MN
K
F
is equal to half the area of the parallelogram
A
B
C
D
ABCD
A
BC
D
?
geometry
parallelogram