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Indonesia Regional
Indonesia Regional MO OSP SMA - geometry
2007.1
2007.1
Part of
Indonesia Regional MO OSP SMA - geometry
Problems
(1)
ABCD with equal sides (2007 Indonedia MO Province P2 q1 OSP)
Source:
12/11/2020
Let
A
B
C
D
ABCD
A
BC
D
be a quadrilateral with
A
B
=
B
C
=
C
D
=
D
A
AB = BC = CD = DA
A
B
=
BC
=
C
D
=
D
A
. (a) Prove that point A must be outside of triangle
B
C
D
BCD
BC
D
. (b) Prove that each pair of opposite sides on
A
B
C
D
ABCD
A
BC
D
is always parallel.
geometry
parallel
equal segments