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CVM 2020
Problem 4
Problem 4
Part of
CVM 2020
Problems
(1)
CVM 2020 - Problem 4
Source: CVM 2020
7/16/2020
Consider an
A
B
C
D
ABCD
A
BC
D
parallelogram with
A
D
‾
\overline{AD}
A
D
=
=
=
B
D
‾
\overline{BD}
B
D
. Point E lies in segment
B
D
‾
\overline{BD}
B
D
in such a way that
A
E
‾
\overline{AE}
A
E
=
=
=
D
E
‾
\overline{DE}
D
E
. The extension of line
A
E
‾
\overline{AE}
A
E
cuts segment
B
C
‾
\overline{BC}
BC
and
F
F
F
. if line
D
F
‾
\overline{DF}
D
F
is the bisector of the
∠
C
E
D
\angle CED
∠
CE
D
. Find the value of the
∠
A
B
D
\angle ABD
∠
A
B
D
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4.1.
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<span class='latex-bold'>4.1.</span>
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4.1.
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Point
E
E
E
lies in segment
B
D
‾
\overline{BD}
B
D
means that exits a point
E
E
E
in the segment
B
D
‾
\overline{BD}
B
D
in other words lies refers to the same thing foundProposed by Alicia Smith, Francisco Morazan
geometry
parallelogram