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Durer Math Competition
Durer Math Competition CD 1st Round - geometry
2015.C2
2015.C2
Part of
Durer Math Competition CD 1st Round - geometry
Problems
(1)
<APD =<DPC, ABCD rectangle 2014-15 Dürer Round1 C2
Source:
12/5/2022
Given a rectangle
A
B
C
D
ABCD
A
BC
D
, side
A
B
AB
A
B
is longer than side
B
C
BC
BC
. Find all the points
P
P
P
of the side line
A
B
AB
A
B
from which the sides
A
D
AD
A
D
and
D
C
DC
D
C
are seen from the point
P
P
P
at an equal angle (i.e.
∠
A
P
D
=
∠
D
P
C
\angle APD = \angle DPC
∠
A
P
D
=
∠
D
PC
)
geometry
rectangle
equal angles
Durer