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Problems
Contests
National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
1999 Switzerland Team Selection Test
5
5
Part of
1999 Switzerland Team Selection Test
Problems
(1)
MN bisects the <QNP , inside rectangle ABCD
Source: Switzerland - Swiss TST 1999 p5
2/19/2020
In a rectangle
A
B
C
D
,
M
ABCD, M
A
BC
D
,
M
and
N
N
N
are the midpoints of
A
D
AD
A
D
and
B
C
BC
BC
respectively and
P
P
P
is a point on line
C
D
CD
C
D
. The line
P
M
PM
PM
meets
A
C
AC
A
C
at
Q
Q
Q
. Prove that MN bisects the angle
∠
Q
N
P
\angle QNP
∠
QNP
.
geometry
rectangle
angle bisector