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KoMaL A Problems
KoMaL A Problems 2018/2019
A. 743
A. 743
Part of
KoMaL A Problems 2018/2019
Problems
(1)
Concurrency In Tangential Quadrilateral
Source: KöMaL A. 743
3/19/2022
The incircle of tangential quadrilateral
A
B
C
D
ABCD
A
BC
D
intersects diagonal
B
D
BD
B
D
at
P
P
P
and
Q
Q
Q
(
B
P
<
B
Q
)
.
(BP<BQ).
(
BP
<
BQ
)
.
Let
U
V
UV
U
V
be the diameter of the incircle perpendicular to
A
C
AC
A
C
(
B
U
<
B
V
)
.
(BU<BV).
(
B
U
<
B
V
)
.
Show that the lines
A
C
,
P
V
,
AC,PV,
A
C
,
P
V
,
and
Q
U
QU
Q
U
pass through one point.Based on problem 2 of IOM 2018, Moscow
geometry
komal