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Adygea Teachers' Geometry Olympiad
2018 Adygea Teachers' Geometry Olympiad
3
3
Part of
2018 Adygea Teachers' Geometry Olympiad
Problems
(1)
concyclic , intersecting circles (2018 Adygea Teachers' Geometry Olympiad p3)
Source:
6/22/2020
Two circles intersect at points
A
A
A
and
B
B
B
. Through point
B
B
B
, a straight line intersects the circles at points
C
C
C
and
D
D
D
, and then tangents to the circles are drawn through points
C
C
C
and
D
D
D
. Prove that the points
A
,
D
,
C
A, D, C
A
,
D
,
C
and
P
P
P
- the intersection point of the tangents - lie on the same circle.
geometry
Concyclic
circles