14.1

Part of Geometry Mathley 2011-12

Problems(1)

Geometry Mathley 14.1 equal circles

Source:

(K)

is through the vertices

B, C

of the triangle

ABC

and intersects its sides

CA, AB

respectively at

E, F

C, B

BE

CF

G

M, N

be the symmetric points of

A

F, E

respectively. Let

P, Q

be the reflections of

C, B

AG

. Prove that the circumcircles of triangles

BPM , CQN

have radii of the same length.
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