MathDB

2009 Philippines MO P5

Source:

November 16, 2015

geometryPMO2009concurrencyperpendicular bisector

Problem Statement

Segments

AC

and

BD

intersect at point

P

such that

PA = PD

and

PB = PC

. Let

E

be the foot of the perpendicular from

P

to the line

CD

. Prove that the line

PE

and the perpendicular bisectors of the segments

PA

and

PB

are concurrent.

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