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2015 China South East MO Grade 11 P5

Source: 2015 China South East MO Grade 11 P5

January 16, 2018

geometry

Problem Statement

Given two points

E

and

F

lie on segment

AB

and

AD

, respectively. Let the segments

BF

and

DE

intersects at point

C

. If it’s known that

AE+EC=AF+FC

, show that

AB+BC=AD+DC

.

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