MathDB

Bosnia and Herzegovina TST 2004 Day 2 Problem 3

Source: Bosnia and Herzegovina Team Selection Test 2004

September 17, 2018

geometryparallelogramconcurrent

Problem Statement

It is given triangle

ABC

and parallelogram

ASCR

with diagonal

AC

. Let line constructed through point

B

parallel with

CS

intersects line

AS

and

CR

M

and

P

, respectively. Let line constructed through point

B

parallel with

AS

intersects line

AR

and

CS

N

and

Q

, respectively. Prove that lines

RS

MN

and

PQ

are concurrent