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Vertex on a Line (Posted on 2010-07-11) Difficulty: 3 of 5

Let ABC be a triangle with P a point on line BC
such that B lies between P and C.

Construct a line through P, intersecting sides
AB and AC in points Q and R respectively, such 
that vertex S of parallelogram QARS lies on 
line BC.

See The Solution Submitted by Bractals    
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re: Is this right? (spoiler) | Comment 2 of 4 |
(In reply to Is this right? (spoiler) by Corey)

If the problem had stated line segment BC you would be right, but it states line BC. Lines have infinite extent - no ends.


  Posted by Bractals on 2010-07-12 18:20:43
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