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Proof of Intersection

Source: ToT - Fall Junior O-Level #1

August 17, 2011
geometry unsolvedgeometry

Problem Statement

In the quadrilateral ABCDABCD, ADAD is parallel to BCBC. KK is a point on ABAB. Draw the line through AA parallel to KCKC and the line through BB parallel to KDKD.
Prove that these two lines intersect at some point on CDCD.
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