How do you prove the two segments are congruent?

Question

http://flickr.com/photo_zoom.gne?id=2063193977&size=o

Thanks!

Answer 1

RSK is congruent to XYL by side-angle-angle. :)

More generally, if you're looking to prove that segments are congruent in a Euclidean Geometry class, you usually do that by finding congruent triangles they're sides of.