For those interested, here's a proof by Euclid:
http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI4.html
It is a reason of proving two triangles that they are congruent.
It means they have the same sides and a same angle which is between the two sides.
For this two triangles, since PN=SQ , MP=RS , angleP=angleS
So these triangles are congruent , with the reason SAS
For those interested, here's a proof by Euclid:
http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI4.html