According to the SAS Theorem, which of the following sets of
relationships can be used to show that the triangles pictured above are
congruent?

Question

According to the SAS Theorem, which of the following sets of 
relationships can be used to show that the triangles pictured above are 
congruent?

anonymous · Answer

The answer is D.  Here's why:

SAS congruence is created by showing that two sides and the angle between those two sides are congruent for two triangles.  Right away, we can discount B as an answer because of this.  So, between A, C, and D:

A: if MN = PQ and N = R, then the two triangles can't be congruent.

C: C gives us two sides and an angle, but the angle isn't between the two sides.

This leaves only D as the correct answer!