Question

which rule explains why these triangles are congruent?
n
q
p
t
u
s
sas
aas
sss
asa
these triangles cannot be proven congruent.

Explanation:

Step1: Identify congruent parts

We see two angles and a non - included side are congruent. In \(\triangle NPQ\) and \(\triangle STU\), we have two pairs of angles equal (marked with arcs) and a pair of non - included sides equal (marked with a single dash).

Step2: Recall congruence rules

The AAS (Angle - Angle - Side) congruence rule states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

B. AAS