Question

which rule explains why these triangles are congruent?
sas aas sss
asa these triangles cannot be proven congruent.

Explanation:

• AAS (Angle - Angle - Side) Congruence Rule:
• In triangle \(SQM\) and \(PNM\), \(\angle S=\angle P\) (given as one - pair of equal angles).
• \(\angle SQM=\angle PNM\) (given as another pair of equal angles).
• \(SM = PM\) and \(QM=NM\) (vertically opposite angles at point \(M\) make the non - included sides equal).
• The AAS rule states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Answer:

AAS