Question

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

Explanation:

Step1: Recall Congruence Rules

• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
• SSS (Side - Side - Side): All three sides of one triangle are equal to all three sides of another triangle.

Step2: Analyze the Given Triangles

In \(\triangle FGH\) and \(\triangle JMK\), we have two pairs of equal angles (\(\angle F=\angle J\) and \(\angle H = \angle M\)) and a pair of equal non - included sides (\(FG = JK\)).

Answer:

AAS