Question

are these triangles congruent? if so, state the rule which you used to determine congruence. aas asa aaa not congruent

Explanation:

• AAS (Angle - Angle - Side):
• In triangle \(DEF\) and \(LKJ\), we have two pairs of equal angles (\(\angle D=\angle J\) and \(\angle E=\angle K\)) and a pair of non - included equal sides (the sides marked with three lines).
• ASA (Angle - Side - Angle):
• For ASA, the side should be included between the two angles. Here, the equal side is not included between the two equal angles in the two triangles.
• AAA (Angle - Angle - Angle):
• AAA only guarantees similarity, not congruence.
• Since we have two angles and a non - included side equal, the AAS congruence rule is applicable.

Answer:

A. AAS