Question

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

Explanation:

Step1: Recall triangle congruence rules

• AAA (Angle - Angle - Angle) only shows similarity, not congruence.
• AAS (Angle - Angle - Side): Two angles and a non - included side.
• ASA (Angle - Side - Angle): Two angles and the included side.

Step2: Analyze the given triangles

• In \(\triangle LMN\) and \(\triangle QRP\):
• \(\angle L = 45^{\circ}\), \(\angle M=110^{\circ}\), \(LN = 12m\)
• \(\angle P = 45^{\circ}\), \(\angle Q = 110^{\circ}\), \(QR = 12m\)
• The side is not between the two angles (non - included side).

Answer:

B. AAS