Question

in the graphic below, $\triangle tri \cong \triangle nlg$ by:
two triangles with markings
\bigcirc aas.
\bigcirc aaa.
\bigcirc hl.
\bigcirc ssa.
\bigcirc sss.

Explanation:

Step1: Recall triangle congruence criteria

• AAS (Angle - Angle - Side): If two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle, the triangles are congruent.
• AAA (Angle - Angle - Angle): Only shows similarity, not congruence.
• HL (Hypotenuse - Leg): For right - angled triangles.
• SSA: Not a valid congruence criterion in general.
• SSS (Side - Side - Side): All three sides are equal.

Step2: Analyze the given triangles

• In \(\triangle TRI\) and \(\triangle NLG\), we can see two angles and a non - included side are marked as equal.

Answer:

AAS.