Question

state how the triangles can be proven congruent, if possible. asa sas hl aas

Explanation:

Step1: Recall congruence criteria

• \(ASA\) (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
• \(SAS\) (Side - Angle - Side): Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
• \(HL\) (Hypotenuse - Leg): For right - angled triangles, the hypotenuse and one leg of one right - angled triangle are equal to the hypotenuse and one leg of another right - angled 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.

Step2: Analyze the given triangles

From the figure, we have two sides marked as equal (by the tick marks) and the included angles (the angles between the two marked sides) are also equal.

Answer:

SAS