Hello! Thank you for reaching out to Careers360. I hope you're doing well. I'd be happy to help you with your question about triangle congruence.

To determine by which congruence criterion the triangles are congruent, you'll need to look for specific properties they share. The common congruence criteria are:

1. SSS (Side-Side-Side) : All three sides of one triangle are equal to the corresponding sides of another.
2. SAS (Side-Angle-Side) : Two sides and the included angle of one triangle are equal to the corresponding sides and angle of another.
3. ASA (Angle-Side-Angle) : Two angles and the included side of one triangle are equal to the corresponding angles and side of another.
4. AAS (Angle-Angle-Side) : Two angles and any side (not the included side) are equal to the corresponding parts of another triangle.
5. RHS (Right Angle-Hypotenuse-Side) : This is for right-angled triangles where the hypotenuse and one side are equal to those in another triangle.

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