Based on the information marked in the diagram, ΔΔABC and ΔΔDEF must be congruent.

To determine if triangles ΔABC and ΔDEF are congruent based on the information given in a diagram, we need to follow these steps:

1. Break Down the Problem

   • Identify the sides and angles of triangles ΔABC and ΔDEF.
   • Check if any congruence criteria (SSS, SAS, ASA, AAS, or HL) fit the given information.

2. Relevant Concepts

   • Congruent triangles are triangles that are identical in shape and size.
   • The criteria for triangle congruence are:
     • Side-Side-Side (SSS): If three sides of one triangle are equal to three sides of another triangle.
     • Side-Angle-Side (SAS): If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
     • Angle-Side-Angle (ASA): If two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
     • Angle-Angle-Side (AAS): If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.
     • Hypotenuse-Leg (HL): For right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

3. Analysis and Detail

   • Check the specific angles and sides mentioned in the diagram for ΔABC and ΔDEF.
   • Depending on the provided lengths and angles, apply the appropriate criteria to check for congruence:
     • SSS: Compare all three sides.
     • SAS: Compare two sides and the included angle.
     • ASA or AAS: Compare two angles and the included or opposite side respectively.
     • HL: If the triangles are right triangles, check the hypotenuse and one leg.

4. Verify and Summarize

   • Confirm that the conditions for the chosen congruence criteria are met.
   • If all criteria are satisfied, conclude that ΔABC and ΔDEF are congruent.

Final Answer

Based on the provided diagram and analysis, ΔABC and ΔDEF are congruent if they meet one of the congruence criteria outlined. Please double-check the specific measurements and angles from the diagram to confirm congruence.