Question

based on the information marked in the diagram, △abc and △def must be congruent.
a. true
b. false

Explanation:

Step1: Recall congruence criteria

For two triangles to be congruent, we need sufficient information like SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) or HL (Hypotenuse - Leg for right - triangles).

Step2: Analyze given diagram

The diagram only shows some markings on the sides and angles, but we don't have enough information to apply any of the congruence criteria. We don't know if all corresponding sides are equal or if the included angles between corresponding sides are equal.

Answer:

B. False