Question

Based on the information marked in the diagram, AABC and ADEF must be

congruent.
A
O A. True
O B. False

Answer 1

B. false

Explanation:

they might be congruent.

the answer is based on the question of the given information is sufficient, so that they MUST BE congruent.

no, the given information is not sufficient.

we need at least 3 pieces of information to be sure.

like

the lengths of all 3 sides (SSS).

or 2 angles and the length of their enclosed side (ASA).

or 2 sides and the size of their enclosed angle (SAS).

or other corresponding pieces of information.

here we have only 2 pieces of information :

1 side and 1 angle.

e.g. EF could be a tiny little bit shorter than BC. we could not see that in the graph but the would not be congruent.