Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
in the figure below, for the triangle △abc and triangle △def, the sides ab = de, bc = ef and ac = df are corresponding sides
of equal length. which statement best describes the relationship between these two triangles?
they are congruent triangles.
they are similar but not congruent triangles.
they are neither similar nor congruent triangles.
they are not congruent triangles.

Explanation:

According to the SSS (Side - Side - Side) congruence criterion, if three sides of one triangle are equal to the three corresponding sides of another triangle, the two triangles are congruent. Here, \(AB = DE\), \(BC = EF\), and \(AC = DF\). Congruent triangles are also similar (with a similarity ratio of \(1\)). So the statement "They are congruent triangles" is correct.

Answer:

They are congruent triangles.