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 similar but not congruent triangles.
○ they are not congruent triangles.
○ they are congruent triangles.
○ they are neither similar nor congruent triangles.

Explanation:

The SSS (Side - Side - Side) congruence criterion states that if three sides of one triangle are equal in length to the corresponding three sides of another triangle, then the two triangles are congruent. Here, for $\triangle ABC$ and $\triangle DEF$, we have $AB = DE$, $BC=EF$ and $AC = DF$ (corresponding sides are equal). So by SSS congruence, the two triangles are congruent. Also, congruent triangles are a special case of similar triangles (with a scale factor of 1), but the most accurate description here is that they are congruent.

Answer:

They are congruent triangles.