What indicates that two triangles are congruent?

Two triangles are considered congruent if they have the same shape and size, which can be verified through several criteria. The criteria include the relationship between their corresponding sides and angles.

When the corresponding sides of two triangles are congruent, it ensures that the triangles will have the same dimensions, thus making them identical in size. Similarly, if the corresponding angles are equal, it indicates that each vertex in one triangle has a matching angle in the other triangle, which further reinforces the concept of congruence.

Congruence can be confirmed through several methods, including the Side-Side-Side (SSS) condition, where all three sides are equal; the Side-Angle-Side (SAS) condition, where two sides and the angle between them are equal; and the Angle-Side-Angle (ASA) criterion, where two angles and the side between them are equal. Therefore, if either the sides or the angles of the triangles correspond in this way, it confirms congruence.

In the context of this question, identifying that both the angles and the sides correspondingly match leads to the conclusion that the triangles are congruent, making the option reflecting both criteria the correct choice. While transformations like rotation can illustrate congru