Final answer:
If one triangle can be mapped to another triangle by a series of rigid transformations, then the triangles are called congruent, and their corresponding sides and angles are congruent.
Step-by-step explanation:
In mathematics, if one triangle can be mapped to another triangle by a series of rigid transformations, then the triangles are called congruent. This means that their corresponding sides and angles are congruent or equal in measure.
For example, if Triangle ABC can be mapped to Triangle DEF by a combination of translation, reflection, and rotation, then Triangle ABC and Triangle DEF are congruent. This means that side AB is equal in length to side DE, angle A is equal in measure to angle D, and so on.
Congruent triangles have the same shape and size, but they may be positioned differently in space.