A method for proving similarity of triangles: if two angles are congruent to their corresponding parts in another triangle, then the triangles are similar.
A method for proving congruence of triangles: if two angles and a side not included by those angles are congruent to their corresponding parts in another triangle, then the triangles are congruent.
A method for proving congruence of triangles: if two angles and their included side are congruent to their corresponding parts in another triangle, then the triangles are congruent.
Triangles whose corresponding angles and sides are all congruent.
Polygons whose corresponding sides and interior angles are all congruent.
The angles or sides in a polygon organized such that each angle and each side coincides with exactly one angle or side in another polygon--the pairs of angles and sides in each polygon are called corresponding parts.
A method for proving congruence of right triangles: if one leg and the hypotenuse are congruent to their corresponding parts in another right triangle, the right triangles are congruent.
A method for proving congruence or similarity of triangles: if two sides are congruent or proportional and their included angle is congruent to their corresponding parts of another triangle, then the triangles are congruent or similar, respectively.
Triangles whose corresponding angles are congruent and whose corresponding sides are proportional. Congruence is a subset of similarity.
A method for proving the congruence or similarity of triangles: if the three sides of a triangle are congruent to their corresponding parts, then the triangles are congruent. If the three sides of a triangle are proportional to their corresponding parts in another triangle, then the triangles are similar.