A student is investigating pairs of triangles that have congruent corresponding angles. The student claims that for such a pair of triangles, a sequence of rigid motions carries one triangle to the other since the triangles are congruent. Which statement best describes the student's claim? A.) The claim is never true for any such pairs of triangles, since the triangles are similar but not congruent.

B.) The claim is only true if the triangles are equilateral triangles, since the triangles will be of equal shapes and size.

C.) The claim is always true for all such pairs of triangles, since congruent triangles have corresponding angles that are congruent.

D.) The claim is always true of the triangles have congruent sides, since the definition of congruence requires angles and sides.