Question

1. what is the definition of congruence? a. if two figures have the same shape, then they are congruent. b. if two figures have the same area, then they are congruent. c. if there is a sequence of transformations taking one figure to another, then they are congruent. d if there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.

Explanation:

Congruent figures have the same shape and size. A sequence of rigid - motions (rotations, reflections, and translations) can map one congruent figure onto another. Having the same shape (A) is not enough as they must also have the same size. Having the same area (B) does not imply congruence. Just any sequence of transformations (C) is incorrect as non - rigid transformations like dilations are not allowed.

Answer:

D. If there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.