If two figures are congruent, the following statements will be true:
- The figures will have the same angle measurements.
- The perimeters of the figures will be congruent.
- A series of transformations will take one figure to the other figure.
The other statements are false:
- Corresponding sides will not be congruent. (This is false; corresponding sides of congruent figures are congruent.)
- The figures will not have the same number of sides. (This is false; congruent figures have the same number of sides.)
- The areas of the figures will not be congruent. (This is false; congruent figures have congruent areas.)
So, the true statements are the first three listed above.