Question

Which statements will be true if two figures are congruent? Select all that apply.(3 points) Responses The figures will not have the same number of sides. The figures will not have the same number of sides. A series of transformations will take one figure to the other figure. A series of transformations will take one figure to the other figure. The areas of the figures will not be congruent. The areas of the figures will not be congruent. The perimeters of the figures will be congruent. The perimeters of the figures will be congruent. Corresponding sides will not be congruent. Corresponding sides will not be congruent. The figures will have the same angle measurements. The figures will have the same angle measurements.

Answer 1

If two figures are congruent, the following statements will be true:

1. A series of transformations will take one figure to the other figure. (True)
2. The perimeters of the figures will be congruent. (True)
3. The figures will have the same angle measurements. (True)

The other statements are false:

• The figures will not have the same number of sides. (False)
• The areas of the figures will not be congruent. (False)
• Corresponding sides will not be congruent. (False)

So the true statements are the first three listed above.