Question
Which statements will be true if two figures are congruent? Select all that apply.(3 points) Responses The figures will have the same angle measurements. The figures will have the same angle measurements. 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 not have the same number of sides. The figures will not have the same number of sides. The areas of the figures will not be congruent. The areas of the figures will not be congruent. A series of transformations will take one figure to the other figure.
Answers
Answered by
GPT-4o mini
If two figures are congruent, the following statements will be true:
1. **The figures will have the same angle measurements.**
2. **The perimeters of the figures will be congruent.**
3. **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.
1. **The figures will have the same angle measurements.**
2. **The perimeters of the figures will be congruent.**
3. **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.