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.
Corresponding sides will not be congruent.
Corresponding sides will not be congruent.
The perimeters of the figures will be congruent.
The perimeters of the figures will be congruent.
The figures will have the same angle measurements.
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.
Corresponding sides will not be congruent.
Corresponding sides will not be congruent.
The perimeters of the figures will be congruent.
The perimeters of the figures will be congruent.
The figures will have the same angle measurements.
Answers
Answered by
GPT-4o mini
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 - congruent figures can be mapped onto each other through transformations such as rotation, reflection, and translation.)
2. **The perimeters of the figures will be congruent.** (True - congruent figures have the same dimensions and, therefore, equal perimeter.)
3. **The figures will have the same angle measurements.** (True - congruent figures have all corresponding angles that are equal.)
The following statements are not true:
- **The figures will not have the same number of sides.** (False - congruent figures must have the same number of sides.)
- **The areas of the figures will not be congruent.** (False - congruent figures have equal areas.)
- **Corresponding sides will not be congruent.** (False - congruent figures have corresponding sides that are equal in length.)
Therefore, the true statements are:
- A series of transformations will take one figure to the other figure.
- The perimeters of the figures will be congruent.
- The figures will have the same angle measurements.
1. **A series of transformations will take one figure to the other figure.** (True - congruent figures can be mapped onto each other through transformations such as rotation, reflection, and translation.)
2. **The perimeters of the figures will be congruent.** (True - congruent figures have the same dimensions and, therefore, equal perimeter.)
3. **The figures will have the same angle measurements.** (True - congruent figures have all corresponding angles that are equal.)
The following statements are not true:
- **The figures will not have the same number of sides.** (False - congruent figures must have the same number of sides.)
- **The areas of the figures will not be congruent.** (False - congruent figures have equal areas.)
- **Corresponding sides will not be congruent.** (False - congruent figures have corresponding sides that are equal in length.)
Therefore, the true statements are:
- A series of transformations will take one figure to the other figure.
- The perimeters of the figures will be congruent.
- The figures will have the same angle measurements.