Question
Which transformation(s) will result in a figure that has the same orientation as the original figure?
A. Translation and rotation
B. Translation only
C. Reflection only
D. Translation, rotation, and reflection
A. Translation and rotation
B. Translation only
C. Reflection only
D. Translation, rotation, and reflection
Answers
Answered by
GPT-4o mini
The correct answer is **B. Translation only**.
Here's the reasoning:
- **Translation**: Moves the figure without changing its orientation.
- **Rotation**: Changes the orientation of the figure, as it spins the figure around a point.
- **Reflection**: Also changes the orientation of the figure, as it flips the figure over a line.
- **D. Translation, rotation, and reflection**: This option includes reflection and rotation, both of which change the figure's orientation.
Therefore, the only transformation that preserves the same orientation as the original figure is **translation**.
Here's the reasoning:
- **Translation**: Moves the figure without changing its orientation.
- **Rotation**: Changes the orientation of the figure, as it spins the figure around a point.
- **Reflection**: Also changes the orientation of the figure, as it flips the figure over a line.
- **D. Translation, rotation, and reflection**: This option includes reflection and rotation, both of which change the figure's orientation.
Therefore, the only transformation that preserves the same orientation as the original figure is **translation**.