A transformation that maintains the same orientation as the original figure would be one that does not flip or mirror the figure.
- Translation moves a figure up, down, left, or right without changing its orientation.
- Rotation can also maintain the same orientation as long as the figure is rotated around its center or a point without flipping.
- Reflection, on the other hand, flips the figure over a line, resulting in a change in orientation.
Given the choices:
- A. translation only (this will maintain the same orientation)
- B. translation, rotation, and reflection (this will change orientation because of the reflection)
- C. translation and rotation (this will maintain the same orientation)
- D. reflection only (this will change orientation)
The transformations that will result in a figure that has the same orientation as the original figure are A (translation only) and C (translation and rotation).
If we must choose one from the given options, the best answer would be C. translation and rotation as it explicitly includes both transformations that maintain orientation.