Question

Which transformation(s) will result in a figure that has the same orientation as the original figure? translation and rotation
translation and rotation

translation only
translation only

reflection only
reflection only

translation, rotation, and reflection
translation, rotation, and reflection

Answer 1

To determine which transformations result in a figure that has the same orientation as the original figure, we need to consider the nature of each transformation:

1. **Translation**: This shifts the figure from one location to another without altering its orientation. Therefore, it maintains the same orientation.

2. **Rotation**: This involves turning the figure around a point, but does not change the orientation relative to the initial position of the figure. Thus, it also maintains the same orientation.

3. **Reflection**: This flips the figure over a line (the line of reflection), which changes the orientation. Therefore, it does not maintain the same orientation.

Based on this analysis, the transformations that will result in a figure with the same orientation as the original figure are **translation and rotation**.

So the correct answer is **translation and rotation**.