Question

Which transformation(s) will result in a figure that has the same orientation as the original figure?(1 point) Responses reflection only reflection only translation and rotation translation and rotation translation only translation only translation, rotation, and reflection translation, rotation, and reflection

Answer 1

To determine which transformations result in a figure that maintains the same orientation as the original figure, let's break down the types of transformations:

1. Reflection: A reflection flips the figure over a line (the line of reflection), resulting in a change in orientation. Therefore, this does not maintain the same orientation.

2. Translation: A translation moves the figure in space without changing its shape or orientation. Hence, this maintains the same orientation.

3. Rotation: A rotation turns the figure around a fixed point. This also maintains the same orientation, as the figure retains its structure while only changing position.

Given this analysis, the transformations that maintain the same orientation are translation and rotation. Thus, the correct response is:

translation and rotation.