Which of the following statements about direct isometry is accurate?

Direct isometry refers to a transformation in geometry that preserves the position and orientation of points in a plane or space. This means that distances between points remain unchanged, and the direction of lines and angles is maintained as well.

In the context of the provided options, when understanding that direct isometry includes transformations such as translations, rotations, and reflections (though reflections in the case of non-direct isometry change orientation), we see that all points maintain their original distances from one another. Additionally, since the transformation does not involve any mirroring or flipping, the directions are also preserved, meaning that the overall orientation of shapes and figures is kept intact.

This preservation of both distance and direction is what makes the statement accurate. The other choices imply varying forms of distortion or change in orientation, which isn’t applicable in direct isometry. Thus, the accurate statement about direct isometry is that both distance and direction are preserved.