In the context of opposite isometry, what happens to distance and direction?

In the context of opposite isometry, the defining characteristic is that the distances between points in a geometric figure are preserved while the direction is reversed. This means that if you take a point in a geometric space and apply an opposite isometry, the distance from that point to any other point remains the same, indicating that the shape and spatial relationship of figures are unchanged in terms of size, but the orientation is flipped.

This reversal of direction means that if you track a line segment or vector, it will point in the opposite way after the transformation, even though its length remains unchanged. This is important in various applications such as reflections over lines or planes, where figures are flipped over, preserving the size and shape but altering how they are oriented in space.

Understanding this concept is crucial in geometry, especially when dealing with transformations that involve mirrors or flips in a coordinate plane. Thus, the appropriate description of the behavior during an opposite isometry is that distance is preserved, and direction is indeed reversed.