How is symmetry related to reflections in geometry?

Symmetry in geometry is closely linked to reflections because it inherently relies on the concept of mirroring across a line or plane. When a shape is symmetric with respect to a line (in two dimensions) or a plane (in three dimensions), every point on one side of the line/plane has a corresponding point on the other side that is an equal distance away from that line/plane.

This property of symmetry ensures that the distances between corresponding points on either side of the axis of symmetry are identical. As a result, symmetrical figures exhibit a balance and harmony in their shape, where one half is a mirror image of the other. This relationship is a foundational aspect of understanding transformations in geometry, which includes reflections.

Therefore, the correct answer reflects this principle, highlighting that symmetry results in equal distances for corresponding points when an object is reflected across its axis of symmetry.