An axially symmetric figure is a shape that looks exactly the same on both sides when divided by a straight line. This dividing line is called the axis of symmetry. If you fold the figure along this axis, both halves will match perfectly, like the wings of a butterfly.
When two separate figures are axially symmetric, they are mirror images of each other across a line of symmetry. If you place a mirror on the axis of symmetry, one figure would appear to be the reflection of the other. This relationship exists between two distinct shapes, unlike a single axially symmetric figure.
Both types of axial symmetry share the common feature of having a line of symmetry, but they differ in their structure. A single axially symmetric figure has one shape with internal symmetry, where both halves of the same figure match when folded. In contrast, axial symmetry between two figures involves separate shapes that are mirror images of each other across the axis.
Now let's demonstrate how axial symmetry works in practice. When we fold an axially symmetric figure along its axis of symmetry, both halves match perfectly. This folding test is the key way to identify whether a figure has axial symmetry. The two parts overlap completely, proving the figure is symmetric.