Final answer:
A figure with point symmetry will also have rotational symmetry. This is because point symmetry means that for any point on the figure, there exists another point directly opposite to it, thus enabling the figure to have rotational symmetry about the central point. Bilateral symmetry is related and often seen in nature, like in a butterfly's wings.
Step-by-step explanation:
If a figure has point symmetry, it is guaranteed to have rotational symmetry as well. Point symmetry, sometimes referred to as central symmetry, means that for every point on the figure, there is another point directly opposite to it on the other side of the center point, such that the middle point is equidistant from both.
This implies that the figure can be rotated 180 degrees about the central point and still look the same. An example of such symmetry can be found in a butterfly with patterned wings, which showcases both point and bilateral symmetry, where the butterfly can be divided into two symmetrical parts across a unique plane.
Bilateral symmetry is the type of symmetry where an object can be divided into two symmetrical parts across a unique plane, also known as a mirror plane. An everyday example of bilateral symmetry is the human face, which can be divided down the center into two roughly mirror-image halves.
Animals with bilateral symmetry typically have distinct anterior and posterior ends, as well as dorsal (back) and ventral (underbelly) sides, which are not symmetrical. Understanding symmetry is crucial as it is a major hallmark in the study of both natural occurrences and man-made objects, such as in optical devices where the symmetry axis plays a significant role.