Explanation: In the context of geometry, shapes can be broadly categorized into two types: polygons and non-polygons. Polygons are shapes that have straight sides and corners (vertices). Examples of polygons include triangles, squares, rectangles, and pentagons. Each of these shapes has a defined number of sides and corners.
On the other hand, non-polygons are shapes that do not have straight sides or corners. The most common examples of non-polygons are circles and ovals. A circle is a shape where all points on its boundary are equidistant from a central point. This means that a circle has a continuous curved boundary with no straight edges or corners. Similarly, an oval is a shape that resembles a circle but is elongated, often resembling an egg. Like a circle, an oval also has a continuous curved boundary without any straight edges or corners.
The question asks for a shape that has no sides and no corners. Among the given options, only a circle and an oval fit this description. Triangles and squares, being polygons, have sides and corners, making them incorrect choices. Therefore, the correct answer is (B) Circle /oval.
Understanding the distinction between polygons and non-polygons is crucial in geometry. It helps in identifying and classifying shapes based on their properties, such as the presence or absence of sides and corners. This knowledge is fundamental in various fields, including mathematics, architecture, and design, where the properties of shapes play a significant role.