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Example 1: Identify whether the following shapes are open or closed shapes. Solution: In the image, there are both open and closed shapes. The first two shapes are open as in both shapes, the starting and end point are not the same. Hence, they are open shapes. The next three shapes are examples of different geometrical shapes such as heptagon ...
- What Is Closed Shapes?
- Difference Between Open and Closed Shapes
- Closed Shapes in Geometry
- Solved Examples
In geometry, a closed shape can be defined as an enclosed shape or figure whose line segments and/or curves are connected or meet end to end. Closed shapes start and end at the same point. The least number of sides required to make a closed shape is 3, which forms a polygon named a triangle.
The following table mentions all the differences between open and closed shapes based on their definitions. Let’s have a look:
The least number of sides a closed shape can have is 3, which is a polygon named triangle. 1. A triangle is a three-sided closed shape polygon having three vertices. 1. A circle is a closed shape with one face and no sides or vertices. 1. A quadrilateral is a four-sided closed shape having four vertices. Square, rectangle, rhombus, parallelogram, a...
Example 1. How many sides does this shape have? Is the shape closed or open? Solution: First, we count the number of straight lines in the shape. There are eight straight lines connected to each other, making an octagon. As this octagon’s outline may be traced without any gaps, it is a closed shape. Example 2. Are straight lines necessary to make c...
Examples of a quadrilateral are square, rectangle, rhombus, parallelogram, trapezium, etc. A pentagon is a closed shape with 5 sides and 5 vertices. A hexagon is a closed shape with 6 sides and 6 vertices. There are many other closed shapes in geometry apart from the ones that are mentioned above, for example, heptagon, octagon, decagon, oval, etc.
Before classifying shapes further in separate structures the basis of each shape depends on the following classification: Open Shapes: Open shapes are not continuous and are made up of line segments or curves which do not meet. They do not start and end at the same point. Closed Shapes: Closed shapes can be traced without any break.
Facts about Plane Shapes. Plane shapes, also known as 2D shapes, are flat figures that exist in a two-dimensional space, with length and width but no depth. A polygon is a closed plane figure with straight sides. Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, and so on. Circles are another type of plane shape.
- Symmetry refers to the balanced arrangement of elements. Plane shapes can exhibit symmetry, such as line symmetry (mirror image) or rotational symm...
- Plane shapes have various applications in real life, including architecture and design (floor plans, blueprints), art (paintings, sculptures, tesse...
- Congruent shapes are identical in shape and size, while similar shapes have the same shape but can differ in size.
- Plane shapes are two-dimensional and can be considered as the faces of three-dimensional shapes. Three-dimensional shapes are composed of plane sha...
- A polygon is a two-dimensional plane shape with straight sides, while a polyhedron is a three-dimensional solid shape with flat polygonal faces, ed...
- The area of a plane shape refers to the measure of the space enclosed within its boundaries, while the perimeter is the total length of its boundar...
- Two plane shapes are similar if their corresponding angles are equal, and the ratios of their corresponding side lengths are proportional.
- Flat shapes and plane shapes refer to the same concept.Both terms are used interchangeably to describe two-dimensional figures that exist on a flat...
To sum up, there are two types of shapes: open and closed shapes. Open shapes are figures or shapes that have different starting and ending points. Their ends are open, i.e., do not meet. Since they have open ends, these shapes do not have a fixed area. Also, they do not have a well-defined interior and exterior region.
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Open and Closed Shapes. In this video, we will learn how to identify and draw open and closed shapes. An open shape is a shape whose line segments or curves do not meet. The two ends of this shape don’t meet. This is an open shape. This is also an open shape. Its line segments do not meet. We call this a closed shape.
