Open and Closed Shapes
Concept
Shapes define the boundary of an object and can be differentiated in many ways based on their properties. These shapes are closed by a boundary which is made by combining the curves, points, and line segments. Each shape has a name depending upon the structure. Few shapes are circle, square, rectangle, triangle, and so on.
Shapes can be classified into various categories. 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. They start and end in the same place.
Rules
Identify open and closed shapes based on the following properties:
Open Shapes: Open shapes are not continuous and are made up of line segments or curves which do not meet.
Closed Shapes: Closed shapes can be traced without any break. They start and end in the same place.
Example
Identify the shapes as open or closed.
Solution
The first shape is closed because it starts and ends in the same place. It does not have a break or any opening.
The second shape is open as the curves do not meet. It has a break and does not start and end at the same point.
Practice Open and Closed Shapes
Practice Problem 1
Is this shape open or closed?
Practice Problem 2
Is this shape open or closed?
Practice Problem 3
Sort the shapes using the given criteria.
Shape – the boundary or outline of an object.
Open shapes – shapes or figures whose line segmented and/or curves do not meet. They do not start and end at the same point.
Closed shapes – enclosed shapes or figures whose line segments and/or curves are connected or meet. They start and end at the same point.