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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...
- Definition of Curve in Math
- What Is A Curve in Math?
- Types of Curves in Math
- Examples of Curves in Math
- Curved Line
- Interior and Exterior of Closed Figures
- Solved Examples – Curves
- Summary
- Frequently Asked Questions on Curves
In mathematics, a curve is an abstract term used to describe the path of an uninterruptedly moving point (see continuity). Such a path is usually given by an equation. A closed curve is a path that repeats itself and thus encloses one or more than one region. Simple examples include circles, polygons, and ellipses.
A curve can be defined as the constant movement of points in all directions. It means that each and every possible shape can be classified as curves because all the shapes are formed by the movement of the points in one or multi-dimension. A curve can be an open curve or a closed curve. The figures below show an example of each type of simple curve...
Curves are categorised into different categories. Let us discuss the different types of curves with examples. The different types of curves are discussed below with figure for better understanding- 1. Simple Curve:A curve that changes its direction but it does not connect itself. A simple curve changes direction but does not criss-cross itself whil...
Let us identify the different types of curves in the given figure based on their properties.We can see that in Figure \(1\) the curve is a simple closed curve, as an area is bounded by the boundaries of the curve. In Figure \(2,\) the curve is a closed curve, as we observe the smooth surface and continuous edges. Figure \(3\) is an upward curve. Fi...
A curved line is a line that is bent and not straight. If the curvature is not equal to zero, then it is taken as a curve line. Generally, it is smooth and continuous.
1. The point that is lying inside the closed curve is called its interior 2. The point that is lying outside the closed curve is called its exterior 3. The point that lie on the curve constitute its boundary In the given figure, point \(P\) lies in its interior, \(Q\) in its exterior, and \(R\) lies on its boundary. Together the interior of the cur...
Q.1. Demonstrate each one of the following with a diagram roughly if possible. (a) A closed curve that is not a polygon. (b) An open curve made up of only line segments. (c) A curve that is neither closed nor simple. Explain. (d) A polygon with two sides. Ans: (a) A closed figure that is not a polygon is shown below: (b) An open curve made up entir...
In this article, we learnt that a curve is a shape or a line that is smoothly drawn in a plane having a bent or turns in it. There are different types of curves such as simple curves, non-simple curves, open curves, closed curves, upward and downward curves, etc. Also, we discussed points that are interior and exterior to a closed figure. We also p...
Q.1. What is called a curve? Ans:A curve is a shape or a line that is smoothly drawn in a plane having a bent or turns in it. Q.2. What is a curve definition suitable for Class 6? Ans:A curve is a path drawn on a sheet of paper without lifting the pencil and without retracing any point of the path except for single points. Q.3. Illustrate some exam...
Each geometric shape has a unique name (ex. rectangle, square, oval, etc) and geometrical shapes can be easily identified by looking at an image and seeing the shape’s characteristics, such as number of sides, angles, curves, or points. In fact, geometric shapes are all around you all of the time. Figure 01 below shows examples of common 2D ...
Curve is a line or shape that is smoothly drawn in a plane having a bent or turns in it. A curve is defined as a continuous and smooth flowing line without any sharp turns. A curve can be identified very easily. A line that bends and changes its direction at least once is classified as a curve. A circle and an ellipse are a few examples of ...
Curve. A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it. For example, a circle is an example of curved-shape. In Mathematics, Geometry is a branch that deals with shapes, sizes, and the properties of figures. Geometry can be classified into two types. They are: Two-dimensional geometry is the study of ...
The line segments or curves forming a closed figure are continuous, meaning there is no break. The lines/curves must also form a closed region to be considered a closed shape. A closed figure has area and perimeter. The following are a few examples. Closed figures can be further categorized into polygonal plane figures and non-polygonal plane ...
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The triangular prism shown below has plane figures for faces. Two of these faces are triangles. Lines, line segments, and rays. Lines, line segments, and rays are one-dimensional geometric figures. Example. The base of this triangle is a line segment. It has one dimension, length: Points. In the triangle above, the vertices are labeled A, B ...
