Table of Contents
Geometric Shapes Meaning
Geometric shapes are the figures used in mathematics to represent the shapes of real-world objects. Shapes are the forms of things in geometry that have surfaces, angles, and boundary lines. Both 2D and 3D shapes come in a variety of varieties.
Shapes are also categorized according to how uniform or regular they are. A regular shape, such a square, circle, etc., is typically symmetrical. Asymmetrical forms are irregular shapes. They are also known as organic shapes or freeform shapes. For instance, a tree’s shape is erratic or organic.
List of Geometric Shapes
List of 2D Geometric Shapes:
- Polygons (Pentagon, Hexagon, Octagon, Nonagon, Decagon, etc.)
List of 3D Geometric Shapes:
Geometric Shapes Properties and Examples
Here are the properties of Geometric Shapes:
- The two-dimensional shapes in plane geometry are flat and closed shapes like circles, squares, rectangles, and rhombuses, among others.
- The three-dimensional shapes in solid geometry are the cube, cuboid, cone, sphere, and cylinder. All of these shapes are visible to us in daily life.
- As an illustration, consider the shapes of books (cuboids), glasses (cylindrical), traffic cones (conical), and so forth.
- The figures that represent the shapes of various objects are known as geometrical shapes.
- While some figures are three-dimensional shapes, some are two-dimensional figures.
- Three-dimensional shapes are located on the x, y, and z axes while two-dimensional figures only exist on the x, y, and z axes.
- The object’s height is displayed along the z-axis.
- There are various shapes specified in geometry, as we just covered in the introduction.
- Start with a line, a line segment, or a curve to create any of these figures.
- Different types of forms and figures, such as a triangle, a figure with three connected line segments, a pentagon (five line segments), and so on, can be obtained depending on the quantity and arrangement of these lines.
Geometric Shapes Images in Maths
The polygonal shape known as a triangle has three sides, three edges, and three vertices. Additionally, the total of its interior angles is 180 degrees.
A circle is a collection of all points that are all at the same set distance from a common central point.
The quadrilateral known as the “square” has four equal sides and angles, and each of its vertices has a 90° angle.
Two opposite sets of sides that are equal in length make up a quadrilateral, and the interior angles are at right angles.
A parallelogram is a quadrilateral with opposite angles that are equal in size and two pairs of parallel sides.
These are composed out of straight line segments. They are closed constructions with a variety of side lengths and angles.
Geometry Shapes Examples in Maths
Geometry encompasses a wide variety of shapes, each with its unique characteristics and properties. Here are some examples of basic geometric shapes:
- Point: A point is a basic element in geometry, representing a position in space. It has no dimensions and is usually denoted by a dot.
- Line: A line is a straight path that extends infinitely in both directions. It is one-dimensional and has no thickness. It is represented by a straight line with two arrowheads.
- Line Segment: A line segment is a part of a line that has two endpoints. It is finite in length and can be measured.
- Ray: A ray is a part of a line that has one endpoint and extends infinitely in one direction.
- Angle: An angle is formed by two rays with a common endpoint, known as the vertex. Angles are measured in degrees.
- Triangle: A triangle is a three-sided polygon. It is the simplest polygon and comes in various types, such as equilateral, isosceles, and scalene, based on the lengths of its sides.
- Quadrilateral: A quadrilateral is a four-sided polygon. Examples include squares, rectangles, parallelograms, and trapezoids.
- Circle: A circle is a shape with all points equidistant from its center. It is defined by its radius (distance from the center to any point on the circle) and diameter (twice the radius).
- Square: A square is a special type of quadrilateral with four equal sides and four right angles.
- Rectangle: A rectangle is a quadrilateral with four right angles. Opposite sides are equal in length.
- Parallelogram: A parallelogram is a quadrilateral with opposite sides that are parallel to each other.
- Trapezoid: A trapezoid is a quadrilateral with at least one pair of parallel sides.
- Cube: A cube is a three-dimensional shape with six square faces of equal size.
- Sphere: A sphere is a three-dimensional shape with all points equidistant from its center.
- Cylinder: A cylinder is a three-dimensional shape with two parallel circular bases.
- Cone: A cone is a three-dimensional shape with a circular base and a single vertex.
These are just a few examples of the many shapes found in geometry. Geometric shapes are fundamental building blocks in mathematics and have various applications in everyday life, architecture, engineering, and design.