Geometric Shapes: Amazing List of 2D & 3D Shapes in English

Everything that we can see in this world is made up of different geometric shapes. Heck, even the planet we live in is one big geometric shape if we look at it from space. Hence, it is important to know the majority of them not only for the sake of knowing what they are but also for our education as geometric shapes play an important role in different fields such as natural sciences and Mathematics. In this regard, we have made this article to briefly explain what exactly are geometric shapes as well as their many different types both two-dimensional (2D) and three-dimensional (3D).

What is a Geometric Shape?

By definition, geometric shapes are the purest form of an object or figure in a sense that no matter how much it is moved, rotated, enlarged, or reflected in the mirror, it will just stay in the same form as it was originally when you still did not touch it. To put it in even simpler terms, if you say that something is a circle in geometry, no matter what angle you look at it or how much you fiddle around with it, it will still have the property of a geometric circle.

With the birth of geometry, mathematicians started to make rules on what makes a certain geometric shape and these rules defined the different types of geometric shapes that we have today.

Geometric Shapes

To make it simpler, geometric shapes are divided into two major groups depending on their dimensions. The first group consists of two-dimensional (2D) shapes, which have length and width while the second group consists of three-dimensional (3D) shapes that have length, width, and depth.

2D Geometric Shapes

As explained above, 2D geometric shapes have length and width. Under 2D shapes, there are two further classifications namely polygons and non-polygons. Polygons are two-dimensional geometric shapes that are made up of straight lines that meet up at one of their endpoints and forms a closed figure. Non-polygons on the other hand, are closed figures made up of curved lines or a combination of straight lines and curved lines.

1. Triangles

A triangle is a type of polygon that exactly has three sides and three vertices, or corners. There are different kinds of triangles and they are classified through the length of their sides or through their interior angles.

Types of triangles according to the lengths of sides

A. Equilateral Triangle

It is a kind of triangle with all three sides having the same length.

Equilateral TrianglePin

B. Isosceles Triangle

It is a kind of triangle that exactly has two sides of equal length.

Isosceles TrianglePin

C. Scalene Triangle

It is a kind of triangle that has no sides of equal length.

Scalene TrianglePin

Types of triangles according to interior angles

A. Right Triangle

A triangle that has a 90-degree interior angle. The side directly opposite of this angle is called the hypotenuse, which is also the longest side of a right triangle.

Right TrianglePin

B. Oblique Triangle

It is simply a triangle that does not have a 90-degree interior angle. Under oblique triangles are two more types namely:

B.1. Acute Triangle

These triangles all have three of their interior angles measuring less than 90 degrees.

Acute TrianglePin

B.2. Obtuse Triangle

These triangles have one interior angle which measures above 90 degrees.

Obtuse TrianglePin

C. Degenerate Triangle

It is a triangle that has an interior angle of 180 degrees. However, it technically looks like a line segment if you try to draw it.

Degenerate TrianglePin

2. Quadrilaterals

Quadrilaterals are polygons that have exactly four sides and four corners. Quadrilaterals are divided into two major types namely, simple and complex.

A. Simple Quadrilateral

Simple quadrilaterals are quadrilaterals that do not intersect in themselves. This type is further divided into two which are:

A.1. Convex Quadrilaterals – All quadrilaterals belonging to this type does not have an interior angle of more than 180 degrees. The following are its types:

A1.1. Trapezium

A quadrilateral that has no sides that are parallel with each other.

TrapeziumPin

A1.2. Trapezoid

A quadrilateral that has exactly one pair of parallel sides.

TrapezoidPin

A1.3. Isosceles Trapezoid

A trapezoid that has base angles of equal value.

Isosceles TrapezoidPin

A1.4. Parallelogram

A quadrilateral with two pairs of parallel sides.

ParallelogramPin

A1.5. Rhombus

A quadrilateral with four equal sides.

RhombusPin

A1.6. Square

A type of rhombus which has four right angles.

SquarePin

A1.7. Rectangle

A type of parallelogram with all interior angles measuring 90 degrees.

RectanglePin

A1.8. Kite

A quadrilateral that has adjacent sides of equal lengths.

KitePin

A.2. Concave Quadrilaterals

A quadrilateral with an interior angle greater than 180 degrees. It only has one type which is called dart.

Concave QuadrilateralsPin

B. Complex Quadrilateral

These quadrilaterals intersect in themselves which makes it look like a simple bow-tie in shape.

Complex QuadrilateralPin

3. Concave and Convex Polygons

The main difference between concave and convex polygons lies in the measurement of their interior angles. A convex polygon simply has all of its interior angles measuring less than 180 degrees while a concave polygon has one or more interior angles going beyond 180 degrees.

3.1. Convex Polygon

Convex PolygonPin

3.2. Concave Polygon

Concave PolygonPin

4. Regular and Irregular Polygons

These two are other classifications of a polygon wherein regular polygons both have sides of equal lengths and interior angles of equal measurement. The most common examples of a regular polygon include an equilateral triangle, a square, a pentagon, and hexagons, and octagons. Irregular polygons, on the other hand, are figures which do not satisfy both conditions to be considered as a regular polygon.

4.1. Regular Polygons

Regular PolygonsPin

4.2. Irregular Polygons

Irregular PolygonsPin

5. Curve 2D shapes

As the name suggests, curved 2D shapes are closed figures formed by purely curved lines or a combination of straight lines and curved lines. As discussed earlier, all curved 2D shapes are also considered non-polygons. The most common examples of such geometric shapes are circles, ellipses, arcs, sectors, segments, parabolas, and hyperbolas.

5.1. Circle

CirclePin

5.2. Ellipse

EllipsePin

5.3. Sectors

SectorsPin

5.4. Parabola

ParabolaPin

5.5. Hyperbola

hyperbolaPin

3D Geometric Shapes

As mentioned earlier, three-dimensional (3D) shapes also known as solid figures, are figures that have both length, width, and an additional dimension which is termed as depth. Mathematically speaking, there are a lot of solid figures but the main types are as follows:

1. Cuboid

This type of solid figure has six faces in the shape of a rectangle. Each adjacent side of its face meets up and form an exact 90-degree angle.

CuboidPin

2. Parallelepiped

This figure is just like a cuboid except that its faces are parallelograms instead of rectangles. Hence, its adjacent faces do not create 90-degree angles.

ParallelepipedPin

3. Rhombohedron

This figure is a parallelepiped with all of its edges having the same length.

RhombohedronPin

4. Polyhedron

These are any solid figures which have polygonal faces that are flat as well as having sharp corners and straight edges.

PolyhedronPin

5. Prism

These are solid figures which have two bases that have identical dimensions connected by identical faces that are strictly parallelograms. The number of faces corresponds to the number of sides that the bases have.

PrismPin

6. Cone

A solid figure with a circular base that smoothly tapers to a point which is called a vertex.

ConePin

7. Cylinder

A cylinder is a solid figure with two circular bases at the top and bottom. Its sides are parallel with each other and its cross-section could be a circle or an oval depending on how it is cut.

CylinderPin

8. Ellipsoid

This figure is made by rotating an ellipse on its own axes.

EllipsoidPin

9. Lemon

This figure is made by rotating a circular arc on its major axis.

LemonPin

10. Hyperboloid

This solid figure is created when a hyperbola is rotated in one of its principal axes.

HyperboloidPin

11. Platonic Solids

These solids are regular, convex polyhedrons made up of faces that are regular polygons each. In geometry, only five solid figures have met these criteria and they are as follows:

11.1. Tetrahedron

Four faces

TetrahedronPin

11.2. Cube

Six faces

CubePin

11.3. Octahedron

Eight faces

OctahedronPin

11.4. Dodecahedron

Twelve faces

DodecahedronPin

11.5. Icosahedron

Twenty faces

IcosahedronPin

Geometric Shapes | Image

Geometric ShapesPin

Subscribe
Notify of
guest
0 Comments
Inline Feedbacks
View all comments
0
Would love your thoughts, please comment.x
()
x