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Geometry

  • Pythagoras’s theorem

    Pythagoras’s theorem

    Pythagoras’s theorem is a fundamental theorem in geometry that relates to the sides of a right-angled triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In mathematical notation, it can be expressed as: a2 + b2…

  • 2D Shapes – triangles

    2D Shapes – triangles

    A triangle is a geometrical shape that is formed by three straight lines or line segments that connect three non-collinear points in a plane. These three points are called vertices of the triangle, and the line segments connecting them are called sides. The triangle is a closed figure, and the region enclosed by the sides…

  • Polygons

    Polygons

    A polygon is a two-dimensional geometric shape that is formed by a closed chain of straight line segments. These line segments, called sides, connect to each other at their endpoints, which are known as vertices. The term “polygon” is derived from the Greek words “poly,” meaning “many,” and “gonia,” meaning “angle.” Key Features of Polygons:…

  • 2D shapes – circle

    2D shapes – circle

    The circle is a basic two-dimensional shape in geometry that consists of all the points in a plane that are at a constant distance, called the radius, from a given point, called the center. The circle is often symbolized by the letter “O” or “∘”. Some properties of circles include:

  • Two dimensional shapes

    Two dimensional shapes

    There are many two-dimensional shapes including those with more complex or irregular shapes. These shapes are often classified based on their number of sides and the angles between them. For example, a triangle has three sides and three angles, while a square has four sides and four right angles. Here is a list of common…

  • Geometry – shape and space

    Geometry – shape and space

    Shape and space are two fundamental concepts in mathematics that are closely related. Shape refers to the form or appearance of an object, while space refers to the extension or arrangement of objects in a particular area. Geometry is the branch of mathematics that is concerned with shape and space. It is used to study…

  • Geometry – what is it?

    Geometry – what is it?

    Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of figures, and the properties of space. It includes the study of points, lines, angles, surfaces, and solids. Geometry is a fundamental branch of mathematics and has numerous practical applications in fields such as engineering, physics, and architecture. Some…