# Geometry

Geometry is a branch of mathematics that studies the shapes, sizes, properties, and dimensions of objects in space. Here are some fundamental geometry topics. Please click on the link to read more about the topic:

Points, Lines, and Planes: The basic building blocks of geometry. A point has no size, a line is straight and extends infinitely in both directions, and a plane is a flat, two-dimensional surface.

Angles: Angles are formed when two rays share a common endpoint. They are measured in degrees and are classified as acute, right, obtuse, straight, and reflex.

Triangles: Triangles are three-sided polygons. They come in various types, including equilateral, isosceles, and scalene triangles, as well as right triangles.

Quadrilaterals: Four-sided polygons that include squares, rectangles, parallelograms, rhombuses, and trapezoids.

Circles: The set of all points in a plane that are equidistant from a fixed center point. Circles have a radius, diameter, and circumference.

Polygons: Closed shapes with straight sides. Regular polygons have equal angles and sides, while irregular polygons have unequal angles and sides.

Perimeter and Area: Perimeter is the distance around a shape, while area is the measure of the space enclosed by a shape. Different shapes have various formulas for calculating their perimeter and area.

Congruence and Similarity: Congruent figures have the same shape and size, while similar figures have the same shape but may differ in size.

Transformations: Transformations include translations (slides), reflections (flips), rotations (turns), and dilations (changes in size).

Coordinate Geometry: A branch of geometry that uses coordinates to study the properties and relationships of geometric figures. The Cartesian plane is a common tool in coordinate geometry.

Solid Geometry: The study of three-dimensional shapes, including prisms, pyramids, cylinders, cones, and spheres. Topics include surface area and volume.

Trigonometry: The branch of mathematics that deals with the relationships between the angles and sides of triangles. Trigonometry has applications in various geometric problems.

Geometric Proofs: A logical argument that shows a statement is true. Geometric proofs are used to establish the validity of geometric principles.

Polyhedra: Three-dimensional figures with flat faces, edges, and vertices. Examples include cubes, tetrahedra, and dodecahedra.

Non-Euclidean Geometry: A branch of geometry that explores geometric systems that differ from classical Euclidean geometry, such as spherical geometry and hyperbolic geometry.

Analytic Geometry: The study of geometric objects using algebraic methods. It combines geometry and algebra to analyze and graph geometric shapes.

These topics provide a foundation for understanding the geometry of various shapes and spaces, and they have applications in fields such as architecture, engineering, physics, and computer graphics.