Geometry is a branch of mathematics that studies the properties, measurements, and relationships of points, lines, angles, surfaces, and solids. From basic lines and angles to complex structures, it helps us understand the world around us.
Foundations of Geometry
Introduces fundamental geometric concepts used to describe shapes and spatial relationships.
Plane Geometry (2D)
Studies two-dimensional shapes and their properties.
Triangles
- Triangles in Geometry
- Congruence of Triangles
- Similar Triangles
- Thales’s Theorem
- Criteria for Similarity of Triangles
- Pythagoras' Theorem and its Converse
Quadrilaterals & Polygons
- Quadrilaterals
- Types of Quadrilaterals
- Properties of a Quadrilateral
- Cyclic Quadrilateral
- Properties of Parallelograms
- Types of Polygons
- Polygon Formula
- Real-Life Application of Geometry
Circles
- Circles
- Circle Theorems
- Inscribed Shapes in a Circle
- Lengths of tangents drawn from an external point to a circle are equal
Solid Geometry (3D)
Studies three-dimensional objects and spatial measurements.
Coordinate Geometry
Uses algebra and coordinates to represent and analyze geometric figures.
- Introduction to Coordinate Geometry
- Distance Formula
- Section Formula
- Midpoint Formula
- Slope of a Line
- Equation of a Line
- Conic Sections
Euclidean & Non-Euclidean Geometry
Examines geometry in flat and curved spaces under different geometric rules.
- Introduction to Euclidean Geometry
- Postulates and Theorems
- Similarity
- Congruency
- Introduction to Non-Euclidean Geometry
Practice & Aptitiude
Practice questions and aptitude-style exercises in geometry.
- Geometry Aptitude Question Answers
- Practice Questions on Triangles
- Practice Questions on Congruence of Triangles
- Practice Question on Quadrilaterals
- Practice Questions on Properties of a Parallelogram
- Areas of Sector and Segment of a Circle Practice Problems
Geometry for Programmers
Geometric concepts to programming and computational methods.
- Program to calculate the length of the diagonal in a rectangle
- Program to find the Interior and Exterior Angle of a Regular Polygon
- Computational Geometry
- Program to check the similarity of two triangles
- Program to check the congruency of two triangles
- 3 Sum – Pythagorean Triplet in an array
- Find the Pythagorean Triplet with the given sum